The main direction of research is computational mechanics and optimal control of dynamical systems. Efficient technologies for structural mechanics and optimal control simulations are developed, facing contemporary life science and engineering questions. The problems under investigation consider flexible multibody dynamics, coupled problems, biomechanics, and robot dynamics as well as the optimization and optimal control of their dynamics including non-smooth or mixed-integer variants and multiobjective optimization. Furthermore, (human) motion is captured and investigated in our motion analysis laboratory and the measured data in analyzed directly and in simulations.
Research projects
Biomechanics (natural or impaired human movements and athletic’s high performance, human hand grasping)
Biological and artificial muscles models
Phase-field models for fracture
Multiscale and multirate systems with dynamics on various times
Current projects
Symplectic discretizations for optimal control problems in mechanics
(Third Party Funds Single)
Term: since 15. February 2023Funding source: DFG-Einzelförderung / Sachbeihilfe (EIN-SBH)
Simulation of optimal control problems via geometric methods
(Own Funds)
Analysis of Degenerative Motion Impairments through Integration of Empathokinaesthetic Sensor Data in Biomechanical Human Models (C04)
(Third Party Funds Group – Sub project)
Overall project: Empatho-Kinaesthetic Sensor Technology
Term: 1. July 2021 - 30. June 2025
Funding source: DFG / Sonderforschungsbereich (SFB)
URL: https://www.empkins.de/
The focus of the work program is on the best possible integration of empathokinaesthetic sensor data in biomechanical models. Concretely, degenerative motion impairments of the hand are recorded by EmpkinS and reference sensors and the date is integrated optimally into the mathematical formulation of the optimal control problem, depending on the data type, measurement frequency and uncertainty, etc. Through movement tracking as well as via the prediction of movement, objective biomarkers are identified for healthy or impaired movement function.
P14 – Passage from Atomistic-to-Continuum for Quasistatic and Dynamic Crack Growth
(Third Party Funds Group – Sub project)
Overall project: GRK 2423 FRASCAL: Skalenübergreifende Bruchvorgänge: Integration von Mechanik, Materialwissenschaften, Mathematik, Chemie und Physik (FRASCAL)Term: 1. April 2019 - 31. December 2027Funding source: DFG / Graduiertenkolleg (GRK)
We extend the rigorous identification of Griffith models from atomistic systems governed by Lennard-Jones interactions [FrSc15a] to general lattice systems including long-range and multi-body interactions. Here, we will apply techniques from the paper [BaBrCi20] and complement their analysis by showing the Cauchy-Born rule in the setting of small displacements. Applying the Gamma-convergence approach to composite materials, we also aim at studying the influence of different mesoscopic on the macroscopic fracture properties. This connects our perspective to projects P8 and P11. Our main goal is then to establish existence of an atomistic continuous–time evolution and relate it rigorously to continuum quasi-static evolutions [FrLa03, FrSo18] by means of evolutionary Gamma-convergence for rate-independent systems. Here, a key issue consists in verifying stability of unilateral minimisers along the irreversible fracture process.
Teilprojekt P2 - Atomistics of Crack-Heterogeneity Interactions
(Third Party Funds Group – Sub project)
The fracture of a brittle solid is crucially determined by material heterogeneities directly at the crack front where the stress field diverges and the usual homogenization strategies are no longer applicable. While this problem has attracted significant interest, currently no consistent theory that relates local changes in properties to the local fracture behavior and macroscopic failure criteria exists. In contrast to the long-range elastic interactions, the direct interaction of the crack front with heterogeneities cannot be described by continuum methods but requires an atomistic treatment.
The aim of this project is to study the influence of various types of heterogeneities on the energy dissipation mechanisms in different classes of materials.
Teilprojekt P9 - Adaptive Dynamic Fracture Simulation
(Third Party Funds Group – Sub project)
In the simulation of continuum mechanical problems of materials with heterogeneities caused e.g. by a grained structure on a smaller scale compared to the overall dimension of the system, or by the propagation of discontinuities like cracks, the spatial meshes for finite element simulations are typically consisting of coarse elements to save computational costs in regions where less deformation is expected, as well as finely discretised areas to be able to resolve discontinuities and small scale phenomena in an accurate way. For transient problems, spatial mesh adaption has been the topic of intensive research and many strategies are available, which refine or coarsen the spatial mesh according to different criteria. However, the standard is to use the same time step for all degrees of freedom and adaptive time step controls are usually applied to the complete system.
The aim of this project is to investigate the kinetics of heterogeneous, e.g. cracked material, in several steps by developing suitable combinations of spatial and temporal mesh adaption strategies.
Fracture across Scales: Integrating Mechanics, Materials Science, Mathematics, Chemistry, and Physics (FRASCAL)
(Third Party Funds Group – Overall project)
The RTG aims to improve understanding of fracture in brittle heterogeneous materials by developing simulation methods able to capture the multiscale nature of failure. With i) its rooting in different scientific disciplines, ii) its focus on the influence of heterogeneities on fracture at different length and time scales as well as iii) its integration of highly specialised approaches into a “holistic” concept, the RTG addresses a truly challenging cross-sectional topic in mechanics of materials. Although various simulation approaches describing fracture exist for particular types of materials and specific time and length scales, an integrated and overarching approach that is able to capture fracture processes in different – and in particular heterogeneous – materials at various length and time resolutions is still lacking. Thus, we propose an RTG consisting of interdisciplinary experts from mechanics, materials science, mathematics, chemistry, and physics that will develop the necessary methodology to investigate the mechanisms underlying brittle fracture and how they are influenced by heterogeneities in various materials. The insights obtained together with the methodological framework will allow tailoring and optimising materials against fracture. The RTG will cover a representative spectrum of brittle materials and their composites, together with granular and porous materials. We will study these at length and time scales relevant to science and engineering, ranging from sub-atomic via atomic and molecular over mesoscale to macroscopic dimensions. Our modelling approaches and simulation tools are based on concepts from quantum mechanics, molecular mechanics, mesoscopic approaches, and continuum mechanics. These will be integrated into an overall framework which will represent an important step towards a virtual laboratory eventually complementing and minimising extensive and expensive experimental testing of materials and components. Within the RTG, young researchers under the supervision of experienced PAs will perform cutting-edge research on challenging scientific aspects of fracture. The RTG will foster synergies in research and advanced education and is intended to become a key element in FAU‘s interdisciplinary research areas “New Materials and Processes” and “Modelling–Simulation–Optimisation”.
Recent publications
2025
Celledoni, E., Çokaj, E., Leone, A., Leyendecker, S., Murari, D., Owren, B.,... Stavole, M. (2025). Neural networks for the approximation of Euler’s elastica . Computer Methods in Applied Mechanics and Engineering , 435 . https://doi.org/10.1016/j.cma.2024.117584
Coppers, B., Heinrich, S., Tascilar, K., Phutane, U., Kleyer, A., Simon, D.,... Liphardt, A.-M. (2025). Sensor-assessed grasping time as a biomarker of functional impairment in rheumatoid arthritis . Scientific Reports , 15 . https://doi.org/10.1038/s41598-025-90295-7
Jadhav, D., Phansalkar, D., Weinberg, K., Ortiz, M., & Leyendecker, S. (2025). A New Approach to Asynchronous Variational Integrators for a Phase Field Model of Dynamic Fracture . International Journal for Numerical Methods in Engineering . https://doi.org/10.1002/nme.70025
Jadhav, D., Phansalkar, D., Weinberg, K., Ortiz, M., & Leyendecker, S. (2025). Computational efficiency of dynamic phase field fracture simulations using a new asynchronous variational integrator . In Proceedings of the conference, GAMM PF 25 and Materials/Microstructure modelling: Analytics & Benchmarks . Karlsruhe, DE.
Lavaill, M., Chen, X., Heinrich, S., Pivonka, P., & Leyendecker, S. (2025). Muscle path predictions using a discrete geodesic Euler–Lagrange model in constrained optimisation: comparison with OpenSim and experimental data . Multibody System Dynamics . https://doi.org/10.1007/s11044-025-10055-3
Leyendecker, S. (2025). Geometric integration of geometrically exact beam dynamics and optimal control problems . In Proceedings of the conference, BIRS – Geometric Mechanics Formulations for Continuum Mechanics . Banff, CA.
Leyendecker, S., Liphardt, A.-M., Pivonka, P., & Martelli, S. (2025). Preventing Disuse-Induced Osteoporosis .
2024
Blazek, V., Loy, N., Jukic, E., Coppers, B., Fleischmann, M.E., Hübner, J.,... Liphardt, A.-M. (2024). AB0930 Towards Objective Measurement Of Spinal Mobility In Axial Spondyloarthritis – Benchmarking An Inertial Measurement Unit System With An Optical Measurement System . Annals of the Rheumatic Diseases , 1774-1775. https://doi.org/10.1136/annrheumdis-2024-eular.5778
Bräunig, J., Heinrich, S., Coppers, B., Kammel, C., Wirth, V., Stamminger, M.,... Vossiek, M. (2024). A Radar-Based Concept for Simultaneous High-Resolution Imaging and Pixel-Wise Velocity Analysis for Tracking Human Motion . IEEE Journal of Microwaves , 4 , 639-652. https://doi.org/10.1109/JMW.2024.3453570
Capobianco, G., Breuling, J., & Leyendecker, S. (2024). A RATTLE integrator for the
simulation of unilaterally constrained mechanical systems . In Proceedings of the conference, GAMM Annual Meeting . Magdeburg, DE.
Capobianco, G., Breuling, J., & Leyendecker, S. (2024). Event-capturing simulation of nonsmooth systems .
Capobianco, G., Breuling, J., & Leyendecker, S. (2024). Nonsmooth Lobatto-type variational integrators based on the
discretization of the virtual action . In Proceedings of the conference, ENOC European Nonlinear Dynamics Conference . Delft, NL.
Chen, X., Lavaill, M., Heinrich, S., Pivonka, P., & Leyendecker, S. (2024). Comparison of muscle path predictions using OpenSim and a novel geodesic model . In Proceedings of the conference, DGfB Deutsche Gesellschaft für Biomechanik . Heidelberg, DE.
Chen, X., Lavaill, M., Heinrich, S., Pivonka, P., & Leyendecker, S. (2024). Comparison of muscle path predictions using OpenSim and anovel geodesic model . In Proceedings of the conference, Netzwerktagung der Alexander von Humboldt Stiftung . Erlangen, DE.
Chen, X., & Leyendecker, S. (2024). Kinematic analysis of kinases and their oncogenic mutations – Kinases and their mutation kinematic analysis . Molecular Informatics , 43 (5). https://doi.org/10.1002/minf.202300250
Coppers, B., Heinrich, S., Bayat, S., Tascilar, K., Kleyer, A., Simon, D.,... Liphardt, A.-M. (2024). AB0208 Reduced Hand Function Indicates Higher Disease Activity In Patients With Rheumatoid And Psoriatic Arthritis . Annals of the Rheumatic Diseases , 1342.1-1342. https://doi.org/10.1136/annrheumdis-2024-eular.1112
Fleischmann, S., Dietz, S., Shanbhag, J., Wünsch, A., Nitschke, M., Miehling, J.,... Koelewijn, A. (2024). Exploring Dataset
Bias and Scaling Techniques in Multi-Source Gait Biomechanics: An Explainable
Machine Learning Approach . ACM Transactions on Intelligent Systems and Technology , 20 (1). https://doi.org/10.1145/3702646
Fleischmann, S., Holzwarth Correa, V., Coppers, B., Sadeghi, M., Richer, R., Kleyer, A.,... Liphardt, A.-M. (2024). Classification of rheumatoid arthritis from hand motion capture data using machine learning . In Proceedings of the 13. Kongress der Deutschen Gesellschaft für Biomechanik (DGfB) . Heidelberg.
Heinrich, S., Coppers, B., Liphardt, A.-M., & Leyendecker, S. (2024). Optimal Control Simulation of Full Hand Flexion MovementsExploiting Optical Marker Tracking . In Proceedings of the conference, Scientific Meetings of ANZSB & ANZORS . Melbourne, AU.
Heinrich, S., Michaelis, J., Reiher, I., Coppers, B., Lohmayer, M., Fleischmann, M.E.,... Liphardt, A.-M. (2024). Comparison and Improvement of CyberGlove III calibration methods . IEEE Sensors , 24 (9). https://doi.org/10.1109/JSEN.2024.3376606
Jadhav, D., Phansalkar, D., Weinberg, K., Ortiz, M., & Leyendecker, S. (2024). A spatially adaptive phase field
model for static and dynamic fracture . In Proceedings of the conference, IUTAM Symposium Computational Fracture Mechanics in Multi-
Field Problems . Bad Honnef, DE.
Jadhav, D., Phansalkar, D., Weinberg, K., Ortiz, M., & Leyendecker, S. (2024). Simulating Dynamic Phase Field Fracture using a New Asynchronous Variational Integrator . In Proceedings of the conference, 10th FRASCAL seminar . Erlangen, DE.
Jadhav, D., Weinberg, K., Ortiz, M., & Leyendecker, S. (2024). Phase Field Modeling of Dynamic Fracture using a Modified Asynchronous Variational Integrator . In Proceedings of the conference, European Conference on Fracture 2024 . Zagreb, HR.
Konopik, M., & Leyendecker, S. (2024). Geometric numerical integration . In Proceedings of the conference, Netzwerktagung der Alexander von Humboldt Stiftung . Erlangen, DE.
Leyendecker, S. (2024). Biomechanical modelling and simulation —
Muskuloskeletal systems .
Leyendecker, S. (2024). Research at the Institute of Applied Dynamics . In Proceedings of the conference, Netzwerktagung der Alexander von Humboldt Stiftung . Erlangen, DE.
Leyendecker, S., Martonová, D., & Stavole, M. (2024). Structure preserving neural network-based methods — Euler’s elastica and cardiac model discovery . In Proceedings of the conference, NUMDIFF-17 Conference on the Numerical Solution of Differential and Differential-Algebraic Equations . Halle, DE.
Leyendecker, S., Maslovskaya, S., Ober-Blöbaum, S., Sato Martin de Almagro, R., & Szemenyei, F. (2024). A new Lagrangian approach to control affine systems with a quadratic Lagrange term . Journal of Computational Dynamics , 11 (3), 336-353. https://doi.org/10.3934/jcd.2024017
Lohmayer, M., Capobianco, G., & Leyendecker, S. (2024). Exergetic port-Hamiltonian systems for multibody dynamics . Multibody System Dynamics . https://doi.org/10.1007/s11044-024-10038-w
Lohmayer, M., Lynch, O., Capobianco, G., & Leyendecker, S. (2024). Recent progress on the EPHS modeling language: Multibody systems and discrete-time semantics . In Proceedings of the conference, 2nd Brig Workshop on Dissipativity in Systems and Control . Brig, CH.
Loy, N., Blazek, V., Jukic, E., Fleischmann, M.E., Coppers, B., Hübner, J.,... Liphardt, A.-M. (2024). POS0494 Fear Of Movement Affects Range Of Motion During Repeated Basmi Exercises Assessed By State-Of-The-Art Motion Capture Techniques . Annals of the Rheumatic Diseases , 936.3-937. https://doi.org/10.1136/annrheumdis-2024-eular.5298
Martonová, D., Peirlinck, M., Linka, K., Holzapfel, G.A., Leyendecker, S., & Kuhl, E. (2024). Automated model discovery for human cardiac tissue . In Proceedings of the conference, Netzwerktagung der Alexander von Humboldt Stiftung . Erlangen, DE.
Martonová, D., Peirlinck, M., Linka, K., Holzapfel, G.A., Leyendecker, S., & Kuhl, E. (2024). Automated model discovery for human cardiac tissue: Discovering the best model and parameters . Computer Methods in Applied Mechanics and Engineering , 428 . https://doi.org/10.1016/j.cma.2024.117078
Martonová, D., Peirlinck, M., Linka, K., Holzapfel, G.A., Leyendecker, S., & Kuhl, E. (2024). Constitutive neural networks for model discovery of myocardial tissue . In Proceedings of the conference, CMBBE 2024 SYMPOSIUM, 19th International Symposium on Computer Methods in Biomechanics and Biomedical Engineering . Vancouver, CA.
Nitschke, M., Dorschky, E., Leyendecker, S., Eskofier, B., & Koelewijn, A. (2024). Estimating 3D kinematics and kinetics from virtual inertial sensor data through musculoskeletal movement simulations . Frontiers in Bioengineering and Biotechnology , 12 . https://doi.org/10.3389/fbioe.2024.1285845
Sato Martin de Almagro, R., Szemenyei, F., Ober-Blöbaum, S., & Leyendecker, S. (2024). A new Lagrangian approach to regular control-affine mechanical systems . In Proceedings of the conference, Workshop on Geometric Control and Mechanics . ACT - American College of Thessaloniki, Thessaloniki, GR.
Scheiterer, E., Heinrich, S., Liphardt, A.-M., & Leyendecker, S. (2024). Marker position uncertainty in joint angle analysis for normal human gait — A new error-modelling approach . Biomedical Signal Processing and Control , 95 . https://doi.org/10.1016/j.bspc.2024.106474
Stavole, M., Sato Martin de Almagro, R., Capobianco, G., Brüls, O., & Leyendecker, S. (2024). An augmented Lagrangian formulation of the planar elastica in constrained environments . In Proceedings of the conference, 7th IMSD International Conference on Multibody System Dynamics . Madison, Wisconsin, US.
Wechsler, I., Wolf, A., Shanbhag, J., Leyendecker, S., Eskofier, B., Koelewijn, A.,... Miehling, J. (2024). Bridging the sim2real gap. Investigating deviations between experimental motion measurements and musculoskeletal simulation results—a systematic review . Frontiers in Bioengineering and Biotechnology , 12 . https://doi.org/10.3389/fbioe.2024.1386874
2023
Capobianco, G., Harsch, J., & Leyendecker, S. (2023). Lobatto-type variational integrators for mechanical systems with frictional contact . Computer Methods in Applied Mechanics and Engineering , 418 . https://doi.org/10.1016/j.cma.2023.116496
Chen, X., Leyendecker, S., & van den Bedem, H. (2023). SARS-CoV-2 main protease mutation analysis via a kinematic method . Proteins-Structure Function and Bioinformatics , 1-14. https://doi.org/10.1002/prot.26543
Fleischmann, S., Shanbhag, J., Miehling, J., Wartzack, S., Leyendecker, S., Koelewijn, A., & Eskofier, B. (2023). Time vs. Space: Comparing gait cycle normalization methods and their effect on foot placement control .
Heinrich, S., Coppers, B., Liphardt, A.-M., & Leyendecker, S. (2023). Inclusion of optical marker position data in optimal control simulations of a rigid body model of the human hand . In Proceedings of the conference, ECCOMAS - 11th Thematic Conference on Multibody Dynamics . Lisboa, PT.
Heinrich, S., Coppers, B., Liphardt, A.-M., & Leyendecker, S. (2023). On the inclusion of motion capture data in optimal control simulations of the human hand . In Proceedings of the conference, 18th International Symposium on Computer Methods in Biomechanics and Biomedical Engineering . Paris, FR.
Heinrich, S., Coppers, B., Liphardt, A.-M., & Leyendecker, S. (2023). Why and How to Include Data in Biomechanical Optimal Control Simulations . In Proceedings of the conference, Interdisciplinary Handsymposium 2023 . Erlangen, DE.
Hoffmann, R., Schwöbel, C., Kelkel, D., & Leyendecker, S. (2023). Gender differences in cycling motions: On objective functions for urban cycling . In Procc. App. Math. Mech. (PAMM) .
Holz, D., Martonová, D., Schaller, E., Duong, M.T., Alkassar, M., Weyand, M., & Leyendecker, S. (2023). Transmural fibre orientations based on Laplace-Dirichlet-Rule-Based-Methods and their influence on human heart simulations . Journal of Biomechanics . https://doi.org/10.1016/j.jbiomech.2023.111643
Jadhav, D., & Leyendecker, S. (2023). Asynchronous Variational Integrators for Elastodynamics and for a Phase Field Model of Dynamic Fracture . In Proceedings of the conference, 3rd RTG Retreat . Bad Staffelstein, DE.
Jadhav, D., Phansalkar, D., & Leyendecker, S. (2023). Numerical illustration of Γ-convergence for variational integrators . In Proceedings of the conference, 8th FRASCAL seminar . Erlangen, DE.
Jadhav, D., Phansalkar, D., Weinberg, K., Ortiz, M., & Leyendecker, S. (2023). Investigation of different forms of fracture using a spatially adaptive phase-field model . In Proceedings of the conference, 8th GAMM Workshop on Phase-field modeling . ETH Zürich, CH.
Koelewijn, A., Nitschke, M., & Leyendecker, S. (2023). “In the Wild" Movement Analysis of Arbitrary Motions .
Leyendecker, S. (2023). Biomechanical modelling and simulation — Muskuloskeletal, cardiac and protein system. In Proceedings of the invited lecture, Rotary Club . Nuremberg, Sebald, DE.
Leyendecker, S. (2023). Computational models of geometrically exact beams in multibody dynamics and as smart actuators . In Proceedings of the conference, MaGIC 2023 . Øyer, NO.
Leyendecker, S. (2023). Geometric modelling, integration and optimal control of flexible multibody dynamics . In Proceedings of the plenary lecture, ECCOMAS - 11th Thematic Conference on Multibody Dynamics . Lisboa, PT.
Leyendecker, S., Szemenyei, F., Maslovskaya, S., & Ober-Blöbaum, S. (2023). A new Lagrangian approach to control affine systems with a
quadratic Lagrange term . In Proceedings of the conference, Foundations of Computational Mathematics (FoCM) 2023 . Paris, FR.
Lishkova, Y., Ober-Blöbaum, S., & Leyendecker, S. (2023). Multirate discrete mechanics and optimal control for a flexible satellite model .
Lohmayer, M., & Leyendecker, S. (2023). Exergetic Port-Hamiltonian Systems for Multibody Dynamics . In Proceedings of the conference, 4th workshop of the doctoral college "Port-Hamiltonian Systems: Modelling, Numerics, and Control” . Karlsruhe Institute of Technology, Karlsruhe, DE.
Lohmayer, M., Lynch, O., & Leyendecker, S. (2023). Exergetic Port-Hamiltonian Systems (EPHS) - a compositional and thermodynamically consistent modeling language for multiphysical systems . In Proceedings of the conference, ECMI 2023, 22nd Conference on Industrial and Applied Mathematics . Wrocław, PL.
Martonová, D., Holz, D., Duong, M.T., & Leyendecker, S. (2023). Smoothed finite element methods in modelling and simulation of active cardiac contraction . In Proceedings of the conference, 18th International Symposium on Computer Methods in Biomechanics and Biomedical Engineering . Paris, FR.
Martonová, D., Holz, D., Duong, M.T., & Leyendecker, S. (2023). Smoothed finite element methods in simulation of active contraction of myocardial tissue samples . Journal of Biomechanics . https://doi.org/10.1016/j.jbiomech.2023.111691
Martonová, D., Lavaill, M., Forwood, M.R., Robling, A., Cooper, D.M.L., Leyendecker, S., & Pivonka, P. (2023). Effects of PTH glandular and external dosing patterns on bone cell activity using a two-state receptor model—Implications for bone disease progression and treatment . PLoS ONE . https://doi.org/10.1371/journal.pone.0283544
Nitschke, M., Marzilger, R., Leyendecker, S., Eskofier, B., & Koelewijn, A. (2023). Change the direction: 3D optimal control simulation by directly tracking marker and ground reaction force data . PeerJ . https://doi.org/10.7717/peerj.14852
Phansalkar, D., Jadhav, D., Weinberg, K., Ortiz, M., & Leyendecker, S. (2023). Extension of the spatially adaptive phase-field model to various forms of fracture . Forces in Mechanics , 10 . https://doi.org/10.1016/j.finmec.2022.100161
Port Linares, H., Coppers, B., Bayat, S., Elie-Tino, G., Fagni, F., Corte, G.,... Liphardt, A.-M. (2023). Blood-Based Biomarkers of Inflammation and Tissue Remodeling Can Discriminate Between Rheumatoid Arthritis, Psoriasis, and Psoriatic Arthritis and Are Associated with Hand Function .
Sato Martin de Almagro, R., & Leyendecker, S. (2023). Frequency-dependent damping as forcing on multisymplectic integrators . In Proceedings of the conference, ICIAM 2023 -- 10th International Congress on Industrial and Applied Mathematics . Tokyo, JP.
Sato Martin de Almagro, R., & Leyendecker, S. (2023). Variational integrators and frequency-dependent damping .
Scheiterer, E., & Leyendecker, S. (2023). Propagation of epistemic uncertainty though
a multi-layerd geometrically exact beam . In Proceedings of the conference, ICIAM 2023 -- 10th International Congress on Industrial and Applied Mathematics . Tokyo, JP.
Schubert, M., Sato Martin de Almagro, R., Nachbagauer, K., Ober-Blöbaum, S., & Leyendecker, S. (2023). Discrete adjoint method for variational integration of constrained ODEs and its application to optimal control of geometrically exact beam dynamics . Multibody System Dynamics , 1-28. https://doi.org/10.1007/s11044-023-09934-4
Shanbhag, J., Wolf, A., Wechsler, I., Fleischmann, S., Winkler, J., Leyendecker, S.,... Miehling, J. (2023). Methods for integrating postural control into biomechanical human simulations: a systematic review . Journal of neuroEngineering and rehabilitation , 20 (1). https://doi.org/10.1186/s12984-023-01235-3
Stavole, M., & Leyendecker, S. (2023). Endoscopes: from experimental characterisation to modelling . In Proceedings of the conference, Industrial workshop by fleXstructures 2023 . Kaiserslautern, DE.
Stavole, M., Sato Martin de Almagro, R., Brüls, O., & Leyendecker, S. (2023). Augmented Lagrangian contact formulation of the 2D Euler elastica . In Proceedings of the conference, ICIAM 2023 -- 10th International Congress on Industrial and Applied Mathematics . Tokyo, JP.
Stavole, M., Sato Martin de Almagro, R., Capobianco, G., Brüls, O., & Leyendecker, S. (2023). 2D Euler elastica in constrained environments . In Proceedings of the conference, HFSS International Conference on Highly Flexible Slender Structures (THREAD annual meeting) . Rijeka, HR.
Stavole, M., Sato Martin de Almagro, R., Dörlich, V., & Leyendecker, S. (2023). Homogenised stiffness coefficients of unloaded endoscope shafts . In Proceedings of the conference, MaGIC 2023 . Øyer, NO.
Stavole, M., Sato Martin de Almagro, R., Dörlich, V., & Leyendecker, S. (2023). Homogenized stiffness coefficients of unloaded endoscope shafts . In Proceedings of the conference, HFSS International Conference on Highly Flexible Slender Structures (THREAD annual meeting) . Rijeka, HR.
Stavole, M., Sato Martin de Almagro, R., Dörlich, V., & Leyendecker, S. (2023). Homogenized stiffness coefficients of unloaded endoscope shafts . In Proceedings of the conference, ECCOMAS Thematic Conference on Multibody Dynamics . Lisboa, PT.
Wirth, V., Liphardt, A.-M., Coppers, B., Bräunig, J., Heinrich, S., Leyendecker, S.,... Stamminger, M. (2023). Markerless RGB-D Hand Pose Estimation for Activity Monitoring of Musculoskeletal Diseases .
Wirth, V., Liphardt, A.-M., Coppers, B., Bräunig, J., Heinrich, S., Leyendecker, S.,... Stamminger, M. (2023). ShaRPy: Shape Reconstruction and Hand Pose Estimation from RGB-D with Uncertainty . In Proceedings of the IEEE/CVF International Conference on Computer Vision (ICCV) Workshops (pp. 2625-2633). Paris, FR.
2022
Capobianco, G., Huang, D., Sato Martin de Almagro, R., & Leyendecker, S. (2022). Introduction to Numerics (INUMS) .
Chen, X., Leyendecker, S., & van den Bedem, H. (2022). Kinematic Vibrational Entropy Assessment and Analysis of SARS CoV-2 Main Protease . Journal of Chemical Information and Modeling , 62 (11), 2869-2879. https://doi.org/10.1021/acs.jcim.2c00126
Coppers, B., Heinrich, S., Phutane, U., Berisha, D., Tascilar, K., Kleyer, A.,... Liphardt, A.-M. (2022). Feasibility of using optoelectronic measurement of hand movement for characterizing hand function in rheumatoid arthritis .
Coppers, B., Heinrich, S., Phutane, U., Berisha, D., Tascilar, K., Kleyer, A.,... Liphardt, A.-M. (2022). Evaluation of marker-based motion capturing to charactherize basic hand movements in rheumatic patients .
Coppers, B., Phutane, U., Berisha, D., Tascilar, K., Kleyer, A., Simon, D.,... Liphardt, A.-M. (2022). Establishment and evaluation of a sensor-based method to assess hand function in patients with rheumatoid arthritis . In Proceedings of the conference, World Biomechanics Congress 2022 . Taipei (online), TW.
Heinrich, S., & Leyendecker, S. (2022). Analysis of Degenerative Motion Impairments through Integration of Empathokinaesthetic Sensor Data in Biomechanical Human Models . In Proceedings of the conference, EmpkinS GAP IX | Workshop . Erlangen, DE.
Heinrich, S., Phutane, U., Coppers, B., Liphardt, A.-M., & Leyendecker, S. (2022). Towards optimal control grasping simulations with the full hand . In Proceedings of the conference, 9th GACM Colloquium on Computational Mechanics - for Young Scientists from Academia and Industry . Essen, DE.
Heinrich, S., Phutane, U., Penner, J., Coppers, B., Liphardt, A.-M., & Leyendecker, S. (2022). Comparison of different approaches for the personalization of a kinematic hand model . In Proceedings of the conference, World Biomechanics Congress 2022 . Taipei (Online), TW.
Holz, D., Martonová, D., Schaller, E., Duong, M.T., Alkassar, M., & Leyendecker, S. (2022). The influence of the orthotropic tissue in an electromechanical heart model . In Proceedings of the conference, 27th Congress of the European Society of Biomechanics . Porto, PT.
Huang, D., & Leyendecker, S. (2022). Dielectric Elastomer Actuated Multibody System Dynamics and Optimal Control . In Proceedings of the 92nd GAMM Annual Meeting . Aachen, DE.
Huang, D., & Leyendecker, S. (2022). Optimal control of dielectric elastomer actuated multibody dynamical systems . Soft Robotics . https://doi.org/10.1089/soro.2022.0162
Jadhav, D., Phansalkar, D., & Leyendecker, S. (2022). Finite Element Modeling of Osteoporotic Pelvic Ring and Extension of Project P9 into temporal adaptivity . In Proceedings of the conference, 2nd RTG Retreat of FRASCAL . Bad Windsheim, DE.
Kumar, P., Phansalkar, D., Mergheim, J., Leyendecker, S., & Steinmann, P. (2022). Computational Fracture Modeling in Heterogeneous Materials - Recent Advances and Future Challenges . In Proceedings of the conference, WCCM-APCOM 15th World Congress on Computational Mechanics & 8th Asian Pacific Congress on Computational Mechanics . Yokohama (online), JP.
Leyendecker, S. (2022). Structure preserving simulation and optimal control of flexible multibody dynamics . In Proceedings of the invited lecture, School of Mechanical, Medical & Process Engineering,
Queensland University of Technology . Brisbane, AU.
Lohmayer, M., & Leyendecker, S. (2022). EPHS: A Port-Hamiltonian Modelling Language . In Proceedings of the 25th International Symposium on Mathematical Theory of Networks and Systems MTNS 2022 . Bayreuth, DE.
Lohmayer, M., & Leyendecker, S. (2022). EPHS: A Port-Hamiltonian Modelling Language . In Proceedings of the conference, MTNS 2022: 25th International Symposium on Mathematical Theory of Networks and Systems . Bayreuth.
Lohmayer, M., & Leyendecker, S. (2022). Exergetic Port-Hamiltonian Systems: Navier-Stokes-Fourier Fluid . In Proceedings of the conference, TFMST 2022: IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory . Montreal (Online), CA.
Lohmayer, M., & Leyendecker, S. (2022). Exergetic Port-Hamiltonian Systems: Navier-Stokes-Fourier Fluid . In IFAC-PapersOnLine . Montreal, CA.
Martonová, D., Holz, D., Brackenhammer, D., Weyand, M., Leyendecker, S., & Alkassar, M. (2022). Support Pressure Acting on the Epicardial Surface of a Rat Left Ventricle — A Computational Study . Frontiers in Cardiovascular Medicine , 9 . https://doi.org/10.3389/fcvm.2022.850274
Martonová, D., Holz, D., Seufert, J., Duong, M.T., Alkassar, M., & Leyendecker, S. (2022). Comparison of stress and stress–strain approaches for the active contraction in a rat cardiac cycle model . Journal of Biomechanics , 134 . https://doi.org/10.1016/j.jbiomech.2022.110980
Nitschke, M., Marzilger, R., Leyendecker, S., Eskofier, B., & Koelewijn, A. (2022). Optical motion capturing of change of direction motions reconstructed with inverse kinematics and dynamics and optimal control simulation .
Penner, J., & Leyendecker, S. (2022). A discrete mechanics approach for musculoskeletal simulations with muscle wrapping . Multibody System Dynamics . https://doi.org/10.1007/s11044-022-09844-x
Phansalkar, D., Weinberg, K., Ortiz, M., & Leyendecker, S. (2022). A spatially adaptive phase-field model for dynamic fracture . In Proceedings of the conference, ECCOMAS - 8th European Congress on Computational Methods in Applied Sciences and Engineering . Oslo, NO.
Phansalkar, D., Weinberg, K., Ortiz, M., & Leyendecker, S. (2022). A spatially adaptive phase-field model of fracture . Computer Methods in Applied Mechanics and Engineering , 395 . https://doi.org/10.1016/j.cma.2022.114880
Phutane, U., Roller, M., & Leyendecker, S. (2022). Optimal control simulations of two-finger grasps . Mechanism and Machine Theory , 167 , 104508. https://doi.org/10.1016/j.mechmachtheory.2021.104508
Scheiterer, E., Heinrich, S., & Leyendecker, S. (2022). Considering epistemic uncertainty in optical marker based joint angle calculation during human gait . In Proceedings of the conference, WCCM-APCOM 15th World Congress on Computational Mechanics & 8th Asian Pacific Congress on Computational Mechanics . Yokohama, online, JP.
Scheiterer, E., & Leyendecker, S. (2022). Correction to: Fuzzy forward dynamics of distinct gait phases with a prosthetic foot (Computational Mechanics, (2022), 10.1007/s00466-022-02167-w) . Computational Mechanics . https://doi.org/10.1007/s00466-022-02211-9
Scheiterer, E., & Leyendecker, S. (2022). Fuzzy forward dynamics of distinct gait phases with a prosthetic foot . Computational Mechanics . https://doi.org/10.1007/s00466-022-02167-w
Stavole, M., Dörlich, V., Linn, J., Sato Martin de Almagro, R., & Leyendecker, S. (2022). Endoscopes: an experimental characterisation of their constitutive properties . In Proceedings of the conference, ITWM Fraunhofer . Kaiserslautern, DE.
Stavole, M., & Leyendecker, S. (2022). Industrial and mathematical challenges of a medical application . In Proceedings of the conference, Math meets industry 2022 . Trondheim, NO.
Stavole, M., & Leyendecker, S. (2022). Variational modelling and simulation of complex beams and their optimisation . In Proceedings of the conference, THREAD Annual Meeting . Seville, ES.
Stavole, M., Leyendecker, S., & Sato Martin de Almagro, R. (2022). Homogenization of the constitutive properties of composite beam cross-sections . In Proceedings of the conference, MaGIC 2022: Manifolds and Geometric Integration Colloquia, . Ilsetra, NO.
Stavole, M., Sato Martin de Almagro, R., & Leyendecker, S. (2022). Variational modelling and simulation of complex beams and their optimisation. In Proceedings of the conference, THREAD Annual Meeting . Liége, BE.
Stavole, M., Sato Martin de Almagro, R., Lohk, M., & Leyendecker, S. (2022). Homogenization of the constitutive properties of composite beam cross-sections . In Proceedings of the conference, ECCOMAS - 8th European Congress on Computational Methods in Applied Sciences and Engineering . Oslo, NO.
Stavole, M., Sato Martin de Almagro, R., Lohk, M., & Leyendecker, S. (2022). Homogenization of the constitutive properties of composite beam cross-sections . In Computational Solid Mechanics . Oslo, NO.
2021
Chen, X., Leyendecker, S., & van den Bedem, H. (2021). SARS Covid-19 main protease mutation analysis by the kinematic method . In Proceedings of the conference, ECCOMAS Thematic Conference on Multibody Dynamics . Budapest, HU.
Chen, X., Leyendecker, S., & van den Bedem, H. (2021). Vibrational entropy calculation of proteins via kinematic flexibility analysis . In Proceedings of the conference, GAMM Annual Meeting . Kassel, DE.
Holz, D., Duong, M.T., Martonová, D., Alkassar, M., & Leyendecker, S. (2021). A Transmural Path Model Improves the Definition of the Orthotropic Tissue Structure in Heart Simulations . Journal of Biomechanical Engineering-Transactions of the Asme , 144 (3), 031002 (10 pages). https://doi.org/10.1115/1.4052219
Holz, D., Duong, M.T., Martonová, D., Alkassar, M., & Leyendecker, S. (2021). Discontinuous Galerkin-based approach to define orthotropic tissue structure in computational heart models . In Proceedings of the conference, International Conference on Computational Biomechanics . Paris, FR.
Huang, D., & Leyendecker, S. (2021). An electromechanically coupled beam model for dielectric elastomer actuators . Computational Mechanics . https://doi.org/10.1007/s00466-021-02115-0
Huang, D., & Leyendecker, S. (2021). Modelling of dielectric elastomer actuated flexible multibody dynamics . In Proceedings of the conference, ECCOMAS Thematic Conference on Multibody Dynamics . Budapest, HU.
Huang, D., & Leyendecker, S. (2021). Modelling of Electromechanical Coupling in Geometrically Exact Beam Dynamics . In Proceedings of the 14th WCCM-ECCOMAS Congress 2020 . online: Scipedia.
Leitz, T., Sato Martin de Almagro, R., & Leyendecker, S. (2021). Galerkin variational integration of the geometrically exact beam via unit dual quaternion interpolation . In Proceedings of the conference, GAMM Annual Meeting . Kassel, DE.
Leitz, T., Sato Martin de Almagro, R., & Leyendecker, S. (2021). Multisymplectic Galerkin Lie group variational integrators for geometrically exact beam dynamics based on unit dual quaternion interpolation — no shear locking . Computer Methods in Applied Mechanics and Engineering , 374 , 113475. https://doi.org/10.1016/j.cma.2020.113475
Leyendecker, S., Penner, J., & Phutane, U. (2021). Geometric numerical integration in simulation and optimal control of biomechanical motion . In Proceedings of the Invited lecture, GAMM Annual Meeting . Kassel, DE.
Lishkova, Y., Ober-Blöbaum, S., Cannon, M., & Leyendecker, S. (2021). A multirate variational approach to simulation and optimal control for flexible spacecraft . In 2020 AAS/AIAA Astrodynamics Specialist Conference (pp. 395–410).
Lohmayer, M., Kotyczka, P., & Leyendecker, S. (2021). Exergetic Port-Hamiltonian Systems: Modelling Basics . Mathematical and Computer Modelling of Dynamical Systems , 27 , 489-521. https://doi.org/10.1080/13873954.2021.1979592
Lohmayer, M., Kotyczka, P., & Leyendecker, S. (2021). GENERIC and Port-Hamiltonian structures for complex systems . In Proceedings of the conference, Joint European Thermodynamics Conference . Prague, CZ.
Martonová, D., Alkassar, M., Seufert, J., Holz, D., Duong, M.T., Reischl, B.,... Leyendecker, S. (2021). Characterisation of passive mechanical properties in healthy and infarcted rat myocardium . In Proceedings of the conference, GAMM Annual Meeting . Kassel, DE.
Martonová, D., Alkassar, M., Seufert, J., Holz, D., Duong, M.T., Reischl, B.,... Leyendecker, S. (2021). Influence of passive mechanical properties in healthy and infarcted rat myocardium on the cardiac cycle . In Proc. Appl. Math. Mech. (PAMM) . Kassel.
Martonová, D., Alkassar, M., Seufert, J., Holz, D., Duong, M.T., Reischl, B.,... Leyendecker, S. (2021). Passive mechanical properties in healthy and infarcted rat left ventricle characterised via a mixture model . Journal of the Mechanical Behavior of Biomedical Materials , 119 . https://doi.org/10.1016/j.jmbbm.2021.104430
Martonová, D., Holz, D., Duong, M.T., & Leyendecker, S. (2021). Towards the simulation of active cardiac mechanics using a smoothed finite element method . Journal of Biomechanics , 115 , 110153. https://doi.org/10.1016/j.jbiomech.2020.110153
Michaelis, J., Reiher, I., Heinrich, S., Coppers, B., Schett, G., Kleyer, A.,... Liphardt, A.-M. (2021). CyberGlove for clinical use?
Phansalkar, D., Weinberg, K., Ortiz, M., & Leyendecker, S. (2021). Dynamic simulation of a phase-field fracture with the Newmark method . In Proceedings of the conference, 6th Research Training Group GRK 2423 FRASCAL . Neuhof an der Zenn, DE.
Phansalkar, D., Weinberg, K., Ortiz, M., & Leyendecker, S. (2021). Space-dependent transition zone parameter for a phase-field model of brittle fractures . In Proceedings of the conference, GAMM Annual Meeting . Kassel.
Phansalkar, D., Weinberg, K., Ortiz, M., & Leyendecker, S. (2021). Uniform and adaptive in phase-field models for brittle fractures. In Proceedings of the conference, 5th Research Training Group GRK 2423 FRASCAL . online.
Phutane, U., Liphardt, A.-M., Bräunig, J., Penner, J., Klebl, M., Vossiek, M.,... Leyendecker, S. (2021). Evaluation of Optical and Radar Based Motion Capturing Technologies for Characterizing Hand Movement in Rheumatoid Arthritis — A Pilot Study . Sensors , 21 (4). https://doi.org/10.3390/s21041208
Roller, M., Björkenstam, S., Dörlich, V., Harant, M., Obentheuer, M., Leyendecker, S., & Linn, J. (2021). Optimal control of a human driver in highly dynamic driving scenarios . In Proceedings of the conference, ECCOMAS Thematic Conference on Multibody Dynamics . Budapest, HU.
Sato Martin de Almagro, R., Leitz, T., & Leyendecker, S. (2021). Galerkin variational integration of the geometrically exact beam via unit dual quaternion interpolation .
Scheiterer, E., & Leyendecker, S. (2021). Dynamic analysis of prosthetic structures with polymorphic uncertainty . In Proceedings of the conference, SPP1886 annual meeting 2021 .
Scheiterer, E., & Leyendecker, S. (2021). Forward dynamics simulation of a human leg model with a geometrically exact beam model as prosthetic foot . In Proc. Appl. Math. Mech. (PAMM) (pp. e202100096). Kassel, DE.
Scheiterer, E., & Leyendecker, S. (2021). Fuzzy forward dynamics of a human leg with a prosthetic foot . In Proceedings of the conference, GAMM Annual Meeting . Kassel, DE.
Scheiterer, E., & Leyendecker, S. (2021). Predeformed geometrically exact beam model for a dynamic-response prosthesis . In Proc. Appl. Math. Mech. (PAMM) .
Stavole, M., & Leyendecker, S. (2021). Nonlinear Cosserat Rod Statics Using Homogenized Constitutive Properties of Multi-Layered Cross-Sections . In Proceedings of the conference, ECCOMAS Thematic Conference on Multibody Dynamics . Budapest, HU.
Stavole, M., & Leyendecker, S. (2021). Variational modelling and simulation of complex beams and their optimization . In Proceedings of the conference, THREAD Annual Meeting . Seville, ES.
Stavole, M., Wenger, T., & Leyendecker, S. (2021). Variational formulation and simulation of the 1D wave equation and geometrically exact beam dynamics . In Proceedings of the conference, MaGIC 2021: Workshop on Manifolds and Geometric integration . Bergen and Trondheim, NO.
2020
Chen, X., Leyendecker, S., & van den Bedem, H. (2020). Kinematic Flexibility Analysis of Active and Inactive Kinase Conformations . In Proc. Appl. Math. Mech. (PAMM) .
Huang, D., & Leyendecker, S. (2020). On computational aspects of electromechanical coupling in geometrically exact beam dynamics . In Proceedings of the Online symposium on flexible multibody system dynamics . Zoom.
Leyendecker, S. (2020). Geometric numerical integration in simulation and optimal control — and other topics . In Proceedings of the Invited Lecture at Annual Meeting 2020 — Joint Training on Numerical Modelling of Highly Flexible Structures THREAD . Kaiserslautern (Microsoft Teams), DE.
Lohmayer, M., & Leyendecker, S. (2020). Exergetic Port-Hamiltonian Systems — a tutorial . In Proceedings of the Student Compact Course -- Variational Methods for Fluids and Solids . Berlin, DE.
Penner, J., & Leyendecker, S. (2020). Defining Kinematic Chains for Musculoskeletal Optimal Control Simulations via Automatic Differentiation . In Proceedings of the 6th International Digital Human Modeling Symposium (pp. 82 - 90). Skövde, SE.
Phansalkar, D., & Leyendecker, S. (2020). Adaptivity in the Dynamic Simulation of Fracture Mechanics .
Phansalkar, D., & Leyendecker, S. (2020). On numerical challenges with a phase-field model for a mode I fracture . In Proceedings of the 7th GAMM workshop on phase-field modeling . Kaiserslautern, DE.
Phutane, U., Roller, M., Boebel, A., & Leyendecker, S. (2020). Optimal Control of Grasping Problem Using Postural Synergies . In Proceedings of the 6th International Digital Human Modeling Symposium (pp. 206-213). Skövde, SE.
Sato Martín de Almagro, R.T., & Leyendecker, S. (2020). Fundamentals of beam theory and flexible multibody dynamics . In Proceedings of the Network wide training — Joint Training on Numerical Modelling of Highly Flexible Structures THREAD . Erlangen (ZOOM), DE.
Scheiterer, E., & Leyendecker, S. (2020). Dynamic analysis of prosthetic structures with polymorphic uncertainty . In Proceedings of the conference, SPP1886 phase 2 kickoff meeting .
Scheiterer, E., & Leyendecker, S. (2020). Dynamic analysis of prosthetic structures with polymorphic uncertainty . In Proceedings of the conference, SPP1886 Annual Meeting 2020 .
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The main direction of research is computational mechanics and optimal control of dynamical systems. Efficient technologies for structural mechanics and optimal control simulations are developed, facing contemporary life science and engineering questions. The problems under investigation consider flexible multibody dynamics, coupled problems, biomechanics, and robot dynamics as well as the optimization and optimal control of their dynamics including non-smooth or mixed-integer variants and multiobjective optimization. Furthermore, (human) motion is captured and investigated in our motion analysis laboratory and the measured data in analyzed directly and in simulations.
Research projects
Symplectic discretizations for optimal control problems in mechanics
(Third Party Funds Single)
Funding source: DFG-Einzelförderung / Sachbeihilfe (EIN-SBH)
Simulation of optimal control problems via geometric methods
(Own Funds)
URL: https://www.ltd.tf.fau.de
Analysis of Degenerative Motion Impairments through Integration of Empathokinaesthetic Sensor Data in Biomechanical Human Models (C04)
(Third Party Funds Group – Sub project)
Term: 1. July 2021 - 30. June 2025
Funding source: DFG / Sonderforschungsbereich (SFB)
URL: https://www.empkins.de/
P14 – Passage from Atomistic-to-Continuum for Quasistatic and Dynamic Crack Growth
(Third Party Funds Group – Sub project)
Term: 1. April 2019 - 31. December 2027
Funding source: DFG / Graduiertenkolleg (GRK)
We extend the rigorous identification of Griffith models from atomistic systems governed by Lennard-Jones interactions [FrSc15a] to general lattice systems including long-range and multi-body interactions. Here, we will apply techniques from the paper [BaBrCi20] and complement their analysis by showing the Cauchy-Born rule in the setting of small displacements. Applying the Gamma-convergence approach to composite materials, we also aim at studying the influence of different mesoscopic on the macroscopic fracture properties. This connects our perspective to projects P8 and P11. Our main goal is then to establish existence of an atomistic continuous–time evolution and relate it rigorously to continuum quasi-static evolutions [FrLa03, FrSo18] by means of evolutionary Gamma-convergence for rate-independent systems. Here, a key issue consists in verifying stability of unilateral minimisers along the irreversible fracture process.
Teilprojekt P2 - Atomistics of Crack-Heterogeneity Interactions
(Third Party Funds Group – Sub project)
Term: 2. January 2019 - 31. December 2027
Funding source: DFG / Graduiertenkolleg (GRK)
URL: https://www.frascal.research.fau.eu/home/research/p-2-atomistics-of-crack-heterogeneity-interactions/
The fracture of a brittle solid is crucially determined by material heterogeneities directly at the crack front where the stress field diverges and the usual homogenization strategies are no longer applicable. While this problem has attracted significant interest, currently no consistent theory that relates local changes in properties to the local fracture behavior and macroscopic failure criteria exists. In contrast to the long-range elastic interactions, the direct interaction of the crack front with heterogeneities cannot be described by continuum methods but requires an atomistic treatment.
The aim of this project is to study the influence of various types of heterogeneities on the energy dissipation mechanisms in different classes of materials.
Teilprojekt P9 - Adaptive Dynamic Fracture Simulation
(Third Party Funds Group – Sub project)
Term: 2. January 2019 - 31. December 2027
Funding source: DFG / Graduiertenkolleg (GRK)
URL: https://www.frascal.research.fau.eu/home/research/p-9-adaptive-dynamic-fracture-simulation/
In the simulation of continuum mechanical problems of materials with heterogeneities caused e.g. by a grained structure on a smaller scale compared to the overall dimension of the system, or by the propagation of discontinuities like cracks, the spatial meshes for finite element simulations are typically consisting of coarse elements to save computational costs in regions where less deformation is expected, as well as finely discretised areas to be able to resolve discontinuities and small scale phenomena in an accurate way. For transient problems, spatial mesh adaption has been the topic of intensive research and many strategies are available, which refine or coarsen the spatial mesh according to different criteria. However, the standard is to use the same time step for all degrees of freedom and adaptive time step controls are usually applied to the complete system.
The aim of this project is to investigate the kinetics of heterogeneous, e.g. cracked material, in several steps by developing suitable combinations of spatial and temporal mesh adaption strategies.
Fracture across Scales: Integrating Mechanics, Materials Science, Mathematics, Chemistry, and Physics (FRASCAL)
(Third Party Funds Group – Overall project)
Funding source: DFG / Graduiertenkolleg (GRK)
URL: https://www.frascal.research.fau.eu/
The RTG aims to improve understanding of fracture in brittle heterogeneous materials by developing simulation methods able to capture the multiscale nature of failure. With i) its rooting in different scientific disciplines, ii) its focus on the influence of heterogeneities on fracture at different length and time scales as well as iii) its integration of highly specialised approaches into a “holistic” concept, the RTG addresses a truly challenging cross-sectional topic in mechanics of materials. Although various simulation approaches describing fracture exist for particular types of materials and specific time and length scales, an integrated and overarching approach that is able to capture fracture processes in different – and in particular heterogeneous – materials at various length and time resolutions is still lacking. Thus, we propose an RTG consisting of interdisciplinary experts from mechanics, materials science, mathematics, chemistry, and physics that will develop the necessary methodology to investigate the mechanisms underlying brittle fracture and how they are influenced by heterogeneities in various materials. The insights obtained together with the methodological framework will allow tailoring and optimising materials against fracture. The RTG will cover a representative spectrum of brittle materials and their composites, together with granular and porous materials. We will study these at length and time scales relevant to science and engineering, ranging from sub-atomic via atomic and molecular over mesoscale to macroscopic dimensions. Our modelling approaches and simulation tools are based on concepts from quantum mechanics, molecular mechanics, mesoscopic approaches, and continuum mechanics. These will be integrated into an overall framework which will represent an important step towards a virtual laboratory eventually complementing and minimising extensive and expensive experimental testing of materials and components. Within the RTG, young researchers under the supervision of experienced PAs will perform cutting-edge research on challenging scientific aspects of fracture. The RTG will foster synergies in research and advanced education and is intended to become a key element in FAU‘s interdisciplinary research areas “New Materials and Processes” and “Modelling–Simulation–Optimisation”.
2025
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2021
2020
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