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Institute of Applied Dynamics

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theses

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    • multibody dynamics and robotics
    • biomechanics
    • motion capturing
    • structure preserving simulation and optimal control
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theses

2016

  • Koch M., Leyendecker S.:
    Structure preserving optimal control of a three-dimensional upright gait
    In: Multibody Dynamics, Springer International Publishing, 2016, p. 115-146 (Computational Methods in Applied Sciences)
    ISBN: 978-3-319-30612-4

    DOI: 10.1007/978-3-319-30614-8_6
  • Ringkamp M., Ober-Blöbaum S., Leyendecker S.:
    On the time transformation of mixed integer optimal control problems using a consistent fixed integer control function
    In: Mathematical Programming, Springer Berlin Heidelberg, 2016, p. 1-31
    DOI: 10.1007/s10107-016-1023-5

2014

  • Leitz T., Ober-Blöbaum S., Leyendecker S.:
    Variational Lie group formulation of geometrically exact beam dynamics: synchronous and asynchronous integration
    In: Computational Methods in Applied Sciences, Berlin: Springer, 2014, p. 175-203
    DOI: 10.1007/978-3-319-07260-9_8
  • Ringkamp M., Dellnitz M.:
    Hierarchical Multiobjective Optimization
    In: Develop Intelligent Technical Systems of the Future, Berlin Heidelberg: Springer, 2014, p. 183-350 (Lecture Notes in Mechanical Engineering)
    ISBN: 978-3-642-45435-6

    DOI: 10.1007/978-3-642-45435-6_5

2013

  • Leyendecker S., Ober-Blöbaum S.:
    A Variational Approach to Multirate Integration for Constrained Systems
    In: Samin JC, Fisette P (ed.): Multibody Dynamics, Netherland: Springer, 2013, p. 97 - 121 (Computational Methods and Applications, Vol.28)
    ISBN: 978-94-007-5403-4

    DOI: 10.1007/978-94-007-5404-1_5
  • Leyendecker S., Pekarek D., Marsden JE.:
    Structure Preserving Optimal Control of Three-Dimensional Compass Gait
    In: Mombaur K, Berns K (ed.): Modeling, Simulation and Optimization of Bipedal Walking, Berlin Heidelberg: Springer, 2013, p. 99-116 (Cognitive Systems Monographs, Vol.18)
    DOI: 10.1007/978-3-642-36368-9_8

2025

  • Celledoni E., Çokaj E., Leone A., Leyendecker S., Murari D., Owren B., Sato Martin de Almagro R., Stavole M.:
    Neural networks for the approximation of Euler’s elastica
    In: Computer Methods in Applied Mechanics and Engineering 435 (2025), Article No.: 117584
    ISSN: 0045-7825
    DOI: 10.1016/j.cma.2024.117584
  • Coppers B., Heinrich S., Tascilar K., Phutane U., Kleyer A., Simon D., Bräunig J., Penner J., Vossiek M., Schönau V., Bayat S., Schett G., Leyendecker S., Liphardt AM.:
    Sensor-assessed grasping time as a biomarker of functional impairment in rheumatoid arthritis
    In: Scientific Reports 15 (2025), Article No.: 6018
    ISSN: 2045-2322
    DOI: 10.1038/s41598-025-90295-7
  • Jadhav D., Phansalkar D., Weinberg K., Ortiz M., Leyendecker S.:
    A New Approach to Asynchronous Variational Integrators for a Phase Field Model of Dynamic Fracture
    In: International Journal for Numerical Methods in Engineering (2025)
    ISSN: 0029-5981
    DOI: 10.1002/nme.70025
  • Lavaill M., Chen X., Heinrich S., Pivonka P., Leyendecker S.:
    Muscle path predictions using a discrete geodesic Euler–Lagrange model in constrained optimisation: comparison with OpenSim and experimental data
    In: Multibody System Dynamics (2025)
    ISSN: 1384-5640
    DOI: 10.1007/s11044-025-10055-3
  • Port H., Coppers B., Tragl S., Manger E., Niemiec LM., Bayat S., Simon D., Fagni F., Corte G., Bay-Jensen AC., Tascilar K., Hueber A., Schmidt K., Schönau V., Sticherling M., Heinrich S., Leyendecker S., Bohr D., Schett G., Kleyer A., Nielsen SH., Liphardt AM.:
    Serum extracellular matrix biomarkers in rheumatoid arthritis, psoriatic arthritis and psoriasis and their association with hand function
    In: Scientific Reports 15 (2025), Article No.: 13656
    ISSN: 2045-2322
    DOI: 10.1038/s41598-025-98395-0

2024

  • Blazek V., Loy N., Jukic E., Coppers B., Fleischmann ME., Hübner J., Iqbal M., Heinrich S., Scheiterer E., Leyendecker S., Greenfield J., Labinski H., Raimondo MG., Ramming A., Schönau V., Schett G., Knitza J., Liphardt AM.:
    AB0930 Towards Objective Measurement Of Spinal Mobility In Axial Spondyloarthritis – Benchmarking An Inertial Measurement Unit System With An Optical Measurement System
    In: Annals of the Rheumatic Diseases (2024), p. 1774-1775
    ISSN: 0003-4967
    DOI: 10.1136/annrheumdis-2024-eular.5778
  • Breuling J., Capobianco G., Eugster SR., Leine RI.:
    A nonsmooth RATTLE algorithm for mechanical systems with frictional unilateral constraints
    In: Nonlinear Analysis: Hybrid Systems 52 (2024), p. 101469
    ISSN: 1751-570X
    DOI: 10.1016/j.nahs.2024.101469
  • Bräunig J., Heinrich S., Coppers B., Kammel C., Wirth V., Stamminger M., Leyendecker S., Liphardt AM., Ullmann I., Vossiek M.:
    A Radar-Based Concept for Simultaneous High-Resolution Imaging and Pixel-Wise Velocity Analysis for Tracking Human Motion
    In: IEEE Journal of Microwaves 4 (2024), p. 639-652
    ISSN: 2692-8388
    DOI: 10.1109/JMW.2024.3453570
  • Chen X., Leyendecker S.:
    Kinematic analysis of kinases and their oncogenic mutations – Kinases and their mutation kinematic analysis
    In: Molecular Informatics 43 (2024)
    ISSN: 1868-1743
    DOI: 10.1002/minf.202300250
  • Coppers B., Heinrich S., Bayat S., Tascilar K., Kleyer A., Simon D., Minopoulou I., Corte G., Fagni F., Schönau V., Bohr D., Leyendecker S., Schett G., Liphardt AM.:
    AB0208 Reduced Hand Function Indicates Higher Disease Activity In Patients With Rheumatoid And Psoriatic Arthritis
    In: Annals of the Rheumatic Diseases (2024), p. 1342.1-1342
    ISSN: 0003-4967
    DOI: 10.1136/annrheumdis-2024-eular.1112
  • Fleischmann S., Dietz S., Shanbhag J., Wünsch A., Nitschke M., Miehling J., Wartzack S., Leyendecker S., Eskofier B., Koelewijn A.:
    Exploring Dataset Bias and Scaling Techniques in Multi-Source Gait Biomechanics: An Explainable Machine Learning Approach
    In: ACM Transactions on Intelligent Systems and Technology 20 (2024), Article No.: 20
    ISSN: 2157-6904
    DOI: 10.1145/3702646
  • Heinrich S., Michaelis J., Reiher I., Coppers B., Lohmayer M., Fleischmann ME., Kleyer A., Schett G., De Craemer AS., Elewaut D., Leyendecker S., Liphardt AM.:
    Comparison and Improvement of CyberGlove III calibration methods
    In: IEEE Sensors 24 (2024)
    ISSN: 2168-9229
    DOI: 10.1109/JSEN.2024.3376606
  • Leyendecker S., Maslovskaya S., Ober-Blöbaum S., Sato Martin de Almagro R., Szemenyei F.:
    A new Lagrangian approach to control affine systems with a quadratic Lagrange term
    In: Journal of Computational Dynamics 11 (2024), p. 336-353
    ISSN: 2158-2491
    DOI: 10.3934/jcd.2024017
  • Lohmayer M., Capobianco G., Leyendecker S.:
    Exergetic port-Hamiltonian systems for multibody dynamics
    In: Multibody System Dynamics (2024)
    ISSN: 1384-5640
    DOI: 10.1007/s11044-024-10038-w
  • Loy N., Blazek V., Jukic E., Fleischmann ME., Coppers B., Hübner J., Iqbal M., Heinrich S., Scheiterer E., Leyendecker S., Greenfield J., Labinski H., Raimondo MG., Ramming A., Schönau V., Schett G., Knitza J., Liphardt AM.:
    POS0494 Fear Of Movement Affects Range Of Motion During Repeated Basmi Exercises Assessed By State-Of-The-Art Motion Capture Techniques
    In: Annals of the Rheumatic Diseases (2024), p. 936.3-937
    ISSN: 0003-4967
    DOI: 10.1136/annrheumdis-2024-eular.5298
  • Martonová D., Peirlinck M., Linka K., Holzapfel GA., Leyendecker S., Kuhl E.:
    Automated model discovery for human cardiac tissue: Discovering the best model and parameters
    In: Computer Methods in Applied Mechanics and Engineering 428 (2024), Article No.: 117078
    ISSN: 0045-7825
    DOI: 10.1016/j.cma.2024.117078
  • Nitschke M., Dorschky E., Leyendecker S., Eskofier B., Koelewijn A.:
    Estimating 3D kinematics and kinetics from virtual inertial sensor data through musculoskeletal movement simulations
    In: Frontiers in Bioengineering and Biotechnology 12 (2024)
    ISSN: 2296-4185
    DOI: 10.3389/fbioe.2024.1285845
  • Scheiterer E., Heinrich S., Liphardt AM., Leyendecker S.:
    Marker position uncertainty in joint angle analysis for normal human gait — A new error-modelling approach
    In: Biomedical Signal Processing and Control 95 (2024), Article No.: 106474
    ISSN: 1746-8094
    DOI: 10.1016/j.bspc.2024.106474
  • Wechsler I., Wolf A., Shanbhag J., Leyendecker S., Eskofier B., Koelewijn A., Wartzack S., Miehling J.:
    Bridging the sim2real gap. Investigating deviations between experimental motion measurements and musculoskeletal simulation results—a systematic review
    In: Frontiers in Bioengineering and Biotechnology 12 (2024)
    ISSN: 2296-4185
    DOI: 10.3389/fbioe.2024.1386874
    URL: https://www.frontiersin.org/articles/10.3389/fbioe.2024.1386874

2023

  • Capobianco G., Harsch J., Leyendecker S.:
    Lobatto-type variational integrators for mechanical systems with frictional contact
    In: Computer Methods in Applied Mechanics and Engineering 418 (2023), Article No.: 116496
    ISSN: 0045-7825
    DOI: 10.1016/j.cma.2023.116496
  • Chen X., Leyendecker S., van den Bedem H.:
    SARS-CoV-2 main protease mutation analysis via a kinematic method
    In: Proteins-Structure Function and Bioinformatics (2023), p. 1-14
    ISSN: 0887-3585
    DOI: 10.1002/prot.26543
  • Holz D., Martonová D., Schaller E., Duong MT., Alkassar M., Weyand M., Leyendecker S.:
    Transmural fibre orientations based on Laplace-Dirichlet-Rule-Based-Methods and their influence on human heart simulations
    In: Journal of Biomechanics (2023), Article No.: 111643
    ISSN: 0021-9290
    DOI: 10.1016/j.jbiomech.2023.111643
  • Martonová D., Holz D., Duong MT., Leyendecker S.:
    Smoothed finite element methods in simulation of active contraction of myocardial tissue samples
    In: Journal of Biomechanics (2023)
    ISSN: 0021-9290
    DOI: 10.1016/j.jbiomech.2023.111691
  • Martonová D., Lavaill M., Forwood MR., Robling A., Cooper DML., Leyendecker S., Pivonka P.:
    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
    In: PLoS ONE (2023)
    ISSN: 1932-6203
    DOI: 10.1371/journal.pone.0283544
  • Nitschke M., Marzilger R., Leyendecker S., Eskofier B., Koelewijn A.:
    Change the direction: 3D optimal control simulation by directly tracking marker and ground reaction force data
    In: PeerJ (2023)
    ISSN: 2167-8359
    DOI: 10.7717/peerj.14852
    URL: https://peerj.com/articles/14852/
  • Phansalkar D., Jadhav D., Weinberg K., Ortiz M., Leyendecker S.:
    Extension of the spatially adaptive phase-field model to various forms of fracture
    In: Forces in Mechanics 10 (2023), Article No.: 100161
    ISSN: 2666-3597
    DOI: 10.1016/j.finmec.2022.100161
  • Sato Martin de Almagro R.:
    High-order integrators for Lagrangian systems on homogeneous spaces via nonholonomic mechanics
    In: Journal of Computational and Applied Mathematics 421 (2023), Article No.: 114837
    ISSN: 0377-0427
    DOI: 10.1016/j.cam.2022.114837
  • Schneider C., Szemenyei F.:
    Besov regularity of inhomogeneous parabolic PDEs
    In: Partial Differential Equations and Applications 4 (2023), Article No.: 43
    ISSN: 2662-2963
    DOI: 10.1007/s42985-023-00262-y
  • Schubert M., Sato Martin de Almagro R., Nachbagauer K., Ober-Blöbaum S., Leyendecker S.:
    Discrete adjoint method for variational integration of constrained ODEs and its application to optimal control of geometrically exact beam dynamics
    In: Multibody System Dynamics (2023), p. 1-28
    ISSN: 1384-5640
    DOI: 10.1007/s11044-023-09934-4
  • Shanbhag J., Wolf A., Wechsler I., Fleischmann S., Winkler J., Leyendecker S., Eskofier B., Koelewijn A., Wartzack S., Miehling J.:
    Methods for integrating postural control into biomechanical human simulations: a systematic review
    In: Journal of neuroEngineering and rehabilitation 20 (2023), Article No.: 111
    ISSN: 1743-0003
    DOI: 10.1186/s12984-023-01235-3

2022

  • Chen X., Leyendecker S., van den Bedem H.:
    Kinematic Vibrational Entropy Assessment and Analysis of SARS CoV-2 Main Protease
    In: Journal of Chemical Information and Modeling 62 (2022), p. 2869-2879
    ISSN: 1549-9596
    DOI: 10.1021/acs.jcim.2c00126
  • Huang D., Leyendecker S.:
    Optimal control of dielectric elastomer actuated multibody dynamical systems
    In: Soft Robotics (2022)
    ISSN: 2169-5172
    DOI: 10.1089/soro.2022.0162
  • Kumar S., Gosselet P., Huang D., Weissenfels C., Wriggers P.:
    Parallel multiphysics simulation for the stabilized Optimal Transportation Meshfree (OTM) method
    In: Journal of Computational Science 62 (2022)
    ISSN: 1877-7503
    DOI: 10.1016/j.jocs.2022.101739
  • Martonová D., Holz D., Brackenhammer D., Weyand M., Leyendecker S., Alkassar M.:
    Support Pressure Acting on the Epicardial Surface of a Rat Left Ventricle — A Computational Study
    In: Frontiers in Cardiovascular Medicine 9 (2022)
    ISSN: 2297-055X
    DOI: 10.3389/fcvm.2022.850274
  • Martonová D., Holz D., Seufert J., Duong MT., Alkassar M., Leyendecker S.:
    Comparison of stress and stress–strain approaches for the active contraction in a rat cardiac cycle model
    In: Journal of Biomechanics 134 (2022), Article No.: 110980
    ISSN: 0021-9290
    DOI: 10.1016/j.jbiomech.2022.110980
  • Penner J., Leyendecker S.:
    A discrete mechanics approach for musculoskeletal simulations with muscle wrapping
    In: Multibody System Dynamics (2022)
    ISSN: 1384-5640
    DOI: 10.1007/s11044-022-09844-x
  • Phansalkar D., Weinberg K., Ortiz M., Leyendecker S.:
    A spatially adaptive phase-field model of fracture
    In: Computer Methods in Applied Mechanics and Engineering 395 (2022)
    ISSN: 0045-7825
    DOI: 10.1016/j.cma.2022.114880
  • Phutane U., Roller M., Leyendecker S.:
    Optimal control simulations of two-finger grasps
    In: Mechanism and Machine Theory 167 (2022), p. 104508
    ISSN: 0094-114X
    DOI: 10.1016/j.mechmachtheory.2021.104508
  • Scheiterer E., Leyendecker S.:
    Correction to: Fuzzy forward dynamics of distinct gait phases with a prosthetic foot (Computational Mechanics, (2022), 10.1007/s00466-022-02167-w)
    In: Computational Mechanics (2022)
    ISSN: 0178-7675
    DOI: 10.1007/s00466-022-02211-9
  • Scheiterer E., Leyendecker S.:
    Fuzzy forward dynamics of distinct gait phases with a prosthetic foot
    In: Computational Mechanics (2022)
    ISSN: 0178-7675
    DOI: 10.1007/s00466-022-02167-w

2021

  • Holz D., Duong MT., Martonová D., Alkassar M., Leyendecker S.:
    A Transmural Path Model Improves the Definition of the Orthotropic Tissue Structure in Heart Simulations
    In: Journal of Biomechanical Engineering-Transactions of the Asme 144 (2021), p. 031002 (10 pages)
    ISSN: 0148-0731
    DOI: 10.1115/1.4052219
  • Huang D., Leyendecker S.:
    An electromechanically coupled beam model for dielectric elastomer actuators
    In: Computational Mechanics (2021)
    ISSN: 0178-7675
    DOI: 10.1007/s00466-021-02115-0
  • Leitz T., Sato Martin de Almagro R., Leyendecker S.:
    Multisymplectic Galerkin Lie group variational integrators for geometrically exact beam dynamics based on unit dual quaternion interpolation — no shear locking
    In: Computer Methods in Applied Mechanics and Engineering 374 (2021), p. 113475
    ISSN: 0045-7825
    DOI: 10.1016/j.cma.2020.113475
    URL: https://www.sciencedirect.com/science/article/pii/S0045782520306605
  • Lohmayer M., Kotyczka P., Leyendecker S.:
    Exergetic Port-Hamiltonian Systems: Modelling Basics
    In: Mathematical and Computer Modelling of Dynamical Systems 27 (2021), p. 489-521
    ISSN: 1387-3954
    DOI: 10.1080/13873954.2021.1979592
  • Martonová D., Alkassar M., Seufert J., Holz D., Duong MT., Reischl B., Friedrich O., Leyendecker S.:
    Passive mechanical properties in healthy and infarcted rat left ventricle characterised via a mixture model
    In: Journal of the Mechanical Behavior of Biomedical Materials 119 (2021), Article No.: 104430
    ISSN: 1751-6161
    DOI: 10.1016/j.jmbbm.2021.104430
  • Martonová D., Holz D., Duong MT., Leyendecker S.:
    Towards the simulation of active cardiac mechanics using a smoothed finite element method
    In: Journal of Biomechanics 115 (2021), p. 110153
    ISSN: 0021-9290
    DOI: 10.1016/j.jbiomech.2020.110153
  • Phutane U., Liphardt AM., Bräunig J., Penner J., Klebl M., Vossiek M., Kleyer A., Schett G., Leyendecker S.:
    Evaluation of Optical and Radar Based Motion Capturing Technologies for Characterizing Hand Movement in Rheumatoid Arthritis — A Pilot Study
    In: Sensors 21 (2021), Article No.: 1208
    ISSN: 1424-8220
    DOI: 10.3390/s21041208
  • Sato Martin de Almagro R.:
    Convergence of Lobatto-type Runge–Kutta methods for partitioned differential-algebraic systems of index 2
    In: Bit Numerical Mathematics (2021)
    ISSN: 0006-3835
    DOI: 10.1007/s10543-021-00871-2

2020

  • Colombo LJ., Martín de Diego D., Nayak A., Sato Martin de Almagro R.:
    Geometric Optimal Trajectory Tracking of Nonholonomic Mechanical Systems
    In: SIAM Journal on Control and Optimization 58 (2020), p. 1652-1675
    ISSN: 0363-0129
    DOI: 10.1137/19M1243464
  • Huang D., Fuhg JN., Weißenfels C., Wriggers P.:
    A machine learning based plasticity model using proper orthogonal decomposition
    In: Computer Methods in Applied Mechanics and Engineering 365 (2020), p. 113008
    ISSN: 0045-7825
    DOI: 10.1016/j.cma.2020.113008
  • Kergaßner A., Burkhardt C., Lippold D., Kergaßner M., Pflug L., Budday D., Steinmann P., Budday S.:
    Memory-based meso-scale modeling of Covid-19
    In: Computational Mechanics (2020)
    ISSN: 0178-7675
    DOI: 10.1007/s00466-020-01883-5
  • Martin De Diego D., Sato Martin de Almagro R.:
    Variational order for forced Lagrangian systems II. Euler-Poincare equations with forcing
    In: Nonlinearity 33 (2020), p. 3709-3738
    ISSN: 0951-7715
    DOI: 10.1088/1361-6544/ab8bb1

2019

  • Duong MT., Holz D., Alkassar M., Dittrich S., Leyendecker S.:
    Interaction of the mechano-electrical feedback with passive mechanical models on a 3D rat left ventricle: a computational study
    In: Frontiers in Physiology 10 (2019), p. 10-41
    ISSN: 1664-042X
    DOI: 10.3389/fphys.2019.01041
    URL: https://www.frontiersin.org/articles/10.3389/fphys.2019.01041/abstract
  • Eisentraudt M., Leyendecker S.:
    Epistemic uncertainty in optimal control simulation
    In: Mechanical Systems and Signal Processing 121 (2019), p. 876-889
    ISSN: 0888-3270
    DOI: 10.1016/j.ymssp.2018.12.001
  • Eisentraudt M., Leyendecker S.:
    Fuzzy uncertainty in forward dynamics simulation
    In: Mechanical Systems and Signal Processing 126 (2019), p. 590-608
    ISSN: 0888-3270
    DOI: 10.1016/j.ymssp.2019.02.036
  • Hoffmann R., Taetz B., Miezal M., Bleser G., Leyendecker S.:
    On optical data-guided optimal control simulations of human motion
    In: Multibody System Dynamics (2019), p. 1-22
    ISSN: 1384-5640
    DOI: 10.1007/s11044-019-09701-4
  • Huang D., Weißenfels C., Wriggers P.:
    Modelling of serrated chip formation processes using the stabilized optimal transportation meshfree method
    In: International Journal of Mechanical Sciences 155 (2019), p. 323-333
    ISSN: 0020-7403
    DOI: 10.1016/j.ijmecsci.2019.03.005
  • Pivovarov D., Hahn V., Steinmann P., Willner K., Leyendecker S.:
    Fuzzy dynamics of multibody systems with polymorphic uncertainty in the material microstructure
    In: Computational Mechanics 64 (2019), p. 1601-1619
    ISSN: 0178-7675
    DOI: 10.1007/s00466-019-01737-9
  • Pivovarov D., Willner K., Steinmann P., Brumme S., Müller M., Srisupattarawanit T., Ostermeyer GP., Henning C., Ricken T., Kastian S., Reese S., Moser D., Grasedyck L., Biehler J., Pfaller M., Wall W., Kohlsche T., Estorff Ov., Gruhlke R., Eigel M., Ehre M., Papaioannou I., Straub D., Leyendecker S.:
    Challenges of order reduction techniques for problems involving polymorphic uncertainty
    In: GAMM-Mitteilungen (2019), Article No.: e201900010
    ISSN: 0936-7195
    DOI: 10.1002/gamm.201900011

2018

  • Björkenstam S., Carlson JS., Linn J., Leyendecker S., Lennartson B.:
    Inverse Dynamics for Discrete Geometric Mechanics of Multibody Systems with Application to Direct Optimal Control
    In: Journal of Computational and Nonlinear Dynamics (2018)
    ISSN: 1555-1423
    DOI: 10.1115/1.4040780
  • Budday D., Leyendecker S., van den Bedem H.:
    Kinematic Flexibility Analysis: Hydrogen Bonding Patterns Impart a Spatial Hierarchy of Protein Motion
    In: Journal of Chemical Information and Modeling 58 (2018), p. 2108-2122
    ISSN: 1549-9596
    DOI: 10.1021/acs.jcim.8b00267
    URL: https://pubs.acs.org/doi/abs/10.1021/acs.jcim.8b00267?journalCode=jcisd8
  • Fonseca R., Budday D., van den Bedem H.:
    Collision-free poisson motion planning in ultra high-dimensional molecular conformation spaces
    In: Journal of Computational Chemistry (2018)
    ISSN: 0192-8651
    DOI: 10.1002/jcc.25138
  • Glaas D., Leyendecker S.:
    Variational integrator based optimal feedback control for constrained mechanical systems
    In: ZAMM - Zeitschrift für angewandte Mathematik und Mechanik (2018)
    ISSN: 0044-2267
    DOI: 10.1002/zamm.201700221
  • Kosmas O., Leyendecker S.:
    Variational integrators for orbital problems using frequency estimation
    In: Advances in Computational Mathematics (2018), p. 1-21
    ISSN: 1019-7168
    DOI: 10.1007/s10444-018-9603-y
  • Leitz T., Leyendecker S.:
    Galerkin Lie-group variational integrators based on unit quaternion interpolation
    In: Computer Methods in Applied Mechanics and Engineering 338 (2018), p. 333-361
    ISSN: 0045-7825
    DOI: 10.1016/j.cma.2018.04.022

2017

  • Budday D., Fonseca R., Leyendecker S., van den Bedem H.:
    Frustration-guided motion planning reveals conformational transitions in proteins
    In: Proteins-Structure Function and Bioinformatics 85 (2017), p. 1795-1807
    ISSN: 0887-3585
    DOI: 10.1002/prot.25333
  • Zhang L., Huang D., Zhou W., Fan C, Ji S., Zhao J.:
    Corrective polishing of freeform optical surfaces in an off-axis three-mirror imaging system
    In: International Journal of Advanced Manufacturing Technology 88 (2017), p. 2861-2869
    ISSN: 0268-3768
    DOI: 10.1007/s00170-016-8995-4
  • Huang D., Zhang L., Ji S., Zhao J.:
    Tool path generation for ultra-precision polishing of freeform optical surfaces in an off-axis three-mirror imaging system
    In: Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture 231 (2017), p. 814-824
    ISSN: 0954-4054
    DOI: 10.1177/0954405415599916
  • Héliou A., Budday D., Fonseca R., van den Bedem H.:
    Fast, clash-free RNA conformational morphing using molecular junctions
    In: Bioinformatics (2017)
    ISSN: 1367-4803
    DOI: 10.1093/bioinformatics/btx127
  • Koch M., Ringkamp M., Leyendecker S.:
    Discrete Mechanics and Optimal Control of Walking Gaits
    In: Journal of Computational and Nonlinear Dynamics 12 (2017)
    ISSN: 1555-1423
    DOI: 10.1115/1.4035213
  • Schlögl T., Leyendecker S.:
    A polarisation based approach to model the strain dependent permittivity of dielectric elastomers
    In: Sensors and Actuators A-Physical 267 (2017), p. 156 - 163
    ISSN: 0924-4247
    DOI: 10.1016/j.sna.2017.09.048
  • Wenger T., Ober-Blöbaum S., Leyendecker S.:
    Construction and analysis of higher order variational integrators for dynamical systems with holonomic constraints
    In: Advances in Computational Mathematics 43 (2017), p. 1163-1195
    ISSN: 1019-7168
    DOI: 10.1007/s10444-017-9520-5

2016

  • Kosmas O., Leyendecker S.:
    Analysis of higher order phase fitted variational integrators
    In: Advances in Computational Mathematics 42 (2016), p. 605-619
    ISSN: 1019-7168
    DOI: 10.1007/s10444-015-9436-x

2015

  • Budday D., Leyendecker S., van den Bedem H.:
    Geometric analysis characterizes molecular rigidity in generic and non-generic protein configurations
    In: Journal of the Mechanics and Physics of Solids 83 (2015), p. 36-47
    ISSN: 0022-5096
    DOI: 10.1016/j.jmps.2015.06.006
  • Demoures F., Gay-Balmaz F., Leyendecker S., Ober-Blöbaum S., Ratiu TS., Weinard Y.:
    Discrete variational Lie group formulation of geometrically exact beam dynamics
    In: Numerische Mathematik 130 (2015), p. 73-123
    ISSN: 0029-599X
    DOI: 10.1007/s00211-014-0659-4
  • Esper JD., Scherzer S., Stary Z., Pavlova E.:
    Phase structure, rheology and electrical conductivity of co-continuous polystyrene/polymethylmethacrylate blends filled with carbon black
    In: Composites Science and Technology 119 (2015), p. 138-147
    ISSN: 0266-3538
    DOI: 10.1016/j.compscitech.2015.10.003
  • Schlögl T., Leyendecker S.:
    Electrostatic-viscoelastic finite element model of dielectric actuators
    In: Computer Methods in Applied Mechanics and Engineering 299 (2015), p. 421-439
    ISSN: 0045-7825
    DOI: 10.1016/j.cma.2015.10.017
    URL: http://www.sciencedirect.com/science/article/pii/S0045782515003461

2014

  • Johnson G., Leyendecker S., Ortiz M.:
    Discontinuous variational time integrators for complex multibody collisions
    In: International Journal for Numerical Methods in Engineering 100 (2014), p. 871-913
    ISSN: 0029-5981
    DOI: 10.1002/nme.4764
  • Schulze M., Dietz S., Burgermeister B., Tuganov A., Lang H., Linn J., Arnold M.:
    Integration of nonlinear models of flexible body deformation in multibody system dynamics
    In: Journal of Computational and Nonlinear Dynamics 9 (2014)
    ISSN: 1555-1423
    DOI: 10.1115/1.4025279

2013

  • Koch M., Leyendecker S.:
    Energy momentum consistent force formulation for the optimal control of multibody systems
    In: Multibody System Dynamics 29 (2013), p. 381-401
    ISSN: 1384-5640
    DOI: 10.1007/s11044-012-9332-9
  • Koch M., Leyendecker S.:
    Structure preserving simulation of monopedal jumping
    In: Archive of Mechanical Engineering LX (2013), p. 127-146
    ISSN: 0004-0738
    DOI: 10.2478/meceng-2013-0008
  • Linn J., Lang H., Tuganov A.:
    Geometrically exact Cosserat rods with Kelvin-Voigt type viscous damping
    In: Mechanical Sciences 4 (2013), p. 79-96
    ISSN: 2191-9151
    DOI: 10.5194/ms-4-79-2013
  • Maas R., Leyendecker S.:
    Biomechanical optimal control of human arm motion
    In: Proceedings of the Institution of Mechanical Engineers Part K-Journal of Multi-Body Dynamics 227 (2013), p. 375-389
    ISSN: 1464-4193
    DOI: 10.1177/1464419313488363

2012

  • Johnson G., Ortiz M., Leyendecker S.:
    A linear programming-based algorithm for the signed separation of (non-smooth) convex bodies
    In: Computer Methods in Applied Mechanics and Engineering 232-236 (2012), p. 49-67
    ISSN: 0045-7825
    DOI: 10.1016/j.cma.2012.04.006
  • Kosmas O., Vlachos DS.:
    Local path fitting: a new approach to variational integrators
    In: Journal of Computational and Applied Mathematics 236 (2012), p. 2632-2642
    ISSN: 0377-0427
    DOI: 10.1016/j.cam.2011.12.021
  • Kosmas O., Vlachos DS.:
    Simulated annealing for optimal ship routing
    In: Computers & Operations Research 39 (2012), p. 576-581
    ISSN: 0305-0548
    DOI: 10.1016/j.cor.2011.05.010
  • Lang H., Arnold M.:
    Numerical aspects in the dynamic simulation of geometrically exact rods
    In: Applied Numerical Mathematics (2012)
    ISSN: 0168-9274
  • Leyendecker S., Koch M., Hartmann C.:
    Variational collision integrator for polymer chains
    In: Journal of Computational Physics (2012)
    ISSN: 0021-9991
    DOI: 10.1016/j.jcp.2012.01.017
  • Ringkamp M., Ober-Blöbaum S., Dellnitz M., Schütze O.:
    Handling high dimensional problems with multi-objective continuation methods via successive approximation of the tangent space
    In: Engineering Optimization 44 (2012), p. 1117-1146
    ISSN: 0305-215X
    DOI: 10.1080/0305215X.2011.634407

2011

  • Lang H., Linn J., Arnold M.:
    Multibody dynamics simulation of geometrically exact Cosserat rods
    In: Multibody System Dynamics 25 (2011), p. 285 - 312
    ISSN: 1384-5640
  • Maas R., Siebert T., Leyendecker S.:
    On the relevance of structure preservation to simulations of muscle actuated movements
    In: Biomechanics and modeling in mechanobiology Volume 11 (2011), p. 543-556
    ISSN: 1617-7940
    DOI: 10.1007/s10237-011-0332-0

2010

  • Jung P., Leyendecker S., Linn J., Ortiz M.:
    A discrete mechanics approach to Cosserat rod theory - Part I: static equilibria
    In: International Journal for Numerical Methods in Engineering Vol. 85 (2010), p. 31-60
    ISSN: 0029-5981
    DOI: 10.1002/nme.2950
  • Kosmas O., Vlachos DS.:
    Phase-fitted discrete Lagrangian integrators
    In: Computer Physics Communications 181 (2010), p. 562-568
    ISSN: 0010-4655
    DOI: 10.1016/j.cpc.2009.11.005
  • Leyendecker S., Lucas LJ., Owhadi H., Ortiz M.:
    Optimal control strategies for robust certification
    In: Journal of Computational and Nonlinear Dynamics Volume 5 (2010), p. 031008
    ISSN: 1555-1423
    DOI: 10.1115/1.4001375
  • Leyendecker S., Ober-Blöbaum S., Marsden JE., Ortiz M.:
    Discrete mechanics and optimal control for constrained systems
    In: Optimal Control Applications & Methods 31 (2010), p. 505-528
    ISSN: 0143-2087
    DOI: 10.1002/oca.912

2009

  • Lang H., Dreßler K., Pinnau R., Speckert M.:
    Comparison of the solutions of the elastic and elastoplastic boundary value problems
    In: Zeitschrift für Angewandte Mathematik und Physik 61 (2009), p. 635 - 653
    ISSN: 0044-2275
  • Lang H., Dreßler K., Pinnau R., Speckert M.:
    Notes on Lipschitz estimates for the stop and play operator in plasticity
    In: Applied Mathematics Letters 22 (2009), p. 623 - 627
    ISSN: 0893-9659
  • Schmidt B., Leyendecker S., Ortiz M.:
    Gamma-convergence of variational integrators for constrained systems
    In: Journal of Nonlinear Science 19 (2009), p. 1432-1467
    ISSN: 0938-8974
    DOI: 10.1007/s00332-008-9030-1

2008

  • Leyendecker S., Betsch P., Steinmann P.:
    The Discrete Null Space Method for the Energy Consistent Integration of Constrained Mechanical Systems. Part III: Flexible Multibody Dynamics
    In: Multibody System Dynamics Volume 19 (2008), p. 45-72
    ISSN: 1384-5640
    DOI: 10.1007/s11044-007-9056-4
  • Leyendecker S., Marsden JE., Ortiz M.:
    Variational integrators for constrained dynamical systems
    In: ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 88 (2008), p. 677-708
    ISSN: 0044-2267
    DOI: 10.1002/zamm.200700173

2006

  • Betsch P., Leyendecker S.:
    The discrete null space method for the energy consistent integration of constrained mechanical systems. Part II: Multibody dynamics
    In: International Journal for Numerical Methods in Engineering 67 (2006), p. 499-552
    ISSN: 0029-5981
    DOI: 10.1002/nme.1639
  • Betsch P., Leyendecker S., Steinmann P.:
    Objective Energy-Momentum Conserving Integration for the Constrained Dynamics of Geometrically Exact Beams
    In: Computer Methods in Applied Mechanics and Engineering 195 (2006), p. 2313-2333
    ISSN: 0045-7825
    DOI: 10.1016/j.cma.2005.05.002

2004

  • Steinmann P., Betsch P., Leyendecker S.:
    Energy-conserving integration of constrained Hamiltonian systems – a comparison of approaches
    In: Computational Mechanics 33 (2004), p. 174-185
    ISSN: 0178-7675
    DOI: 10.1007/s00466-003-0516-2

No publications found.

2024

  • Martonová D.:
    Computational modelling and simulation of rat heart electromechanics – from (smoothed) finite element methods towards a ligand-receptor model (Dissertation, 2024)
    URL: https://www.ltd.tf.fau.de/files/2024/05/dissertation-denisa-martonova.pdf

2023

  • Penner J.:
    A discrete variational approach to muscle wrapping in musculoskeletal optimal control simulations (Dissertation, 2023)

2022

  • Leitz T.:
    Galerkin Lie group variational integrators (Dissertation, 2022)

2021

  • Gail T.:
    Numerical studies on variational multirate integrators and their use in discrete mechanics and optimal control (Dissertation, 2021)
    URL: https://opus4.kobv.de/opus4-fau/frontdoor/index/index/rows/20/sortfield/score/sortorder/desc/searchtype/simple/query/Gail/doctypefq/doctoralthesis/docId/17573/start/3

2020

  • Huang D.:
    Meshfree Modelling of Metal Cutting using Phenomenological and Data-driven Material Models (Dissertation, 2020)
    URL: https://www.ltd.tf.fau.de/files/2021/05/huang_2020.pdf

2019

  • Budday D.:
    High-Dimensional Robotics at the Nanoscale — Kino-Geometric Modeling of Proteins and Molecular Mechanisms (Dissertation, 2019)
  • Sato Martin de Almagro R.:
    Discrete Mechanics for Forced and Constrained Systems (Dissertation, 2019)
    URL: https://www.ltd.tf.fau.de/files/2020/04/Tesis_Rodrigo_Sato.pdf
  • Scheiterer E.:
    Simulation of a prosthetic foot modelled by a predeformed geometrically exact beam (Master thesis, 2019)

2018

  • Martonová D.:
    Modellierung von Wachstumsprozessen unter dem Einfluss von elastischen Spannungen mit hyperelastischen Energiedichten (Master thesis, 2018)
  • Schlögl T.:
    Modelling, simulation and optimal control of dielectric elastomer actuated systems (Dissertation, 2018)
    URL: https://nbn-resolving.org/urn:nbn:de:bvb:29-opus4-94675
  • Stavole M.:
    Dynamic seismic analysis of CEB structures (Master thesis, 2018)

2017

  • Holz D.:
    Computing fibre orientation for a finite element model of a rat heart (Master thesis, 2017)

2016

  • Koch M.:
    Structure preserving simulation of non-smooth dynamics and optimal control (Dissertation, 2016)
  • Penner J.:
    Modellbildung und Optimalsteuerung einer spurgebundenen Modellrennbahn (Master thesis, 2016)

2015

  • Huang D.:
    Investigation on Polishing Process for Freeform Optical Surfaces in an Off-axis Three Mirror System (Master thesis, 2015)
  • Penner J.:
    Charakterisierung von Reibmodellen zur Simulation eines inversen Pendels. (Other / na, 2015)
  • Phutane U.:
    On the comparison of different muscle model dynamics using variational integrators (Master thesis, 2015)

2014

  • Maas R.:
    Biomechanics and optimal control simulations of the human upper extremity (Dissertation, 2014)
  • Penner J.:
    FE-Simulation geschichteter Strukturen unter Berücksichtigung des Kontaktverhaltens. (Bachelor thesis, 2014)

2012

  • Gail T.:
    Computing time investigations for variational multirate schemes (Diploma thesis, 2012)

2011

  • Leitz T.:
    Ein numerisches Verfahren zur Berechnung des elastohydrodynamischen Kontakts rauer Oberflächen (Diploma thesis, 2011)
  • Leyendecker S.:
    On optimal control simulations for mechanical systems (Habilitation, 2011)
    URL: https://www.ltd.tf.fau.de/files/2020/06/habilitationsschrift_leyendecker.pdf

2009

  • Ringkamp M.:
    Fortsetzungsalgorithmen für hochdimensionale Mehrzieloptimierungsprobleme (Diploma thesis, 2009)

2007

  • Lang H.:
    The difference of the solutions of the elastic and elastoplastic boundary value problem and an approach to multiaxial stress-strain correction (Dissertation, 2007)

2006

  • Leyendecker S.:
    Mechanical integrators for constrained dynamical systems in flexible multibody dynamics (Dissertation, 2006)
    URL: https://www.ltd.tf.fau.de/files/2020/06/diss_sl.pdf

2002

  • Lang H.:
    Die Fläche von Costa, Hoffman und Meeks: Eine vollständige, in den IR³ eingebettete Minimalfläche von Geschlecht Eins, mit drei Enden und endlicher Gaußscher Totalkrümmung -12 pi (Diploma thesis, 2002)
  • Lauer S.:
    Numerical integration methods that preserve mechanical invariants and holonomic constraints (Diploma thesis, 2002)
Institute of Applied Dynamics
Friedrich-Alexander-Universität Erlangen-Nürnberg

Immerwahrstrasse 1
91058 Erlangen
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