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Technische Universität München
Technische Universität München

Dr.-Ing. Maximilian Grill

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PhD Thesis

  • Grill, M. J. (2020), Computational models and methods for molecular interactions of deformable fibers in complex biophysical systems, PDF

Research Interests

  • Molecular interactions of (biological) micro and nano fibers
  • Biopolymer filament networks and bundles
  • Geometrically exact finite element formulations for slender beams
  • Beam-beam and beam-solid contact formulations
  • Finite element method (FEM)
  • Computational solid and structural dynamics
  • Biomechanics

Articles in Peer-Reviewed International Journals

  • Meier, C., Grill, M. J., Wall, W. A. (2023). Generalized section-section interaction potentials in the geometrically exact beam theory: Modeling of Intermolecular Forces, Asymptotic Limit as Strain-Energy Function, and Formulation of Rotational Constraints. International Journal of Solids and Structures 276, 112255. https://doi.org/10.1016/j.ijsolstr.2023.112255.

  • Grill, M. J., Wall, W. A., Meier, C. (2024). Asymptotically consistent and computationally efficient modeling of short-ranged molecular interactions between curved slender fibers undergoing large 3D deformations. Advanced Modeling and Simulation in Engineering Sciences 11 (1), 1-47. https://doi.org/10.1186/s40323-023-00257-9.

  • Grill, M. J., Wall, W. A., Meier, C. (2023). Analytical disk-cylinder interaction potential laws for the computational modeling of adhesive, deformable (nano)fibers. International Journal of Solids and Structures 269, 112175. https://doi.org/10.1016/j.ijsolstr.2023.112175.

  • Eichinger J. F., Grill M. J., Davoodi K. I., Aydin R. C., Wall W. A., Humphrey J. D., Cyron C. J. (2021). A computational framework for modeling cell-matrix interactions in soft biological tissues. Biomechanics and modeling in mechanobiology 20 (5), 1851-1870. https://doi.org/10.1007/s10237-021-01480-2

  • Slepukhin, V. M., Grill, M. J., Hu, Q., Botvinick, E. L., Wall, W. A., Levine, A. J. (2021). Topological defects produce kinks in biopolymer filament bundles. Proceedings of the National Academy of Sciences, 118(15), e2024362118. https://doi.org/10.1073/pnas.2024362118

  • Grill, M. J., Eichinger, J. F., Koban, J., Meier, C., Lieleg, O., Wall, W. A. (2021). A novel modelling and simulation approach for the hindered mobility of charged particles in biological hydrogels. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 477(2249), 20210039. https://doi.org/10.1098/rspa.2021.0039

  • Grill, M. J., Kernes, J., Slepukhin, V. M., Wall, W. A., Levine, A. J. (2021). Directed force propagation in semiflexible networks. Soft Matter 17 (45), 10223-10241. https://doi.org/10.1039/D0SM01177K

  • Lutz, T. M., Marczynski, M., Grill, M. J., Wall, W. A., Lieleg, O. (2020). Repulsive backbone–backbone interactions modulate access to specific and unspecific binding sites on surface-bound mucins. Langmuir, 36(43), 12973–12982. https://doi.org/10.1021/acs.langmuir.0c02256

  • Steinbrecher, I., Mayr, M., Grill, M. J., Kremheller, J., Meier, C., Popp, A. (2020). A mortar-type finite element approach for embedding 1D beams into 3D solid volumes. Computational Mechanics, 66(6), 1377–1398. https://doi.org/10.1007/s00466-020-01907-0

  • Grill, M. J., Wall, W. A., Meier, C. (2020). A computational model for molecular interactions between curved slender fibers undergoing large 3D deformations with a focus on electrostatic, van der Waals, and repulsive steric forces. International Journal for Numerical Methods in Engineering, 121(10), 2285–2330. https://doi.org/10.1002/nme.6309

  • Grill, M. J., Meier, C., Wall, W. A. (2021). Investigation of the peeling and pull-off behavior of adhesive elastic fibers via a novel computational beam interaction model. The Journal of Adhesion, 97(8), 730–759. https://doi.org/10.1080/00218464.2019.1699795

  • Slepukhin, V. M., Grill, M. J., Müller, K. W., Wall, W. A., Levine, A. J. (2019). Conformation of a semiflexible filament in a quenched random potential. Physical Review E, 99(4), 042501. https://doi.org/10.1103/PhysRevE.99.042501

  • Meier, C., Grill, M. J., Wall, W. A., Popp, A. (2018). Geometrically exact beam elements and smooth contact schemes for the modeling of fiber-based materials and structures. International Journal of Solids and Structures, 154, 124–146. https://doi.org/https://doi.org/10.1016/j.ijsolstr.2017.07.020

International Conference Contributions with Abstract (Selection)

  • Grill, M. J., Ager, C., Meier, C., Wall, W. A.. Solids (and fluids) in (inter-)action, 10th International Congress on Computational Mechanics 2021, Virtual Congress, 5 - 7 July, 2021 (Plenary Lecture)

  • Grill, M. J., Slepukhin, V. M., Levine A. J., Wall, W. A.. Finite-element Brownian dynamics simulations of biopolymer filament bundles and networks, American Physical Society (APS) March Meeting 2021, Virtual Congress, 15 - 19 March, 2021 (Invited)

  • Grill, M. J., Meier, C., Wall, W. A.. Computational approach to molecular interactions of deformable fibers in complex biophysical systems, 14th World Congress on Computational Mechanics (WCCM) and 8th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS) 2020, Virtual Congress, 11 - 15 January, 2021

  • Grill, M. J., Meier, C., Wall, W. A.. Computational modeling of molecular interactions between slender fibers for challenging problems in biophysics, XV International Conference on Computational Plasticity (COMPLAS) 2019, Barcelona, Spain, 3 - 5 September, 2019

  • Grill, M. J., Meier, C., Wall, W. A.. Finite element formulations for molecular interactions of flexible fibers, 6th European Conference on Computational Mechancis - ECCM-ECFD 2018, Glasgow, United Kingdom, 11 - 15 June, 2018

Research Awards

Teaching

Teaching Awards

  • 1. Platz, Goldene Lehre im Grundstudium Maschinenwesen (1st prize within the annual teaching evaluation of the Faculty of Mechanical Engineering), TUM, 2016

  • 3. Platz, Goldene Lehre im Grundstudium Maschinenwesen (3rd prize within the annual teaching evaluation of the Faculty of Mechanical Engineering), TUM, 2015

Supervised Student Theses and Projects

  • Continuum-mechanical modelling of the human shoulder with a focus on the constitutive description of skeletal muscle, Master's Thesis, 2020

  • Continuum-mechanical modeling and simulation of the human finger, Bachelor's Thesis, 2020

  • Advanced visualization of the hindered diffusive mobility of charged particles in biological hydrogels, Student project as part of the course Visualization Techniques in Comp. Mechanics, 2020

  • Photorealistic visualization of the twisting and deflection of a 7x1 steel wire rope, Student project as part of the course Visualization Techniques in Comp. Mechanics, 2019

  • Modeling and simulation of single collagen fibril mechanics basedon beam finite elements, Term Paper, 2017

  • Simulation of frictional beam-to-beam contact based on geometrically exact beam finite element formulations, Bachelor's Thesis, 2017

  • Simulation of hindered diffusion of particles in biological hydrogelsdue to contact and electrostatic interaction, Bachelor's Thesis, 2017

  • Simulation of the Brownian dynamics of slender biopolymers using beam finite elements, Term Paper, 2017

  • Development of a finite element method for short-range potential-based interactions of thin fibers, Bachelor's Thesis, 2015

Education

  • 2014 - 2020 Research and Teaching Associate at the Institute for Computational Mechanics (Lehrstuhl für Numerische Mechanik), TUM, Germany
  • 2014 Master of Science (M.Sc.), Mechanical Engineering, TUM, Germany
  • Master's Thesis: Development of a finite element formulation for potential-based interactions of slender continua and its application to biopolymer physics.
  • 2012 Bachelor of Science (B.Sc.), Management and Technology (TUM-BWL), TUM, Germany
  • 2011 Bachelor of Science (B.Sc.), Mechanical Engineering, TUM, Germany
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