Dr.-Ing. Christoph Meier

Contact

  • Room 1234
  • Email: meier@lnm.mw.tum.de
  • Phone: +49-89-289-15238
  • Fax: +49-89-289-15301
  • Office hours: by arrangement

CURRICULUM VITAE (pdf)

Student Care

  • Academic recognition service (Anerkennung von Studienleistungen), since SS 2018
  • Student advisory service (Studienberatung), SS 2012 - WS 15/16
  • TM-Applet Project (student project), SS 2012

Teaching

  • Computational Solid and Fluid Dynamics (MSE), WS 2018/19
  • Nonlinear Continuum Mechanics, WS 2018/19
  • Nonlinear Finite Element Methods (selected chapters), SS 2018
  • Short course “Additive Manufacturing: From 3D Printing to the Factory Floor”, MIT, August 2018
  • Short course “Additive Manufacturing: From 3D Printing to the Factory Floor”, MIT, July / August 2017
  • Virtual Worlds (advanced training for high school teachers), SS 2015
  • Nonlinear Finite Element Methods (selected chapters), SS 2014
  • Engineering Mechanics 3 (Technische Mechanik 3 – Dynamik), WS 2011/12
  • Engineering Mechanics 2 (Technische Mechanik 2 – Elastostatik), WS 2011/12
  • Engineering Mechanics 1 (Technische Mechanik 1 – Statik), WS 2011/12

Research Interests 

  • Finite element methods (FEM), Discrete element methods (DEM), Smooth particle hydrodynamics (SPH)
  • Metal additive manufacturing (AM) processes
  • Physics-based simulation of selective laser melting (SLM) processes on the mesoscale (melt pool hydrodynamics) and macroscale (solid thermo-mechanics)
  • Modeling and simulation of powder spreading processes in metal AM
  • Modeling and simulation of complex systems of highly slender continua
  • Geometrically exact finite element formulations for slender beams
  • Beam-to-beam and beam-to-solid contact formulations
  • Volume and surface potential-based interaction of slender continua
  • Modeling and simulation of (bio-) polymer networks
  • Computational solid and structural dynamics

Scientific Community

  • International Association of Applied Mathematics and Mechanics (GAMM)
  • GAMM Juniors (Fellowship)
  • European Community on Computational Methods in Applied Sciences (ECCOMAS)
  • German Association for Computational Mechanics (GACM)
  • International Association for Computational Mechanics (IACM)

Articles in Peer-Reviewed International Journals

  • Meier, C., Weißbach, R., Weinberg, J., Wall, W.A., Hart, A.J.: Modeling and Characterization of Cohesion in Fine Metal Powders with a Focus on Additive Manufacturing Process Simulations, Powder Technology, submitted for publication, arXiv:1804.06816
  • Meier, C., Weißbach, R., Weinberg, J., Wall, W.A., Hart, A.J.: Critical Influences of Particle Size and Adhesion on the Powder Layer Uniformity in Metal Additive Manufacturing, Journal of Materials Processing Technology, accepted for publication, arXiv:1804.06822
  • Meier, C., Penny, R., Zoua, Y., Gibbs, J.S., Hart, A.J.: Thermophysical phenomena in metal additive manufacturing by selective laser melting: Fundamentals, modeling, simulation and experimentation, Annual Review of Heat Transfer, 20:241-316, DOI: 10.1615/AnnualRevHeatTransfer.2018019042, 2018
  • Meier, C., Popp, A., Wall, W.A.: Geometrically exact finite element formulations for slender beams: Kirchhoff-Love theory vs. Simo-Reissner theory, Archives of Computational Methods in Engineering, 1-81, 2017
  • Meier, C., Grill, M., Wall, W.A., Popp, A.: Geometrically exact finite elements and smooth contact schemes for the modeling of fiber-based materials and structures, International Journal of Solids and Structures, 154:124-146, 2018
  • Meier, C., Wall, W.A., Popp, A.: Unified approach for beam-to-beam contact, Computer Methods in Applied Mechanics and Engineering, 315:972-1010, 2017
  • Meier, C., Popp, A., Wall, W.A.: A finite element approach for the line-to-line contact interaction of thin beams with arbitrary orientation. Computer Methods in Applied Mechanics and Engineering, 308:377-413, 2016
  • Müller, K.W., Meier, C., Wall, W.A.: The resolution of sub-element length scales in Brownian dynamics of biopolymer networks with geometrically exact beam finite elements, Journal of Computational Physics, 303C:185-202, 2015
  • Meier, C., Popp, A., Wall, W.A.: A locking-free finite element formulation and reduced models for geometrically exact Kirchhoff rods. Computer Methods in Applied Mechanics and Engineering, 290:314-341, 2015
  • Meier, C., Popp, A., Wall, W.A.: An objective 3D large deformation finite element formulation for geometrically exact curved Kirchhoff rods. Computer Methods in Applied Mechanics and Engineering, 278:445-478, 2014

Peer-Reviewed Proceedings and Other Articles

  • Wall, W.A., Cyron, C.J., Klöppel, T., Meier, C., Müller, K.W.: Coupled problems on the cellular and sub-cellular scale, 4th International Conference on Computational Methods for Coupled Problems in Science and Engineering, Kos Island, Greece, 2011
  • Müller, K.W., Meier, C., Wall, W.A.: Brownian dynamics simulation of cellular protein networks, IACM expressions, 37:2-5, 2015

Thesis

Meier, C.: Geometrically exact finite element formulations for slender beams and their contact interaction, Technical University of Munich, Germany, 2016

International Conference Contributions with Abstract

  • Meier, C., Popp, A., Wall, W.A.: Geometrically exact finite element formulations for highly slender continua and their contact interaction, 4th ECCOMAS Young Investigators Conference (YIC), Milan, Italy, 2017
  • Meier, C., Popp, A., Wall, W.A.: Geometrically exact finite element formulations for slender beams: Kirchhoff-Love theory vs. Simo-Reissner theory, 14th US National Congress on Computational (USNCCM), Montreal, Canada, 2017
  • Popp, A., Meier, C., Oshima, M.: Novel contact algorithms for nonlinear beam models – Beam-to-beam contact, beam-to-solid mesh tying and beam-to-solid contact, 5th International Conference on Computational Contact Mechanics (ICCCM), Lecce, Italy, 2017
  • Popp, A., Meier, C., Wall, W.A.: A unified framework for beam-to-beam contact interaction, 12th World Congress on Computational Mechanics (WCCM), Seoul, Korea, 2016
  • Meier, C., Popp, A., Wall, W.A.: Modeling of highly slender fibers based on geometrically exact Kirchhoff beam elements and a unified contact approach, Euromech Colloquium 569 – Multiscale modeling of fibrous and textile materials, Châtenay-Malabry, France, 2016
  • Meier, C., Popp, A., Wall, W.A.: A finite element model for arbitrarily oriented fibers and their contact interaction based on geometrically exact Kirchhoff beam elements, 13th US National Congress on Computational (USNCCM), San Diego, USA, 2015
  • Popp, A., Meier, C., Wall, W.A.: A finite element approach for arbitrarily complex contact interaction of geometrically exact 3D Kirchhoff beams, 3rd ECCOMAS Young Investigators Conference (YIC), Aachen, Germany, 2015
  • Mukherjee, D., Meier, C., Müller, K.W., Wall, W.A.: Modeling of cross-linkers in biopolymer networks based on geometrically exact beam formulations, 3rd ECCOMAS Young Investigators Conference (YIC), Aachen, Germany, 2015
  • Meier, C., Popp, A., Wall, W.A.: A finite element approach for contact interaction of thin beams with arbitrary orientation, 4th International Conference on Computational Contact Mechanics (ICCCM), Hannover, Germany, May, 2015
  • Mukherjee, D., Müller, K.W., Meier, C., Wall, W.A.: An approach for the micro-mechanical simulation of biopolymer networks based on geometrically exact beam elements, 11th World Congress on Computational Mechanics (WCCM), Barcelona, Spain, 2014
  • Müller, K.W., Meier, C., Cyron, C.J., Wall, W.A.: Self-assembly and mechanics of biopolymer networks: development of a Brownian dynamics finite element approach based on geometrically exact, three-dimensional beam elements, 3rd International Conference on Particle-Based Methods (Particles), Stuttgart, Germany, 2013
  • Meier, C., Popp, A., Wall, W.A.: A geometrically nonlinear three-dimensional finite element beam formulation of Kirchhoff type, 12th International Conference on Computational Plasticity (COMPLAS), Barcelona, Spain, 2013
  • Meier, C., Popp, A., Cyron, C. J., Müller, K., Wall, W.A.: A beam-to-beam contact formulation adapted to highly slender structures and its application to biopolymer networks, 20th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS), Vienna, Austria, 2012
  • Müller, K.W., Meier, C., Cyron, C.J., Bausch, A.R., Wall, W.A.: Computational approach to the simulation of the viscoelastic behavior of the cytoskeleton using finite beam elements, 8th European Solid Mechanics Conference (ESMC), Graz, Austria, 2012
  • Müller, K.W., Meier, C., Cyron, C.J., Bausch, A.R., Wall, W.A.: A computational approach for the stochastic analysis of crosslinked biopolymer networks, 1st ECCOMAS Young Investigators Conference (YIC), Aveiro, Portugal, 2012
  • Meier, C., Popp, A., Cyron, C. J., Wall, W.A.: A finite element contact formulation for highly slender beam structures and its application to biopolymer networks, 4th GACM Colloquium on Computational Mechanics (GACM), Dresden, Germany, 2011

Supervised Student Term Papers and B.Sc. / M.Sc. Theses

  • Development of a melt pool model for metal additive manufacturing processes based on smooth particle hydrodynamics (Lennart Schulze, TUM, in progress)
  • Novel finite element formulations and numerical algorithms for an efficient thermo-mechanical simulation of selective laser melting processes (Sebastian Pröll, TUM, 2018)
  • Development of advanced powder models for metal additive manufacturing processes based on the discrete element method (Marvin Ochsenius, TUM, 2018)
  • Modeling and simulation of the powder spreading process in metal additive manufacaturing processes (Reimar Weißbach, TUM / MIT, 2017)
  • Derivation of a cross-section-reduced potential law modeling the van-der-Waals interaction of slender continua (Reimar Weißbach, TUM, 2015)
  • Investigation and comparison of different Kirchhoff beam formulations with weak / strong constraint enforcement (Sleiman Haddar, TUM, 2015)
  • Development of a FEM beam-to-solid contact formulation (Michael Hofer, TUM, 2014)
  • Development of a finite element formulation for potential-based interactions of slender continua and its application to biopolymers (Maximilian Grill, TUM, 2014)
  • Implementation of a nonlinear 3D beam contact formulation based on the finite element method (Daniel Neumann, TUM, 2013)
  • Development and Evaluation of Contact Formulations for Slender Structures (Anja Bestler, TUM, 2013)
  • Theoretical analysis and finite element implementation of different geometrically nonlinear Euler-Bernoulli beam formulations (Dominik Suckart, TUM, 2012)
  • Nonlinear 3D finite element formulation for beam contact based on Lagrange multipliers (Chong Wang, TUM, 2012)
  • Visualization of smooth beam geometries and beam contact using splines (Max von Danwitz, TUM, 2012)
  • Comparison of shape functions for a nonlinear Euler-Bernoulli beam element for the isotropic case (Maximilian Grill, TUM, 2011)
  • Investigations on different reference triads for a nonlinear, anisotropic Euler-Bernoulli beam element (Wolfgang Hering, TUM, 2011)