Professor

© TUD/NEFM

Professor for Computational and Experimental Solid Mechanics

Name

Prof. Dr.-Ing. habil. Markus Kästner

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Organization Name

Chair of Computational and Experimental Solid Mechanics

Chair of Computational and Experimental Solid Mechanics

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Zeunerbau, Room 353 George-Bähr-Straße 3c

01069 Dresden

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work Tel.

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+49 351 463-37061

Research

Multi-scale modelling of the material behaviour of heterogeneous materials

• Deformation and damage behaviour of fibre-reinforced polymers
• Magneto-sensitive elastomers and fluids
• Homogenisation techniques for coupled boundary value problems

Development and application of numerical methods

• Isogeometric finite element (IGAFEM) and boundary element methods (IGABEM)
• Extended finite element method (XFEM)
• Modelling of coupled boundary value problems
• Phase-field modelling of crack propagation and structural evolution

Experimental characterisation and modelling of complex material behaviour

• Damage of fibre-reinforced polymers
• Inelastic rate dependent material behaviour of polymers
• Experimental validation of material models

SELECTED Projects

• DFG Priority Programme (SPP) 1681
• DFG Priority Programme (SPP) 1712
• DFG Priority Programme (SPP) 1713
• DFG Priority Programme (SPP) 1748
• DFG Collaborative Research Center (SFB) 639

Publications

Reviewed Journals

• Martin Boisly, Jörg Brummund, and Markus Kästner.
  Analysing the large amplitude oscillatory shear response of a Bingham-Hooke model in Pipkin space and by Fourier Transform rheology to predict weak strain overshoots.
  Journal of Non-Newtonian Fluid Mechanics, 245:11--24, 2017. [ bib | DOI ]

• Paul Hennig, Markus Kästner, Philipp Morgenstern, and Daniel Peterseim.
  Adaptive mesh refinement strategies in isogeometric analysis— A computational comparison.
  Computer Methods in Applied Mechanics and Engineering, 316, 2017. [ bib | DOI ]

• Dirk Romeis, Philipp Metsch, Markus Kästner, and Marina Saphiannikova. Theoretical models for magneto-sensitive elastomers: A comparison between continuum and dipole approaches.
  Physical Review E, 95(4):042501, 2017. [ bib | DOI ]

• Franz Hirsch and Markus Kästner.
  Microscale simulation of adhesive and cohesive failure in rough interfaces. Engineering Fracture Mechanics, 2017. [ bib | DOI ]

• Karl Alexander Kalina, Jörg Brummund, Philipp Metsch, Markus Kästner, Dmitry Yuri Borin, Julia Martina Linke, and Stefan Odenbach. Modeling of magnetic hystereses in soft MREs filled with NdFeB particles. Smart Materials and Structures, 26(10):105019, 2017. [ bib | DOI ]

• Thomas Linse, Paul Hennig, Markus Kästner, and René de Borst.
  A convergence study of phase-field models for brittle fracture.
  Engineering Fracture Mechanics, 2017. [ bib | DOI

• Karl Alexander Kalina, Philipp Metsch, and Markus Kästner.
  Microscale modeling and simulation of magnetorheological elastomers at finite strains: A study on the influence of mechanical preloads.
  International Journal of Solids and Structures, 102-103:286--296, 2016. [ bib | DOI ]

• Martin Boisly, Stefan Schuldt, Markus Kästner, Yvonne Schneider, and Harald Rohm. Experimental characterisation and numerical modelling of cutting processes in viscoelastic solids.
  Journal of Food Engineering, 191:1--9, 2016. [ bib | DOI ]

• Paul Hennig, Sebastian Müller, and Markus Kästner.
  Bézier extraction and adaptive refinement of truncated hierarchical NURBS. Computer Methods in Applied Mechanics and Engineering, 305:316--339, 2016. [ bib | DOI ][14]

• Franz Hirsch, Sebastian Müller, Michael Machens, Robert Staschko, Normen Fuchs, and Markus Kästner.
  Simulation of self-piercing rivetting processes in fibre reinforced polymers: material modelling and parameter identification.
  Journal of Materials Processing Technology, 241, 2016. [ bib | DOI ][15]

• Robert Kießling, Jörn Ihlemann, Markus Pohl, Markus Stommel, Christian Dammann, Rolf Mahnken, Mathias Bobbert, Gerson Meschut, Franz Hirsch, and Markus Kästner.
  On the Design, Characterization and Simulation of Hybrid Metal-Composite Interfaces.
  Applied Composite Materials, 23:1--19, 2016. [ bib | DOI ]

• P. Metsch, K.A. Kalina, C. Spieler, M. Kästner: A numerical study on magnetostrictive phenomena in magnetorheological elastomers.
  Comput. Mater. Sci. 124, pp. 364-374, 2016. [URL]
• M. Boisly, S. Schuldt, M. Kästner, Y. Schneider, H. Rohm
  Experimental characterisation and numerical modelling of cutting processes in viscoelastic solids.
  J. Food Eng. 191, pp. 1-9, 2016. [URL]
• M. Kästner, P. Hennig, T. Linse, V. Ulbricht
  Phase-Field Modelling of Damage and Fracture - Convergence and Local Mesh Refinement.
  Advanced Methods of Continuum Mechanics for Materials and Structures, pp. 307-324, Springer, 2016. [URL]
• P. Hennig, S. Müller, M. Kästner
  Bézier extraction and adaptive refinement of truncated hierarchical NURBS.
  Comput. Method. Appl. M. 305, pp. 316-339, 2016. [URL]
• M. Kästner, P. Metsch, R. de Borst
  Isogeometric analysis of the Cahn-Hilliard equation – a convergence study.
  J. Comp. Phys. 305, pp. 360-731, 2016. [URL]
• M. Kästner, S. Müller, F. Hirsch, J.-S. Pap, I. Jansen, V. Ulbricht
  XFEM modelling of interface failure in adhesively bonded fibre-reinforced polymers.
  Adv. Eng. Mater. 18 (3), pp. 417-426, 2016. [URL]
• C. Spieler, M. Kästner, V. Ulbricht
  Analytic and numeric solution of a magneto-mechanical inclusion problem.
  Arch. Appl. Mech. 85 (9), pp. 1483-1497, 2015 [URL]
• K. Zimmermann, I. Zeidis, V. Böhm, T. Kaufhold, T. Volkova, M. Krautz, A. Waske, M. Schrödner, J. Popp, M. Kästner, C. Spieler
  Mechanics of actuators based on magnetic hybrid material with applications for robotics fluid control and sensor technology.
  Problems of Mechanics 4 (57), pp. 23-41, 2014. [URL]
• S. May, M. Kästner, S. Müller, V. Ulbricht
  Hybrid IGAFEM/IGABEM formulation for two-dimensional stationary magnetic and coupled magneto-mechanical field problems.
  Comput. Method. Appl. M. 273, pp. 161-180, 2014. [URL]
• C. Spieler, P. Metsch, M. Kästner, V. Ulbricht
  Microscale modeling of magnetoactive composites undergoing large deformations.
  Tech. Mech. 34, pp. 39-50, 2014. [URL]
• M. Boisly, M. Kästner, J. Brummund, V. Ulbricht
  Large amplitude oscillatory shear of the Prandtl element analysed by Fourier Transform Rheology.
  Appl. Rheol. 24, 35478, 2014.
• M. Boisly, M. Kästner, J. Brummund, V. Ulbricht
  General aspects of yield stress fluids – Terminology and definition of viscosity.
  Appl. Rheol. 24, pp. 16-26, 2014.
• C. Spieler, M. Kästner, J. Goldmann, J. Brummund, V. Ulbricht
  XFEM modeling and homogenization of magnetoactive composites.
  Acta Mech. pp. 1-17, 2013. [URL]
• M. Kästner, S. Müller, J. Goldmann, C. Spieler, J. Brummund, V. Ulbricht
  Higher order extended FEM for weak discontinuities - level set representation, quadrature and application to magneto-mechanical problems.
  Int. J. Numer. Meth. Engng. 93, pp. 1403-1424, 2013. [URL]
• S. Müller, M. Kästner, J. Brummund, V. Ulbricht
  On the numerical handling of fractional viscoelastic material models in a FE analysis.
  Comput. Mech., 51(6), pp. 999-1012, 2013. [URL]
• M. Krahe, I. Wenzel, K.-N. Lin, J. Fischer, J. Goldmann, M. Kästner, C. Fütterer
  Fluctuations and differential contraction during regeneration of Hydra vulgaris tissue toroids.
  New J. Phys. 15(3) 035004, 2013. [URL]
• M. Kästner, S. Müller, V. Ulbricht
  XFEM modelling of inelastic material behaviour and interface failure in textile-reinforced composites.
  Procedia Materials Science 2, pp. 43-51, 2013. [URL]
• J.-S. Pap, M. Kästner, S. Müller, I. Jansen
  Experimental characterization and simulation of the mechanical behavior of an epoxy adhesive for bonding textile-reinforced thermoplastic composites.
  Procedia Materials Science 2, pp. 234-242, 2013. [URL]
• M. Kästner, M. Obst, J. Brummund, K. Thielsch, V. Ulbricht
  Inelastic material behavior of polymers – experimental characterization, formulation and implementation of a material model.
  Mech. Mater. 52, pp. 40-57, 2012. [URL]
• S. Müller, M. Kästner, J. Brummund, V. Ulbricht
  A nonlinear fractional viscoelastic material model for polymers.
  Comp. Mat. Sci. 50, pp. 2938-2949, 2011. [URL]
• M. Kästner, G. Haasemann, V. Ulbricht
  Multiscale XFEM-modelling and simulation of the inelastic material behaviour of textile-reinforced polymers.
  Int. J. Numer. Meth. Engng. 86, pp. 477-498, 2011. [URL]
• G. Haasemann, M. Kästner, S. Prüger, V. Ulbricht
  Development of a quadratic finite element formulation based on the XFEM and NURBS.
  Int. J. Numer. Meth. Engng. 86, pp. 598-617, 2011. [URL]
• M. Kästner
  Skalenübergreifende Modellierung und Simulation des mechanischen Verhaltens von textilverstärktem Polypropylen unter Nutzung der XFEM.
  Dissertation TU Dresden, 2010. [URL]
• M. Kästner, S. Blobel, M. Obst, K. Thielsch, V. Ulbricht
  Experimental Characterization of the Viscoplastic Material Behaviour of Thermosets and Thermoplastics.
  Appl. Mech. Mater. 24-25, S. 195-200, 2010. [URL]
• S. Blobel, K. Thielsch, M. Kästner, V. Ulbricht
  Application of Real-Time Photoelastic Analysis to Single Fibre Fragmentation Tests.
  Appl. Mech. Mater. 24-25, pp. 239-244, 2010. [URL]
• G. Haasemann, M. Kästner, V. Ulbricht
  A new modelling approach based on binary model and X-FEM to investigate the mechanical behaviour of textile-reinforced composites.
  CMES Comp. Model. Eng. 41, pp. 35-58, 2009. [URL]
• M. Kästner, G. Haasemann, J. Brummund, V. Ulbricht
  Computation of effective stiffness properties for textile-reinforced composites using X-FEM.
  In: P.P. Camanho, C.G. Davila, S.T. Pinho, J.J.C. Remmers (Ed.) Mechanical Response of Composites, Springer, 2008. [URL]
• V. Ulbricht, M. Kästner, T. Lichtneckert, J. Brummund, K.-H. Modler, W. Hufenbach, R. Böhm, C. Ebert, B. Grüber, A. Langkamp, M. Lepper
  Modelling of the effective material behaviour of textile reinforced composites.
  Journal of Plastics Technology 4, pp. 1-30, 2008.
• G. Haasemann, M. Kästner, V. Ulbricht
  Multi-scale modelling and simulation of textile-reinforced materials.
  CMC - Comput. Mater. Con. 3, pp. 131-146, 2006. [URL]

Selected Talks and Proceedings

• M. Kästner, P. Hennig, P.Metsch
  Adaptive Isogeometric Analysis of Phase-Field Models.
  ECCOMAS Congress 2016, Crete, 2016.
• M. Kästner, S. Müller, P. Metsch
  Adaptive isogeometric phase-field modelling based on hierarchical NURBS.
  3rd International Conference on Isogeometric Analysis, Trondheim, 2015.
• M. Kästner
  Multiscale Finite Element Modelling of Magnetorheological Elastomers.
  École Polytechnique, Paris, 2015.
• M. Kästner
  Isogeometric analysis of the Cahn-Hilliard phase-field model.
  University of Glasgow, 2014.
• M. Kästner, S. May, S. Müller, V. Ulbricht
  Hybrid IGAFEM/IGABEM for two-dimensional magnetic and magneto-mechanical field problems.
  ECCM V, 2014.
• M. Kästner
  Numerical modelling of magnetoactive composites.
  University of Glasgow, 2014.
• M. Kästner, C. Spieler, S. Müller, A. Avram, V. Ulbricht
  XFEM modeling and multiscale analysis of magnetoactive composites.
  XFEM thematic conference, 2013.
• M. Kästner, C. Spieler, P. Metsch, V. Ulbricht
  XFEM modeling and homogenization of magnetoactive composites.
  GAMM Multiscale Seminar Dresden, 2013.
• M. Kästner
  Multiscale modeling and simulation of the material behavior of fibre reinforced composites.
  Aachen-Dresden International Textile Conference, 2012.
• M. Kästner, S. Müller, V. Ulbricht
  Efficient multiscale modelling of hybrid structures.
  MSE 2012, Darmstadt.
• M. Kästner, C. Spieler, J. Goldmann, M. Obst, J. Brummund, V. Ulbricht
  Multiscale modeling of magnetoactive composite materials
  ECCOMAS 2012, Wien.
• M. Kästner, J. Goldmann, C. Lux, S. Müller, J. Brummund, V. Ulbricht
  XFEM-Analysis of Stationary Magnetic Fields and Magneto-Structural Coupling.
  XFEM2011, Cardiff, 2011.
• M. Kästner, M. Obst, J. Brummund, V. Ulbricht
  Multiscale modelling of the effective viscoplastic material behaviour of textile-reinforced composites using XFEM.
  Proc. Appl. Math. Mech. 10, pp. 297-298, 2010.
• M. Kästner, S. Blobel, M. Obst, K. Thielsch, V. Ulbricht
  Experimental Characterization of the Viscoplastic Material Behaviour of Thermosets and Thermoplastics.
  BSSM, Liverpool, 2010.
• M. Kästner, J. Brummund, V. Ulbricht
  Multiscale Modelling of the Effective Viscoplastic Material Behaviour of Textile-Reinforced Polymers using XFEM.
  ECCM, 2010.
• M. Kästner, G. Haasemann, V. Ulbricht
  Multiscale modelling of the mechanical material behaviour of textile-reinforced thermoplastics using a combination of XFEM and Binary Model
  XFEM thematic conference, 2009.
• M. Kästner, M. Obst, J. Brummund, V. Ulbricht
  Influence of the nonlinear matrix material behaviour on the effective properties of textile-reinforced thermoplastics.
  Proc. Appl. Math. Mech. 9, pp. 341-342, 2009.
• M. Kästner, J. Brummund, V. Ulbricht
  Analysis of the effective nonlinear material behaviour of texile-reinforced composites using XFEM.
  RELMAS, 2008.
• M. Kästner, M. Obst, K. Thielsch, J. Brummund, V. Ulbricht
  Nichtlineares Materialverhalten von Polypropylen – Experimente und Modellbildung.
  AK Stoffgesetze München, 2008.
• M. Kästner, M. Obst, K. Thielsch, J. Brummund, V. Ulbricht
  Computation of the effective nonlinear material behaviour of composites using X-FEM – Analysis of the matrix material behavior.
  GAMM-Jahrestagung, 2008.
• M. Kästner, G. Haasemann, V. Ulbricht
  Computation of effective stiffness properties for textile-reinforced composites using XFEM.
  COMPOSITES Porto, 2007.
• M. Kästner, G. Haasemann, V. Ulbricht
  Efficient modelling strategies for textile-reinforced composites.
  ICCE14, 2006.
• M. Kästner, V. Ulbricht
  Homogenization of fibre composites using X-FEM.
  Proc. Appl. Math. Mech. 6, pp. 489-490, 2006.