Matheon Logo DFG Research Center MATHEON Project C18:
Analysis and numerics of multidimensional models
for elastic phase transformations in shape-memory alloys

Researchers:

Project Head: Prof. Dr. Alexander Mielke
Research Staff: Pascal Gussmann
Alumni: Dr. Adrien Petrov

Description:

Materials displaying elastic behavior as well as a second feature like magnetizability, polarizability, plasticity or phase transformability can be employed as multi-functional materials. They are used in many modern devices like in actuators and sensors or in medical applications for stents supporting blood vessels. Special classes of such materials are shape-memory alloys, where the desired shape-memory effect is produced by phase transformations of the crystallographic lattice, which are driven either by temperature changes or by applied stresses. This projects concerns the modeling of the hysteretic behavior of such materials to enable future efficient usage and design of such multi-functional materials and structures. Using mathematical analysis we develop suitable three-dimensional models based on the recently available material constants for NiTi or CuAlNi. Moreover, reliable numerical algorithms will be constructed for three-dimensional settings to allow for quantitative predictions of the time evolution of the deformations of workpieces with complex shapes and under complex loading conditions.

Collaborations:

Publications:

Refereed Articles [J28] A. Mielke.
Generalized Prandtl-Ishlinskii operators arising from homogenization and dimension reduction.
Phys. B, 407 (2012) pp. 1330-1335.
[J27] A. Mielke, T. Roubíček, M. Thomas
From damage to delamination in nonlinearly elastic materials at small strains.
J. Elasticity, 109 (2012), no. 2, 235–273.
[J26] S. Bartels, A. Mielke, T. Roubíček.
Quasistatic small-strain plasticity in the limit of vanishing hardening and its numerical approximation.
SIAM J. Numer. Anal., 50 (2012) pp. 951-976.
[J25] L. Paoli, A. Petrov.
Thermodynamics of multiphase problems in viscoelasticity.
GAMM Mitteilungen, 35 (2012), no. 1, 75-90.
[J24] L. Paoli, A. Petrov.
Global existence result for thermoviscoelastic problems with hysteresis.
Nonlinear Anal.-Real World Appl., 13 (2012), no. 2, 524-542.
[J23] A. Mielke.
Formulation of thermo-elastic dissipative material behavior using GENERIC.
Contin. Mech. Thermodyn., 23:233-256, 2011.
[J22] A. Petrov.
Numerical approximation of a viscoelastic equation with unilateral constraints.
Accepted in Comput. Meth. Appl. Mech. Engrg., 2011.
[J21] A. Mielke, T. Roubíček, J. Zeman.
Complete damage in elastic and viscoelastic media and its energetics.
Comput. Methods Appl. Mech. Engrg., 199:1242-1253, 2010.
[J20] A. Mielke, L. Paoli, A. Petrov, U. Stefanelli.
Error estimates for space-time discretizations of a rate-independent variational inequality.
SIAM J. Numer. Anal., 48(5):1625-1646, 2010.
[J19] D. Knees, C. Zanini, A. Mielke.
Crack growth in polyconvex materials.
Special Issue of Physica D: Nonlinear phenomena., 239:1007-1021, 2010.
[J18] G. Bouchitté, A. Mielke, T. Roubíček.
A complete-damage problem at small strains.
ZAMP Z. Angew. Math. Phys., 60:205-236, 2009.
[J17] A. Mielke, F. Rindler.
Reverse approximation of energetic solutions to rate-independent processes.
Nonl. diff. Eqns. Appl. (NoDEA), 16(1):17-40, 2009.
[J16] A. Mielke, L. Paoli, A. Petrov.
On the existence and approximation for 3D model of thermally-induced phase transformation in shape-memory alloys.
SIAM J. Appl. Anal., 41(4):1388-1414, 2009.
[J15] A. Mielke, T. Roubíček.
Numerical approaches to rate-independent processes and applications in inelasticity.
M2AN Math. Model. Numer. Anal., 43:399-428, 2009.
[J14] A. Petrov, M. Schatzman.
Mathematical results on existence for viscoelastodynamic problems with unilateral constraints.
SIAM J. Appl. Anal., 40(5):1882-1904, 2009.
[J13] D. Knees.
Short note on global spatial regularity in elasto-plasticity with linear hardening.
Calc. Var. Partial Differ. Equ., 36:611-625, 2009.
[J12] A. Mielke, A. Petrov, J.A.C. Martins.
Convergence of solutions to kinetic variational inequality in the rate-independent quasi-static limit.
J. Math. Anal. Appl., 343:1007-1021, 2008.
[J11] J.A.C. Martins, M.D.P. Monteiro Marques, A. Petrov.
On the stability of elastic-plastic systems with hardening.
J. Math. Anal. Appl., 343:1007-1021, 2008.
[J10] A. Mielke, T. Roubíček, U. Stefanelli.
Gamma-limits and relaxations for rate-independent evolutionary problems.
Calc. Var. Part. Diff. Equ., 31:387-416, 2008.
[J9] F. Auricchio, A. Mielke, U. Stefanelli.
A rate-independent model for the isothermal quasi-static evolution of shape-memory materials.
M3AS Math. Models Meth. Appl. Sci., 18(1):125-164, 2008.
[J8] A. Mielke, A. Petrov.
Thermally driven phase transformation in shape-memory alloys.
Adv. Math. Sci. Appl., 17:160-182, 2007.
[J7] A. Mielke.
A model for temperature-induced phase transformations in finite-strain elasticity.
IMA J. Appl. Math., 72(5):644-658, 2007.
[J6] A. Petrov, J.A.C. Martins, M.D.P. Monteiro Marques.
Mathematical results on the stability of quasi-static paths of elastic-plastic systems with hardening.
Topics on mathematics for smart systems, 167-182, World Sci. Publ., Hackensack, NJ, 2007.
[J5] A. Mielke, A.M. Timofte.
Modeling and analytical study for ferroelectric materials.
Mech. Advanced Materials Structures, 13:457-462, 2006.
[J4] M. Kružík, A. Mielke, T. Roubíček.
Modelling of microstructure and its evolution in shape-memory-alloy single cristals, in particular in CuAlNi.
Meccanica, 40:389-418, 2005.
[J3] A. Mainik, A. Mielke.
Existence results for energetic models for rate-independent systems.
Calc. Var. PDEs, 22:73-99, 2005.
[J2] A. Mielke.
Deriving new evolution for microstructures via relaxation of variational incremental problems.
Comput. Methods Appl. Mech. Engrg., 193:5095-5127, 2004.
[J1] A. Mielke.
Existence of minimizers in incremental elasto-plasticity with finite strains.
SIAM J. Math. Analysis, 36: 384-404, 2004.
Submitted Articles [S1] L. Paoli, A. Petrov..
Existence result for a class of generalized standard materials with thermomechanical coupling.
WIAS preprint No. 1635, submitted 2011.
[S2] L. Paoli, A. Petrov.
Global existence result for phase transformations with heat transfer in shape memory alloys.
WIAS preprint No. 1608, submitted 2011.
[S3] A. Mielke.
On an evolutionary model for complete damage based on energies and stresses.
WIAS preprint No. 1287, submitted 2007.
Book Chapter & Edited Book [B2] Analysis and numerics for rate-independent processes. Oberwolfach Rep., 4(1):591-665, 2007.
Abstracts from the workshop held February 25-March 3, 2007.
Organized by G. Dal Maso, G. Francfort, A. Mielke and T. Roubíček.
[B1] R. Helmig, A. Mielke, B. I. Wohlmuth, editors.
Multifield Problems in Solids and Fluid Mechanics, volume 28 of Lecture Notes in Applied and Computational Mechanics, Springer-Verlag, Berlin, 2006.
Proceedings [P9] L. Paoli, A. Petrov.
Global existence result for rate-independent processes in viscous solids with heat transfer.
PAMM, 11 (3): 685-686, 2011, DOI: 10.1002/pamm201110332.
[P8] A. Mielke, M. Ortiz.
Microstructures in Solids: From Quantum Models to Continua.
Oberwolfach Reports, 7(1):733-798, 2010.
[P7] A. Mielke, L. Paoli , A. Petrov, U. Stefanelli.
Error bounds for space-time discretizations of a 3D model for shape-memory materials.
Proc. of the IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials, K. Hackl, ed., vol. 21 of IUTAM Bookseries, Springer, 185-197, 2010.
[P6] A. Mielke, L. Paoli, A. Petrov, U. Stefanelli.
Space-time error bounds for an isothermal model for shape memory alloys.
Proceedings of the International Conference on Computational Plasticity: Fundamental and Applications (COMPLAS X). 2009.
[P5] A. Petrov, M. Schatzman.
On the viscoelastodynamic problem with Signorini boundary conditions.
PAMM, 10(1):521-522, 2010.
[P4] A. Petrov, M. Schatzman.
On the existence for viscoelastodynamic problems with unilateral boundary conditions.
PAMM, 9(1):527-528, 2009.
[P3] A. Mielke, L. Paoli, A. Petrov.
Existence and approximation for a 3D model of thermally-induced phase transformations in shape-memory alloys.
PAMM, 8(1):10395-10396, 2008.
[P2] A. Petrov.
On the convergence for kinetic variational inequality to quasi-static variational inequality with application to elastic-plastic systems with hardening.
PAMM, 7(1):4060003-4060004, 2007.
[P1] A. Petrov.
Thermally driven phase transformation in shape-memory alloys.
MFO Workshop on Analysis and Numerics for Rate-Independent Processes.
Oberwolfach Reports, No. 11/2007:605-607, 2007.
Reports [Re3] Report on the project C18 (Period 02/2009-08/2011).
[Re2] Report on the project C18 (Period 03/2008-02/2010).
[Re1] Report on the project C18 (Period 09/2006-03/2008).
Posters [Po1] Poster (2007)
[Po2] Poster (2008)
[Po3] Poster (2009)
[Po4] Poster (2010)

Contributed Talks:

Lectures [L4] A. Mielke.
Warum sind moderne Materialien schlau?
Lange Nacht der Wissenschaften (Long Night of the Sciences) 2009.
WIAS, Berlin. June 13, 2009.
[L3] A. Mielke.
CIME course: Nonlinear PDEs and Applications.
Differential, enegetic and metric formulations for rate-independent processes.
Certraro (Cosenza), Italy. June 22-June 28, 2008
[L2] A. Mielke.
Warum sind moderne Materialien schlau?
MathInside-Mathematik (nicht nur) für Schüler.
Urania, Berlin, Germany. March 20, 2007.
[L1] A. Mielke.
Lipschitz lectures.
Modelling and analysis of rate-independent processes.

Rheinische Friedrich-Wilhelms University, Institute for Applied Mathematics, Bonn, Germany. January 7-23, 2007.
Talks [T59] M. Thomas.
A model for rate-independent, brittle delamination in thermo-visco-elasticity
International Workshop on Evolution Problems in Damage, Plasticity, and Fracture: Mathematical Models and Numerical Analysis, Sept. 19-21, 2012, Udine, Italy.
[T58] M. Thomas.
A model for rate-independent, brittle delamination in thermo-visco-elasticity
PDEs for multiphase advanced materials (ADMAT2012), Sept. 17-21, 2012, Cortona, Italy.
[T57] A. Mielke.
Small-strain elastoplasticity is the evolutionary Gamma limit of finite-strain elastoplasticity
International Symposium on Trends in Applications of Mathematics to Mechanics (STAMM 2012), September 3 - 6, 2012, Israel Institute of Technology (Technion), Faculty of Aerospace Engineering, Haifa, September 4, 2012.
[T56] M. Thomas.
Delamination in visco-elastic materials with thermal effects
12th International Conference on Free Boundary Problems: Theory and Applications, June 11-15, 2012, Frauenchiemsee, Germany.
[T55] A. Petrov.
Vibrations with unilateral constraints: an overview of M. Schatzman contributions - Part II: deformable bodies.
7th International Congress on Industrial and Applied Mathematics (ICIAM 2011), Vancouver, BC, Canada, July 22, 2011.
[T54] A. Petrov.
Sur la modélisation mathématique de matériaux à mémoire de forme
University of Lyon, Camille Jordan Institute, France, May 13, 2011.
[T53] A. Mielke.
Complex hysteresis operators arising from homogenization and dimension reduction.
8th International Symposium on Hysteresis Modelling and Micromagnetics-HMM2011, Session ``Mathematics of Hysteresis II'', May 9-11, 2011, Università degli Studi di Trento, Centro Internazionale per la Ricerca Matematica, Levico Terme, Italy, May 10, 2011.
[T52] A. Petrov.
Global existence result for rate-independent processes in viscous solids with heat transfer.
82th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2009), April 18-21, 2011, Universitätt Graz, Austria, April 20, 2011.
[T51] A. Mielke.
Rate-independent plasticity as Gamma limit of a slow viscous gradient flow for wiggly discrete energy.
Zwei-Städte-Kolloquium zur Analysis, Friedrich-Alexander-Universität Erlangen-Nürnberg, Fachbereich Mathematik, November 26, 2010.
[T50] A. Mielke.
Rate-independent plasticity as Gamma limit of a slow viscous gradient flow for wiggly energies.
Nečas Seminar on Continuum Mechanics, Jindrich Nečas Center for Mathematical Modeling, Prague, Czech Republic, November 8, 2010.
[T49] A. Petrov.
On a 3D model for shape-memory alloys.
BIRS Workshop 10w5075, Rate-Independent Systems: Modeling, Analysis and Computation, August 29-September 3, 2010, Banff International Research Station, Canada, September 2, 2010.
[T48] A. Mielke.
The GENERIC formulation for dissipative temperature-dependent materials.
17th International Symposium on Trends in Applications of Mathematics to Mechanics (STAMM 2010), August 30-September 2, 2010, Technische Universitätt Berlin, Institut für Mechanik, Berlin, September 1, 2010.
[T47] A. Mielke.
Thermodynamical modeling of dissipative solids.
Berliner Oberseminar "Nichtlineare Partielle Differentialgleichungen" (Langenbach Seminar), June 23, 2010.
[T46] A. Mielke.
Approaches to finite-strain elastoplasticity.
SIAM Conference on Mathematical Aspects of Materials Science, May 23-26, 2010, Society for Industrial and Applied Mathematics, Activity Group Mathematical Aspects of Materials Science, Philadelphia, PA, USA, May 23, 2010.
[T45] A. Petrov.
On existence for viscoelastodynamic problems with Signorini boundary conditions.
81th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2009), March 22-26, 2010, Universitätt Karlsruhe, March 24, 2010.
[T44] A. Mielke.
Rate-independent plasticity as Gamma limit of a slow viscous gradient flow for wiggly energies
Partial Differential Equations Seminar, University of Oxford & Queen's College, Centre for Nonlinear PDE, UK, February 22, 2010.
[T43] A. Mielke.
Parabolic equations in the vanishing-viscosity of rate-independent processes.
Workshop "Material Theories", December 14-18, 2009, Mathematisches Forschungsinstitut Oberwolfach. December 15, 2009
[T42] A. Mielke.
Parabolic equations in the vanishing-viscosity of rate-independent processes.
Workshop "Material Theories", November 30-December 4, 2009, WIAS. December 4, 2009
[T41] A. Mielke.
Finite-strain viscoplasticity.
ISIMM Workshop on Mathematical Problems of Solids Mechanics, October 8-9, 2009, Technische Universitätt Darmstadt, Fachbereich Mathematik. October 8, 2009
[T40] A. Petrov.
On the existence and error bounds for space-time discretizations of a 3D model for shape-memory alloys.
Seminar of Centro de Matematica e Aplicacoes Fundamentais (CMAF), Lisbon, Portugal. September 17, 2009.
[T39] A. Petrov.
On the numerical approximation of a viscoelastic problem with unilateral constraints.
7th EUROMECH Solid Mechanics Conference (ESMC 2009), September 7-11, 2009, Lisbon, Portugal. September 8, 2009.
[T38] A. Mielke.
Vanishing-viscosity solutions for rate-independent energetic system.
Workshop on Energy-Driven Systems August 27-29, 2009, Carnegie Mellon University, Center for Nonlinear Analysis, Pittsburgh, PA, USA, August 27, 2009.
[T37] A. Mielke.
Modeling the evolution of complete damage via parametrized Gamma convergence.
International Workshop on Phase Transitions --- Phase Variations 2009, May 21-22, 2009, Università degli studi di Pavia, Dipartimento di Matematica ''Felice Casorati'', Italy, May 22, 2009.
[T36] A. Mielke.
BV solutions and parametrized solutions for rate-independent systems.
80th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2009), February 9-13, 2009, Gdansk, Poland. February 10, 2009.
[T35] A. Petrov.
On existence for viscoelastodynamic problems with unilateral boundary conditions.
80th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2009), February 9-13, 2009, Gdansk, Poland. February 10, 2009.
[T34] A. Petrov.
Errors estimates for space-time discretizations of rate-independent processes.
8th GAMM Seminar on Microstructures, January 16-17, 2009, Regensburg, Germany. January 17, 2009.
[T33] A. Mielke.
Construction of solutions for finite-strain plasticity with gradient regularization.
IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials, September 22-26, 2008, Bochum, Germany. September 26, 2008.
[T32] A. Petrov.
Errors estimates for space-time discretizations of a 3D model for shape-memory materials.
IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials, September 22-26, 2008, Bochum, Germany. September 24, 2008.
[T31] A. Mielke.
Global energetic solutions for finite-strain plasticity.
16th Symposium on Trends in Applications of Mathematics to Mechanics (STAMM 2008), September 21-24, 2008, Trento, Italy. September 22, 2008.
[T30] A. Mielke.
Lie groups in plasticity at finite strains.
Workshop on Applied Dynamics and Geometric Mechanics, July 21-25, 2008, Mathematisches Forschungsinstitut Oberwolfach. July 21, 2008.
[T29] D. Knees.
On global spatial regularity in elasto-plasticity.
Seminar on Material Modeling, WIAS, Berlin, Germany. June 12, 2008.
[T28] A. Mielke.
Analysis and numerics for material models with internal variables.
Seminar on Material Modeling, WIAS, Berlin, Germany. June 3, 2008.
[T27] A. Mielke.
Global existence for rate-independent gradient plasticity at finite strain.
Langenbach Seminar, WIAS, Berlin, Germany. May 7, 2008.
[T26] A. Petrov.
C18 - Analysis and numerics of multidimensional models for elastic phase transformations in shape-memory alloys.
Center Days, TU Berlin, April 7-9, 2008, Germany. April 9, 2008.
[T25] A. Mielke.
Wiggly energy landscapes and the origin of rate-independent friction.
GAMM 2008, 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics, March 31-April 4, 2008, Bremen, Germany. April 2, 2008.
[T24] D. Knees.
On the inviscid limit of a model for crack propagation.
GAMM 2008, 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics, March 31-April 4, 2008, Bremen, Germany. April 1, 2008.
[T23] A. Petrov.
Existence and approximation for 3D model of thermally-induced phase transformation in shape-memory alloys.
GAMM 2008, 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics, March 31-April 4, Bremen, Germany. April 1, 2008.
[T22] A. Mielke.
Multiscale modeling for shape-memory alloys: How to describe evolving microstructures in solids.
Graduate School Seminar, Aachen Institute for Advanced Study in Computational Engineering Science, Aachen, Germany. April 21, 2008.
[T21] A. Petrov.
Some mathematical results for a model of thermally-induced phase transformation in shape-memory alloys.
Workshop MATHEON-ICM Workshop on Free Boundaries and Material Modelling, March 17-18, 2008, WIAS, Berlin, Germany. March 18, 2008.
[T20] A. Mielke.
Analysis of rate-independent material models (4 lectures).
Nečas Center for Mathematical Modelling and Institute of Information Theory and Automation, Prague, Czech Republic. March 3, 2008.
[T19] A. Mielke.
Modeling of multifunctional materials: how to describe evolving microstructures in solids.
Workshop on Mathematics for Key Technologies and Innovation, Warsaw, Poland. February 21-22, 2008.
[T18] D. Knees.
On global spatial regularity in elasto-plasticity.
Seminar on Material Modeling, WIAS, Berlin, Germany. February 6, 2008.
[T17] A. Mielke.
Rate-independent pseudo-elasticity as vanishing-viscosity limit for a chain with random
7th GAMM Seminar on Microstructures, Bochum, Germany. January 25-26, 2008.
[T16] A. Mielke.
Numerical approaches to rate-independent material models.
IUTAM Symposium on Theoritical, Modelling and Computational Aspects of Inelastic Media.
University of Cape Town, South Africa. January 13-18, 2008.
[T15] A. Mielke.
Global existence for rate-independent gradient plasticity at finite strain.
Workshop on Rate-Independence, Homogenization and Multiscaling.
Centro di Ricerca Matematica Ennio De Giorgi, Pisa, Italy. November 15-17, 2007.
[T14] A. Mielke.
Modelling of rate-independent hysteresis effects in materials.
Workshop on Structures of the mechanics of complex bodies.
Centro di Ricerca Matematica Ennio De Giorgi, Pisa, Italy. October 1-6, 2007.
[T13] A. Mielke.
Gamma convergence for evolutionary problems.
Autumn School "Analysis of Multiphase Problems"
Nečas Center for Mathematical Modelling and Institute of Information Theory and Automation, Prague, Czech Republic. October 8-12, 2007.
[T12] A. Mielke.
Existence of energetic solutions in finite-strain plasticity.
6th International Congress on Industrial and Applied Mathematics (ICIAM), minisymposium "Mathematical Aspects of Material Science"
ETH Zürich & University of Zürich, Switzerland. July 16-20, 2007.
[T11] A. Petrov.
On the convergence for kinetic variational inequality to quasi-static variational inequality with application to elastic-plastic systems with hardening.
6th International Congress on Industrial and Applied Mathematics (ICIAM).
ETH Zürich & University of Zürich, Switzerland. July 16-20, 2007.
[T10] A. Petrov.
Thermally driven phase transformation in shape-memory alloys.
WIAS-Materialmodellierungsseminar.
WIAS, Berlin, Germany. July 24, 2007.
[T9] A. Mielke.
Local versus global stability in rate-independent processes.
Joint International Meeting UMI-DMV, minisymposium "Phase transitions and hysteresis in free boundary problems".
Università degli Studi di Perugia, Dipartimento di Matematica e Informatica, Italy. June 18-22, 2007.
[T8] A. Mielke.
On the energetic formuation of rate-independent processes and applications.
6th MULTIMAT meeting, Marie Curie Research Training Network.
Institute of Physics & Mathematical Institute, Academy of Sciences of the Czech Republic, Prague, Czech Republic. April 19-21, 2007.
[T7] A. Petrov.
Thermally driven phase transformation in shape-memory alloys.
Workshop " Analysis and Numerics of Rate-Independent Processes.
Mathematisches Forschungsinstitut Oberwolfach, Germany. February 26-March 2, 2007.
[T6] A. Mielke (joint work with M. Kružík and T. Roubíček).
Modelling of hysteresis in shape-memory alloys via microstructure evolution.
European Conference on Smart Systems.
Roma, Italy. October 26-28, 2006.
[T5] A. Mielke.
Gamma convergence and relaxation of rate-independent material models.
International Conference on Multifield Problems, Minisymposium on Material Modelling and Multiscale Problems.
University of Stuttgart, Germany. October 4-6, 2006.
[T4] A. Mielke.
Evolution of microstructures in shape-memory alloys.
Polish-German Workshop "Modelling Structure Formation".
Interdisciplinary Center for Mathematical and Computational Modelling, University of Warsaw, Poland. September 8, 2006.
[T3] A. Mielke.
Multiple scales and Gamma limits in rate-independent material models.
Berlin-Leipzig Seminar on Analysis and Probability Theory, University of Leipzig, Germany. July 7, 2006.
[T2] A. Mielke.
Gamma convergence for evolutionary problems.
Workshop "Applications of Asymptitic Analysis".
Mathematisches Forschungsinstitut Oberwolfach, Germany. June 18-24, 2006.
[T1] A. Mielke.
Evolution of microstructures in shape-memory alloys.
Workshop "Modelling and Analysis of Phase Transformations".
Centro di Ricerca Matematica Ennio De Giorgi, Pisa, Italy. January 19-21, 2006.

Other Activities:

Workshop & Conferences [W10] Mini-symposium "Vibrations with unilateral constraints".
7th International Congress on Industrial and Applied Mathematics (ICIAM 2011), Vancouver, BC, Canada, July 22, 2011.
Organized by L. Paoli, A. Petrov.
[W9] 17th International Symposium on Trends in Applications of Mathematics to Mechanics (STAMM 2010).
Berlin, Germany August 30-September 2, 2010.
Organized by A. Mielke.
[W8] Oberwolfach Conference on Phase Transitions.
Mathematisches Forschungsinstitut Oberwolfach, Germany. May 31-June 4, 2009.
Organized by A. Mielke, M. Ortiz.
[W7] MATHEON-ICM Workshop on Free Boundaries and Material Modeling.
WIAS Berlin, Germany. March 17-18, 2008.
Organized by D. Knees, C. Kraus, A. Mielke.
[W6] Workshop on Rate-Independence, Homogenization and Multiscaling.
Centro di Ricerca Matematica Ennio De Giorgi, Pisa, Italy. November 15-17, 2007.
Organized by A. Visintin, A. Mielke.
[W5] Autumn School on Analysis of Multiphase Problems.
Institute of Information Theory and Automation Praha, Czech Republic. October 8-12, 2007.
Organized by T. Roubíček, A. Mielke.
[W4] Conference on Structures of the Mechanics of Complex Bodies.
Centro di Ricerca Matematica Ennio De Giorgi, Pisa, Italy. October 1-7, 2007.
Organized by Wing Kam Liu, P. M. Mariano, A. Mielke.
[W3] Oberwolfach Conference on Analysis and Numerics for Rate-Independent Processes.
Mathematisches Forschungsinstitut Oberwolfach, Germany. February 25-March 3, 2007.
Organized by G. Dal Maso, G. Francfort, A. Mielke, T. Roubíček.
[W2] Sixth GAMM Seminar on Microstructure.
WIAS Berlin. January 12-13, 2007.
Organized by A. Mielke, S. Conti.
[W1] Polish-German Workshop at ICM.
Warsaw, Poland. September 7-8, 2006.
Organized by M. Gokieli, M. Niezgodka, A. Mielke.
Guests Talks at WIAS [G29] M. Grmela, Ecole Polytechnique Morèal, Department of Chemical Engineering, Canada.
Geometry of mesoscopic dynamics and thermodynamics.
July 13, 2011.
[G28] R. Rossi, Università degli Studi di Brescia, Dipartimento di Matematica, Italy.
A model for adhesive contact with friction.
May 25, 2011.
[G27] U. Stefanelli, Istituto di Matematica Applicata e Tecnologie Informatiche, Pavia, Italy.
An invitation to shape flows. May 4, 2011.
[G26] R. Rossi, Università degli Studi di Brescia, Dipartimento di Matematica, Italy.
WED functionals for gradient flows in metric spaces: the convex case.
February 21, 2011.
[G25] L. Paoli, Laboratoire de Mathématiques de l'Université de Saint-Etienne, France.
Asymptotic behaviour of a micropolar fluid flow in a thin domain with a rough boundary.
February 9, 2011.
[G24] T. Roubíček, Charles University, Mathematical Institute, Prague, Czech Republic.
Perfect plasticity at small strains and its thermodynamics.
February 2, 2011.
[G23] F. Rindler, Oxford University, Mathematical Institute, United Kingdom.
Minimization problems in the space BD of functions of bounded deformation.
December 16, 2010.
[G22] P. Winkert, Technische Universität Berlin, Institut für Mathematik, Germany.
Multiple solutions for nonlinear elliptic Neumann.
December 15, 2010.
[G21] A. Fiaschi, Istituto di Matematica Applicata e Tecnologie Informatiche, Pavia, Italy.
A Young-measure approach to a quasistatic-evolution problem for a phase-transition model.
May 19, 2010.
[G20] M.D.P. Monteiro Marques, Universidade de Lisboa, Departamento de Matemàtica, Portugal.
On sweeping processes and applications to dynamical and quasistatic problems.
May 19, 2010.
[G19] Ch. Zanini, Università degli Studi di Udine, Dipartimento di Matematica, Italy.
A viscous damage model.
May 5, 2010.
[G18] R. Rossi, Università degli Studi di Brescia, Dipartimento di Matematica, Italy.
Analysis of adhesive contact with thermal effects.
May 5, 2010.
[G17] T. Roubíček, Charles University, Mathematical Institute, Prague, Czech Republic.
Quasistatic plasticity with vanishing hardening.
February 10, 2010.
[G16] L. Paoli, Laboratoire de Mathématiques de l'Université de Saint-Etienne, France.
A time-stepping scheme for multibody dynamics with unilateral constraints.
January 20, 2010.
[G15] P. Dondl, Universitätt Bonn, Hausdorff Zentrum für Mathematik, Germany.
Pinning and depinning of nearly flat martensitic interfaces in a heterogeneous enviroment.
June 24, 2009.
[G14] G. Savaré, University of Pavia, Department of Mathematics, Italy.
Interplay of viscosity and dry friction in rate-independent evolutions with nonconvex energies.
April 22, 2009.
[G13] R. Rossi, Università degli Studi di Brescia, Dipartimento di Matematica, Italy.
Interplay of viscosity and dry friction in rate-independent evolutions with nonconvex energies.
April 22, 2009.
[G12] T. Roubíček, Charles University, Mathematical Institute, Prague, Czech Republic.
Delamination problems.
February 4, 2009.
[G11] L. Paoli, Laboratoire de Mathématiques de l'Université de Saint-Etienne, France.
A velocity-based time-stepping scheme for vibro-impact problems ..
January 21, 2009.
[G10] K. Hackl, Ruhr-Universität Bochum, Germany.
Shape-memory alloys, energy-based models for single and polycrystals.
May 14, 2008.
[G9] S. Ilic, Ruhr-Universität Bochum, Germany.
Application of the multi-scale finite element method to a model of composite material.
May 8, 2008.
[G8] P.M. Mariano, De Giorgi Center Pisa and Università di Firenze, Italy.
Gross scale effects of atomic rearrangements in quasicrystals: some results and open problems.
February 15, 2008.
[G7] T. Roubíček, Charles University, Mathematical Institute, Prague, Czech Republic.
Mathematical techniques for rate-independent processes.
February 18, 2008.
[G6] L. Paoli, Laboratoire de Mathématiques de l'Université de Saint-Etienne, France.
The existence and application for 3D model of thermally-induced phase transformations in shape-memory alloys.
January 29, 2008.
[G5] F. Cagnetti, SISSA Trieste, Italy.
A vanishing viscosity approach to fracture growth in cohesive zone model with prescribed crack paths.
September 12, 2007.
[G4] T. Roubíček, Charles University, Mathematical Institute, Prague, Czech Republic.
Rate-independent processes in viscous solids and their thermodynamics.
September 12, 2007.
[G3] P. Neff, TU Darmstadt, Germany.
Minimale Cosserat-Rotationen und Synthetische Reproduktion einer Nano-Einkerbung.
August 27, 2007.
[G2] L. Paoli, Laboratoire de Mathématiques de l'Université de Saint-Etienne, France.
Asymptitics for some vibro-impact problem with linear dissipation term.
June 13, 2007.
[G1] T. Roubíček, Charles University, Mathematical Institute, Prague, Czech Republic.
Gradient estimates for heat equation with L1-data and applications to thermomechanical systems.
February 7, 2007.

Last modified: 2013-06-04 by Pascal Gussmann