DFG Research Center MATHEON Project C18: Analysis and numerics of multidimensional models for elastic phase transformations in shapememory 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 multifunctional 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 shapememory alloys, where the desired shapememory 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 multifunctional materials and structures. Using mathematical analysis we develop suitable threedimensional models based on the recently available material constants for NiTi or CuAlNi. Moreover, reliable numerical algorithms will be constructed for threedimensional settings to allow for quantitative predictions of the time evolution of the deformations of workpieces with complex shapes and under complex loading conditions.Collaborations:
 Ferdinando Auricchio, Università di Pavia, Italy
 Gilles Francfort, Université ParisNord, France
 Adriana Garroni, Università di Roma "La Sapienza" , Italy
 Maria Gokieli, ICM, University of Warsaw, Poland
 Sanjay Govindjee, University of California Berkeley, USA
 Klaus Hackl, RuhrUniversität Bochum, Bochum, Germany
 Martin Kružík, Institute of Information Theory and Automation, Academy of Sciences, Czech Republic
 Paolo Mariano, DICeA, University of Florence, Italy
 Joao Martins, IST, University of Lisbon, Portugal
 Manuel Monteiro Marques, CMAF, University of Lisbon, Portugal
 Laetitia Paoli, Laboratoire de Mathématiques de l'Université de SaintEtienne, France
 Tomás Roubíček, Mathematical Institute Charles University, Czech Republic
 Piotr Rybka, ICM, University of Warsaw, Poland
 Ulisse Stefanelli, Istituto di Matematica Applicata e Tecnologie Informatiche, Pavia, Italy
Publications:
Refereed Articles  [J28]  A. Mielke. Generalized PrandtlIshlinskii operators arising from homogenization and dimension reduction. Phys. B, 407 (2012) pp. 13301335. 

[J27]  A. Mielke, T. Roubíček, M. Thomas From damage to delamination in nonlinearly elastic materials at small strains. J. Elasticity, 109 (2012), no. 2, 235273. 

[J26]  S. Bartels, A. Mielke, T. Roubíček. Quasistatic smallstrain plasticity in the limit of vanishing hardening and its numerical approximation. SIAM J. Numer. Anal., 50 (2012) pp. 951976. 

[J25]  L. Paoli, A. Petrov.
Thermodynamics of multiphase problems in viscoelasticity. GAMM Mitteilungen, 35 (2012), no. 1, 7590. 

[J24]  L. Paoli, A. Petrov.
Global existence result for thermoviscoelastic problems with hysteresis. Nonlinear Anal.Real World Appl., 13 (2012), no. 2, 524542. 

[J23]  A. Mielke. Formulation of thermoelastic dissipative material behavior using GENERIC. Contin. Mech. Thermodyn., 23:233256, 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., 199:12421253, 2010. 

[J20]  A. Mielke, L. Paoli, A. Petrov, U. Stefanelli. Error estimates for spacetime discretizations of a rateindependent variational inequality. SIAM J. Numer. Anal., 48(5):16251646, 2010. 

[J19]  D. Knees, C. Zanini, A. Mielke. Crack growth in polyconvex materials. Special Issue of Physica D: Nonlinear phenomena., 239:10071021, 2010. 

[J18] 
G. Bouchitté, A. Mielke, T. Roubíček. A completedamage problem at small strains. ZAMP Z. Angew. Math. Phys., 60:205236, 2009. 

[J17]  A. Mielke, F. Rindler. Reverse approximation of energetic solutions to rateindependent processes. Nonl. diff. Eqns. Appl. (NoDEA), 16(1):1740, 2009. 

[J16]  A. Mielke, L. Paoli, A. Petrov. On the existence and approximation for 3D model of thermallyinduced phase transformation in shapememory alloys. SIAM J. Appl. Anal., 41(4):13881414, 2009. 

[J15]  A. Mielke, T. Roubíček. Numerical approaches to rateindependent processes and applications in inelasticity. M2AN Math. Model. Numer. Anal., 43:399428, 2009. 

[J14]  A. Petrov, M. Schatzman. Mathematical results on existence for viscoelastodynamic problems with unilateral constraints. SIAM J. Appl. Anal., 40(5):18821904, 2009. 

[J13]  D. Knees. Short note on global spatial regularity in elastoplasticity with linear hardening. Calc. Var. Partial Differ. Equ., 36:611625, 2009. 

[J12]  A. Mielke, A. Petrov, J.A.C. Martins. Convergence of solutions to kinetic variational inequality in the rateindependent quasistatic limit. J. Math. Anal. Appl., 343:10071021, 2008. 

[J11]  J.A.C. Martins, M.D.P. Monteiro Marques,
A. Petrov. On the stability of elasticplastic systems with hardening. J. Math. Anal. Appl., 343:10071021, 2008. 

[J10]  A. Mielke, T. Roubíček, U. Stefanelli. Gammalimits and relaxations for rateindependent evolutionary problems. Calc. Var. Part. Diff. Equ., 31:387416, 2008. 

[J9]  F. Auricchio, A. Mielke, U. Stefanelli. A rateindependent model for the isothermal quasistatic evolution of shapememory materials. M3AS Math. Models Meth. Appl. Sci., 18(1):125164, 2008. 

[J8]  A. Mielke, A. Petrov. Thermally driven phase transformation in shapememory alloys. Adv. Math. Sci. Appl., 17:160182, 2007. 

[J7]  A. Mielke. A model for temperatureinduced phase transformations in finitestrain elasticity. IMA J. Appl. Math., 72(5):644658, 2007. 

[J6]  A. Petrov, J.A.C. Martins, M.D.P. Monteiro Marques. Mathematical results on the stability of quasistatic paths of elasticplastic systems with hardening. Topics on mathematics for smart systems, 167182, World Sci. Publ., Hackensack, NJ, 2007. 

[J5]  A. Mielke, A.M. Timofte. Modeling and analytical study for ferroelectric materials. Mech. Advanced Materials Structures, 13:457462, 2006. 

[J4]  M. Kružík, A. Mielke, T. Roubíček.
Modelling of microstructure and its evolution in shapememoryalloy single cristals, in particular in CuAlNi. Meccanica, 40:389418, 2005. 

[J3]  A. Mainik, A. Mielke.
Existence results for energetic models for rateindependent systems. Calc. Var. PDEs, 22:7399, 2005. 

[J2]  A. Mielke.
Deriving new evolution for microstructures via relaxation of variational incremental problems. Comput. Methods Appl. Mech. Engrg., 193:50955127, 2004. 

[J1]  A. Mielke.
Existence of minimizers in incremental elastoplasticity with finite strains. SIAM J. Math. Analysis, 36: 384404, 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  [B3]  Dal Maso, A. Mielke, U. Stefanelli, editors. Rateindependent Evolutions, 6 (No. 1) of Discrete and Continuous Dynamical Systems  Series S, American Institute of Mathematical Sciences, Springfield, 2013, 275 pages, (conference published). 
[B2]  Analysis and numerics for rateindependent processes.
Oberwolfach Rep., 4(1):591665, 2007. Abstracts from the workshop held February 25March 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, SpringerVerlag, Berlin, 2006. 

Proceedings  [P10]  D. Knees, R. Kornhuber, CH. Kraus, A. Mielke, J. Sprekels. C3  Phase transformation and separation in solids MATHEON  Mathematics for Key Technologies, M. Grötschel, D. Hömberg, J. Sprekels, V. Mehrmann et al., eds., 1 of EMS Series in Industrial and Applied Mathematics, European Mathematical Society Publishing House, Zurich, 2014, pp. 189203. 
[P9]  L. Paoli, A. Petrov. Global existence result for rateindependent processes in viscous solids with heat transfer. PAMM, 11 (3): 685686, 2011, DOI: 10.1002/pamm201110332. 

[P8]  A. Mielke, M. Ortiz. Microstructures in Solids: From Quantum Models to Continua. Oberwolfach Reports, 7(1):733798, 2010. 

[P7]  A. Mielke, L. Paoli , A. Petrov, U. Stefanelli. Error bounds for spacetime discretizations of a 3D model for shapememory 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, 185197, 2010. 

[P6]  A. Mielke, L. Paoli, A. Petrov, U. Stefanelli. Spacetime 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):521522, 2010. 

[P4]  A. Petrov, M. Schatzman. On the existence for viscoelastodynamic problems with unilateral boundary conditions. PAMM, 9(1):527528, 2009. 

[P3]  A. Mielke, L. Paoli, A. Petrov. Existence and approximation for a 3D model of thermallyinduced phase transformations in shapememory alloys. PAMM, 8(1):1039510396, 2008. 

[P2]  A. Petrov. On the convergence for kinetic variational inequality to quasistatic variational inequality with application to elasticplastic systems with hardening. PAMM, 7(1):40600034060004, 2007. 

[P1]  A. Petrov. Thermally driven phase transformation in shapememory alloys. MFO Workshop on Analysis and Numerics for RateIndependent Processes. Oberwolfach Reports, No. 11/2007:605607, 2007. 

Reports  [Re3]  Report on the project C18 (Period 02/200908/2011). 
[Re2]  Report on the project C18 (Period 03/200802/2010).  
[Re1]  Report on the project C18 (Period 09/200603/2008).  
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 rateindependent processes. Certraro (Cosenza), Italy. June 22June 28, 2008 

[L2]  A. Mielke.
Warum sind moderne Materialien schlau? MathInsideMathematik (nicht nur) für Schüler. Urania, Berlin, Germany. March 20, 2007. 

[L1]  A. Mielke.
Lipschitz lectures. Modelling and analysis of rateindependent processes. Rheinische FriedrichWilhelms University, Institute for Applied Mathematics, Bonn, Germany. January 723, 2007. 

Talks  [T60]  A. Mielke.
Rateindependent plasticity as vanishingviscosity limit for wiggly energy landscape Workshop on Evolution Problems for Material Defects: Dislocations, Plasticity, and Fracture, September 30  October 4, 2013, International School of Advanced Studies (SISSA), Trieste, Italy, September 30, 2013. 
[T59]  M. Thomas.
A model for rateindependent, brittle delamination in thermoviscoelasticity International Workshop on Evolution Problems in Damage, Plasticity, and Fracture: Mathematical Models and Numerical Analysis, Sept. 1921, 2012, Udine, Italy. 

[T58]  M. Thomas.
A model for rateindependent, brittle delamination in thermoviscoelasticity PDEs for multiphase advanced materials (ADMAT2012), Sept. 1721, 2012, Cortona, Italy. 

[T57]  A. Mielke.
Smallstrain elastoplasticity is the evolutionary Gamma limit of finitestrain 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 viscoelastic materials with thermal effects 12th International Conference on Free Boundary Problems: Theory and Applications, June 1115, 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 MicromagneticsHMM2011, Session ``Mathematics of Hysteresis II'', May 911, 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 rateindependent processes in viscous solids with heat transfer. 82th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2009), April 1821, 2011, Universitätt Graz, Austria, April 20, 2011. 

[T51]  A. Mielke. Rateindependent plasticity as Gamma limit of a slow viscous gradient flow for wiggly discrete energy. ZweiStädteKolloquium zur Analysis, FriedrichAlexanderUniversität ErlangenNürnberg, Fachbereich Mathematik, November 26, 2010. 

[T50]  A. Mielke. Rateindependent 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 shapememory alloys. BIRS Workshop 10w5075, RateIndependent Systems: Modeling, Analysis and Computation, August 29September 3, 2010, Banff International Research Station, Canada, September 2, 2010. 

[T48]  A. Mielke. The GENERIC formulation for dissipative temperaturedependent materials. 17th International Symposium on Trends in Applications of Mathematics to Mechanics (STAMM 2010), August 30September 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 finitestrain elastoplasticity. SIAM Conference on Mathematical Aspects of Materials Science, May 2326, 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 2226, 2010, Universitätt Karlsruhe, March 24, 2010. 

[T44]  A. Mielke. Rateindependent 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 vanishingviscosity of rateindependent processes. Workshop "Material Theories", December 1418, 2009, Mathematisches Forschungsinstitut Oberwolfach. December 15, 2009 

[T42]  A. Mielke. Parabolic equations in the vanishingviscosity of rateindependent processes. Workshop "Material Theories", November 30December 4, 2009, WIAS. December 4, 2009 

[T41]  A. Mielke. Finitestrain viscoplasticity. ISIMM Workshop on Mathematical Problems of Solids Mechanics, October 89, 2009, Technische Universitätt Darmstadt, Fachbereich Mathematik. October 8, 2009 

[T40]  A. Petrov. On the existence and error bounds for spacetime discretizations of a 3D model for shapememory 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 711, 2009, Lisbon, Portugal. September 8, 2009. 

[T38]  A. Mielke.
Vanishingviscosity solutions for rateindependent energetic system. Workshop on EnergyDriven Systems August 2729, 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 2122, 2009, Università degli studi di Pavia, Dipartimento di Matematica ''Felice Casorati'', Italy, May 22, 2009. 

[T36]  A. Mielke. BV solutions and parametrized solutions for rateindependent systems. 80th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2009), February 913, 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 913, 2009, Gdansk, Poland. February 10, 2009. 

[T34]  A. Petrov. Errors estimates for spacetime discretizations of rateindependent processes. 8th GAMM Seminar on Microstructures, January 1617, 2009, Regensburg, Germany. January 17, 2009. 

[T33]  A. Mielke.
Construction of solutions for finitestrain plasticity with gradient regularization. IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials, September 2226, 2008, Bochum, Germany. September 26, 2008. 

[T32]  A. Petrov. Errors estimates for spacetime discretizations of a 3D model for shapememory materials. IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials, September 2226, 2008, Bochum, Germany. September 24, 2008. 

[T31]  A. Mielke.
Global energetic solutions for finitestrain plasticity. 16th Symposium on Trends in Applications of Mathematics to Mechanics (STAMM 2008), September 2124, 2008, Trento, Italy. September 22, 2008. 

[T30]  A. Mielke. Lie groups in plasticity at finite strains. Workshop on Applied Dynamics and Geometric Mechanics, July 2125, 2008, Mathematisches Forschungsinstitut Oberwolfach. July 21, 2008. 

[T29]  D. Knees.
On global spatial regularity in elastoplasticity. 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 rateindependent 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 shapememory alloys. Center Days, TU Berlin, April 79, 2008, Germany. April 9, 2008. 

[T25]  A. Mielke.
Wiggly energy landscapes and the origin of rateindependent friction. GAMM 2008, 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics, March 31April 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 31April 4, 2008, Bremen, Germany. April 1, 2008. 

[T23]  A. Petrov. Existence and approximation for 3D model of thermallyinduced phase transformation in shapememory alloys. GAMM 2008, 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics, March 31April 4, Bremen, Germany. April 1, 2008. 

[T22]  A. Mielke. Multiscale modeling for shapememory 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 thermallyinduced phase transformation in shapememory alloys. Workshop MATHEONICM Workshop on Free Boundaries and Material Modelling, March 1718, 2008, WIAS, Berlin, Germany. March 18, 2008. 

[T20]  A. Mielke. Analysis of rateindependent 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 2122, 2008. 

[T18]  D. Knees.
On global spatial regularity in elastoplasticity. Seminar on Material Modeling, WIAS, Berlin, Germany. February 6, 2008. 

[T17]  A. Mielke. Rateindependent pseudoelasticity as vanishingviscosity limit for a chain with random 7th GAMM Seminar on Microstructures, Bochum, Germany. January 2526, 2008. 

[T16]  A. Mielke.
Numerical approaches to rateindependent material models. IUTAM Symposium on Theoritical, Modelling and Computational Aspects of Inelastic Media. University of Cape Town, South Africa. January 1318, 2008. 

[T15]  A. Mielke.
Global existence for rateindependent gradient plasticity at finite strain. Workshop on RateIndependence, Homogenization and Multiscaling. Centro di Ricerca Matematica Ennio De Giorgi, Pisa, Italy. November 1517, 2007. 

[T14]  A. Mielke.
Modelling of rateindependent hysteresis effects in materials. Workshop on Structures of the mechanics of complex bodies. Centro di Ricerca Matematica Ennio De Giorgi, Pisa, Italy. October 16, 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 812, 2007. 

[T12]  A. Mielke.
Existence of energetic solutions in finitestrain plasticity. 6th International Congress on Industrial and Applied Mathematics (ICIAM), minisymposium "Mathematical Aspects of Material Science" ETH Zürich & University of Zürich, Switzerland. July 1620, 2007. 

[T11]  A. Petrov.
On the convergence for kinetic variational inequality to quasistatic variational inequality with application to elasticplastic systems with hardening. 6th International Congress on Industrial and Applied Mathematics (ICIAM). ETH Zürich & University of Zürich, Switzerland. July 1620, 2007. 

[T10]  A. Petrov.
Thermally driven phase transformation in shapememory alloys. WIASMaterialmodellierungsseminar. WIAS, Berlin, Germany. July 24, 2007. 

[T9]  A. Mielke.
Local versus global stability in rateindependent processes. Joint International Meeting UMIDMV, minisymposium "Phase transitions and hysteresis in free boundary problems". Università degli Studi di Perugia, Dipartimento di Matematica e Informatica, Italy. June 1822, 2007. 

[T8]  A. Mielke.
On the energetic formuation of rateindependent 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 1921, 2007. 

[T7]  A. Petrov.
Thermally driven phase transformation in shapememory alloys. Workshop " Analysis and Numerics of RateIndependent Processes. Mathematisches Forschungsinstitut Oberwolfach, Germany. February 26March 2, 2007. 

[T6]  A. Mielke (joint work with
M. Kružík and T. Roubíček).
Modelling of hysteresis in shapememory alloys via microstructure evolution. European Conference on Smart Systems. Roma, Italy. October 2628, 2006. 

[T5]  A. Mielke.
Gamma convergence and relaxation of rateindependent material models. International Conference on Multifield Problems, Minisymposium on Material Modelling and Multiscale Problems. University of Stuttgart, Germany. October 46, 2006. 

[T4]  A. Mielke.
Evolution of microstructures in shapememory alloys. PolishGerman 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 rateindependent material models. BerlinLeipzig 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 1824, 2006. 

[T1]  A. Mielke.
Evolution of microstructures in shapememory alloys. Workshop "Modelling and Analysis of Phase Transformations". Centro di Ricerca Matematica Ennio De Giorgi, Pisa, Italy. January 1921, 2006. 
Other Activities:
Workshop & Conferences  [W10] 
Minisymposium "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 30September 2, 2010. Organized by A. Mielke. 

[W8]  Oberwolfach Conference on
Phase Transitions. Mathematisches Forschungsinstitut Oberwolfach, Germany. May 31June 4, 2009. Organized by A. Mielke, M. Ortiz. 

[W7] 
MATHEONICM Workshop on Free Boundaries and
Material Modeling. WIAS Berlin, Germany. March 1718, 2008. Organized by D. Knees, C. Kraus, A. Mielke. 

[W6] 
Workshop on RateIndependence, Homogenization and Multiscaling. Centro di Ricerca Matematica Ennio De Giorgi, Pisa, Italy. November 1517, 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 812, 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 17, 2007. Organized by Wing Kam Liu, P. M. Mariano, A. Mielke. 

[W3]  Oberwolfach Conference on
Analysis and Numerics for RateIndependent Processes. Mathematisches Forschungsinstitut Oberwolfach, Germany. February 25March 3, 2007. Organized by G. Dal Maso, G. Francfort, A. Mielke, T. Roubíček. 

[W2] 
Sixth GAMM Seminar on Microstructure. WIAS Berlin. January 1213, 2007. Organized by A. Mielke, S. Conti. 

[W1]  PolishGerman Workshop at ICM. Warsaw, Poland. September 78, 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 SaintEtienne, 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 Youngmeasure approach to a quasistaticevolution problem for a phasetransition 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 SaintEtienne, France. A timestepping 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 rateindependent 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 rateindependent 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 SaintEtienne,
France. A velocitybased timestepping scheme for vibroimpact problems .. January 21, 2009. 

[G10]  K. Hackl, RuhrUniversität Bochum, Germany.
Shapememory alloys, energybased models for single and polycrystals. May 14, 2008. 

[G9]  S. Ilic, RuhrUniversität Bochum, Germany.
Application of the multiscale 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 rateindependent processes. February 18, 2008. 

[G6]  L. Paoli,
Laboratoire de Mathématiques de l'Université de SaintEtienne,
France.
The existence and application for 3D model of thermallyinduced phase transformations in shapememory 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.
Rateindependent processes in viscous solids and their thermodynamics. September 12, 2007. 

[G3]  P. Neff, TU Darmstadt, Germany.
Minimale CosseratRotationen und Synthetische Reproduktion einer NanoEinkerbung. August 27, 2007. 

[G2]  L. Paoli,
Laboratoire de Mathématiques de l'Université de SaintEtienne,
France.
Asymptitics for some vibroimpact problem with linear dissipation term. June 13, 2007. 

[G1]  T. Roubíček, Charles University, Mathematical
Institute, Prague, Czech Republic.
Gradient estimates for heat equation with L1data and applications to thermomechanical systems. February 7, 2007. 
Last modified: 20150819 by Pascal Gussmann