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Digital Object Identifier (DOI) 10.1007/s00161-003-0127-3 Continuum Mech. Thermodyn. (2003) 15: 463485

Summary: Digital Object Identifier (DOI) 10.1007/s00161-003-0127-3
Continuum Mech. Thermodyn. (2003) 15: 463­485
Original article
Modelling and numerical simulation of martensitic transformation
in shape memory alloys
M. Arndt1
, M. Griebel1
, T. Roub´icek2,3
1 Institut f¨ur Angewandte Mathematik, Rheinische Friedrich-Wilhelms-Universit¨at Bonn,
Wegeler Straße 6, 53115 Bonn, Germany
2 Mathematical Institute, Charles University, Sokolovsk´a 83, 186 75 Praha 8, Czech Republic
3 Institute of Information Theory and Automation, Academy of Sciences,
Pod vod´arenskou vez´i 4, 182 08 Praha 8, Czech Republic
Received June 27, 2002 / Accepted March 18, 2003
Published online June 27, 2003 ­ © Springer-Verlag 2003
Communicated by S. Seelecke
Abstract. We consider the evolution of martensitic fine structures in shape memory alloys
which undergo an isothermal phase-transformation. This process is modelled on a microscop-
ical, continuum-mechanical level by partial differential equations. Here a homogeneous degree-1
dissipation potential is involved which can reflect specific energies needed for rate-independent


Source: Arndt, Marcel - School of Mathematics, University of Minnesota
Bebendorf, Mario - Institut für Numerische Simulation, Universität Bonn


Collections: Computer Technologies and Information Sciences; Mathematics