TY - GEN A1 - Mielke, Alexander A1 - Paoli, Laetitia A1 - Petrov, Adrien T1 - On the existence and approximation for 3D model of thermally-induced phase transformation in shape-memory alloys N2 - This paper deals with a three-dimensional model for thermal stress-induced transformations in shape-memory materials. Microstructure, like twined martensites, is described mesoscopically by a vector of internal variables containing the volume fractions of each phase. We assume that the temperature variations are prescribed. The problem is formulated mathematically within the energetic framework of rate-independent processes. An existence result is proved and temporal regularity is obtained in case of uniform convexity. We study also space-time discretizations and establish convergence of these approximations. KW - Shape-memory materials KW - rate-independent energetic formulation KW - temperature-induced phase transformation KW - differential inclusion KW - convergence for space-time discretization Y1 - 2008 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/519 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-5198 ER -