@Article{ Arndt.Griebel.Roubicek:2003, author = {M.~Arndt and M.~Griebel and T.~Roub\'\i\v{c}ek}, title = {Modelling and numerical simulation of martensitic transformation in shape memory alloys}, journal = {Continuum Mechanics and Thermodynamics}, year = {2003}, volume = {15}, number = {5}, pages = {463-485}, ps = {http://wissrech.ins.uni-bonn.de/research/pub/arndt/CMT1505463.ps.gz} , pdf = {http://wissrech.ins.uni-bonn.de/research/pub/arndt/CMT1505463.pdf} , annote = {article,C4,multi}, note = {Also as Preprint No.~26, SFB 611, University of Bonn}, 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 microscopical, continu\-um-mechanical level by partial differential equations. Here a homogeneous degree-1 dissipation potential is involved which can reflect specific energies needed for rate-independent phase transformations. An interface energy is incorporated by a nonlocal term, and hard-device loading is considered. After setting up the model and specifying its energy balance properties, three-dimensional numerical experiments for the cubic-to-tetragonal transformation in an InTl single crystal are presented which demonstrate geometrical/material interactions under tensile and shear loading.} }