Research Group of Prof. Dr. M. Griebel
Institute for Numerical Simulation

  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 = { 1},
  pdf = { 1},
  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