The Computation of Martensitic Microstructure with Piecewise Laminates

Authors:
Martin Kružík;Mitchell Luskin
Affiliations:
Center of Advanced European Studies And Research, Friedensplatz 16, D-53111 Bonn, Germany. Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic, Pod vodár ...;School of Mathematics, University of Minnesota, 206 Church St. SE, Minneapolis, Minneapolis 55455, U.S.A. luskin@math.umn.edu
Venue:
Journal of Scientific Computing
Year:
2003

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Abstract

We present a numerical method for the approximation of microstructure in martensitic crystals by piecewise laminates, and we give computational results for several three-dimensional models of martensitic microstructure by using piecewise second-order laminates.