Stability of microstructures for some martensitic transformations

Authors:
Y. Efendiev;M. Luskin
Affiliations:
Department of Mathematics Texas A & M University College Station, TX 77843-3368, U.S.A.;School of Mathematics, University of Minnesota 206 Church Street, S.E. Minneapolis, MN 55455, U.S.A.
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2001

Citing 11
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Abstract

We analyze the stability of laminated microstructure for martensitic crystals that undergo cubic to trigonal, orthorhombic to triclinic, and trigonal to monoclinic transformations. We show that the microstructure is unique and stable for all laminates except when the lattice parameters satisfy certain identities.