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Computations of needle-like microstructures

Authors
Journal
Applied Numerical Mathematics
0168-9274
Publisher
Elsevier
Publication Date
Volume
39
Issue
1
Identifiers
DOI: 10.1016/s0168-9274(01)00032-0
Keywords
  • Nonquasiconvex
  • Mesh Transformation
  • Twinned Layers
  • Branch
  • Needle-Like Microstructure
  • Interface
  • Metastable State

Abstract

Abstract We report some numerical results on the computation of needle-like microstructures at mesoscopic scale obtained by applying the mesh transformation method, which basically includes a mesh optimization into the finite element approximations, on a nonquasiconvex elastic crystal model. Numerical experiments show that the branched needle-like microstructures can be well resolved near the interfaces between twinned layers of martensite and a single variant of martensite, which are in good qualitative agreement with the physical experiments.

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