Approximation of a martensitic laminate with varying volume fractions

Bo Li, Mitchell Luskin

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


We give results for the approximation of a laminate with varying volume fractions for multi-well energy minimization problems modeling martensitic crystals that can undergo either an orthorhombic to monoclinic or a cubic to tetragonal transformation. We construct energy minimizing sequences of deformations which satisfy the corresponding boundary condition, and we establish a series of error bounds in terms of the elastic energy for the approximation of the limiting macroscopic deformation and the simply laminated microstructure. Finally, we give results for the corresponding finite element approximation of the laminate with varying volume fractions.

Original languageEnglish (US)
Pages (from-to)67-87
Number of pages21
JournalMathematical Modelling and Numerical Analysis
Issue number1
StatePublished - 1999


  • Error estimate
  • Finite element
  • Martensitic transformation
  • Simple laminate
  • Volume fraction
  • Young measure


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