Finite element analysis of a class of stress-free martensitic microstructures

Li, Bo

doi:10.1090/S0025-5718-03-01512-6

Finite element analysis of a class of stress-free martensitic microstructures
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by Bo Li;

Math. Comp. 72 (2003), 1675-1688

DOI: https://doi.org/10.1090/S0025-5718-03-01512-6

Published electronically: April 9, 2003

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Abstract:

This work is concerned with the finite element approximation of a class of stress-free martensitic microstructures modeled by multi-well energy minimization. Finite element energy-minimizing sequences are first constructed to obtain bounds on the minimum energy over all admissible finite element deformations. A series of error estimates are then derived for finite element energy minimizers.

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