Numerical Approach to Double Well Problems

Authors:
Martin Kruzík
Affiliations:
-
Venue:
SIAM Journal on Numerical Analysis
Year:
1998

Citing 0
Cited 3

The Computation of Martensitic Microstructure with Piecewise Laminates

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Global optimization numerical strategies for rate-independent processes

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Stability of microstructures for some martensitic transformations

Mathematical and Computer Modelling: An International Journal

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Abstract

This paper deals with two-sided numerical energy estimates of a solution to two-dimensional double well problems. These estimates are obtained by computing the energy appropriate for the polyconvex envelope and an upper estimate of the energy appropriate for the rank-one convex envelope of the energy density. Examples of computed laminated microstructures are shown.