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Numerical methods for a nonconvex optimization problem modeling martensitic microstructure
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DOI：10.1137/S1064827595283471.png)
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Using a continuum model of Ericksen and James, we compute a number of fine scale structures commonly observed as a result of martensitic phase transformations. Our results provide numerical validations of the Ericksen-James model. We show that care is needed in the discretization stage if spurious microstructures are to be avoided, A detailed description of the origin and cause of a spurious microstructure is provided. In addition, we present results showing the important effects of mesh orientation and mesh fineness on the formation of microstructure.
Keyword:
nonconvex variational problem
microstructure
minimization
Young measure
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2.6
论文数:
5.1K
被引数:
1.8W
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