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Article Dans Une Revue Journal of the Mechanics and Physics of Solids Année : 2013

On the energy-minimizing strains in martensitic microstructures-Part 2: Geometrically linear theory

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Michaël Peigney

Résumé

This paper addresses the theoretical prediction of the quasiconvex hull of energy-minimizing (or stress-free) strains that can be realized by martensitic microstructure. Polyconvexification and related notions are used to derive some upper bounds (in the sense of inclusion). Lower bounds are obtained from lamination techniques. The geometrically linear setting (infinitesimal strains) is considered in the present Part 2. Three-, four-, and twelve-well problems are considered. In particular, the structure of the set of energy-minimizing strains in cubic to monoclinic transformations is investigated in detail. That investigation is notably supported by three-dimensional vizualisations obtained by considering four-well restrictions.
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hal-00813545 , version 1 (18-09-2015)

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Michaël Peigney. On the energy-minimizing strains in martensitic microstructures-Part 2: Geometrically linear theory. Journal of the Mechanics and Physics of Solids, 2013, 61 (6), pp.1511-1530. ⟨10.1016/j.jmps.2012.12.011⟩. ⟨hal-00813545⟩
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