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Conference Papers Year : 2013

Energy minimizing strains in martensitic microstructures


This communication is concerned with the theoretical prediction of the energy-minimizing (or stress-free) strains that can be realized by martensitic microstructures. Polyconvexification and related notions are used to derive some upper bounds (in the sense of inclusion) on the set of energy-minimizing strains. Lower bounds are obtained from lamination techniques. 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.
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hal-00877461 , version 1 (28-10-2013)


  • HAL Id : hal-00877461 , version 1


Michaël Peigney. Energy minimizing strains in martensitic microstructures. 6th International Symposium on Defect and Material Mechanics, Jul 2013, Nantes, France. ⟨hal-00877461⟩
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