Energy minimizing strains in martensitic microstructures

Michaël Peigney (1)

1 msa - Matériaux et Structures Architecturés

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.

Mots clés: phase transformation; microstructures; energy-minimization; lamination; nonlinear bounds

Domaines: Mécanique des solides [physics.class-ph]; Mécanique des solides [physics.class-ph]

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