Skip to Main content Skip to Navigation
Journal articles

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

Abstract : 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.
Complete list of metadatas

Cited literature [22 references]  Display  Hide  Download

https://hal-enpc.archives-ouvertes.fr/hal-00813545
Contributor : Michael Peigney <>
Submitted on : Friday, September 18, 2015 - 4:06:33 PM
Last modification on : Tuesday, December 8, 2020 - 10:20:37 AM
Long-term archiving on: : Tuesday, December 29, 2015 - 8:44:53 AM

File

art14_part2b_edit2015.pdf
Files produced by the author(s)

Identifiers

Citation

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

Share

Metrics

Record views

341

Files downloads

328