zbMATH — the first resource for mathematics

Proposed experimental tests of a theory of fine microstructure and the two-well problem. (English) Zbl 0758.73009
Some results on the crystallographic theory of martensite are derived. The crystal is modelled as a nonlinear elastic material, with a free- energy function that is invariant with respect to both rigid-body motion and the appropriate crystallographic symmetries. To formulate the experimental tests, a special case of two-well problem is solved. The proposed experimental tests involve the comparison of theoretical predictions with the mechanical response of properly oriented plates subject to simple shear.

74B20 Nonlinear elasticity
74A60 Micromechanical theories
74M25 Micromechanics of solids
74-05 Experimental work for problems pertaining to mechanics of deformable solids
Full Text: DOI