Proposed experimental tests of a theory of fine microstructure and the two-well problem. (English) Zbl 0758.73009

Ball, J. M.; James, R. D.

Philos. Trans. R. Soc. Lond., Ser. A 338, No. 1650, 389-450 (1992).

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.

Reviewer: N.Sandru (Bucureşti)

MSC:

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

Keywords:

crystallographic theory; martensite; free-energy function; rigid-body motion; symmetries; mechanical response; simple shear