Ball, J. M.; James, R. D. Proposed experimental tests of a theory of fine microstructure and the two-well problem. (English) Zbl 0758.73009 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) Cited in 2 ReviewsCited in 202 Documents 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 PDF BibTeX XML Cite \textit{J. M. Ball} and \textit{R. D. James}, Philos. Trans. R. Soc. Lond., Ser. A 338, No. 1650, 389--450 (1992; Zbl 0758.73009) Full Text: DOI