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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.

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