Proposed experimental tests of a theory of fine microstructure and the two-well problem

摘要: Predictions are made based on an analysis of a new nonlinear theory martensitic transformations introduced by the authors. The crystal is modelled as elastic material, with free-energy function that invariant respect to both rigid-body rotations and appropriate crystallographic symmetries. predictions concern primarily two-well problem, determining all possible energy-minimizing deformations can be obtained two coherent macroscopically unstressed variants martensite. set macroscopic completely determined lattice parameters material. For certain boundary conditions total free energy does not attain minimum, finer oscillations minimizing sequences interpreted corresponding microstructure. amenable experimental tests. proposed tests involve comparison theoretical mechanical response properly oriented plates subject simple shear. Additional background given for model, compared `linearized' model Khachaturyan, Roitburd Shatalov. There some similarities in theories, but also major discrepancies.