Pattern formation in Ferroelastic Transitions

摘要: We study pattern formation in ferroelastic materials using the Ginzburg–Landau approach. Since transitions are driven by strain, nonlinear elastic free energy is expressed as an expansion appropriate (i.e., order parameter) strain variables. However, displacement fields real independent variables, whereas components of tensor related to each other through compatibility relations. These constraints manifest anisotropic long-range interaction which drastically influences underlying microstructure. The evolution microstructure demonstrated for (i) a hexagonal-to-orthorhombic transition strain-based approach with explicit interactions; and (ii) cubic-to-tetragonal solving force-balance equations fields.