Reversible temperature- and stress-induced martensitic transitions in crystals

Abstract eng:
Temperature-dependent atomic potentials and path-following and bifurcation techniques are used to solve the nonlinear equilibrium equations for a perfect, infinite, periodic bi-atomic crystal to find temperature- and stress-induced martensitic phase transformations. A uniaxial Biot stress lowers the symmetry of the problem and leads to a large number of stable equilibrium paths. To determine which ones are possible reversible martensitic transformations, we use the (kinematic) concept of the maximal Ericksen–Pitteri neighborhood (max EPN) to select those equilibrium paths with lattice deformations that are closest, with respect to lattice-invariant shear, to the austenite phase and thus capable of a reversible transformation. For our chosen parameters only one stable structure (distorted αIrV) is found within the max EPN of the austenite in an appropriate stress window. The energy density of the corresponding configurations shows features of temperature- and stress-induced phase transformations between the higher symmetry austenite and lower symmetry martensite phases.

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