JournalsifbVol. 4, No. 2pp. 111–136

Evolution model for martensitic phase transformation in shape-memory alloys

  • Tomáš Roubíček

    Charles University, Praha, Czech Republic
Evolution model for martensitic phase transformation in shape-memory alloys cover
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Abstract

A mesoscopical-level model for the evolution of microstructure in simple-laminate martensite undergoing an isothermal phase-transformation process within the context of a uniaxial deformation is proposed using a Hamiltonian approach to a relaxed problem involving a Young-measure-valued deformation gradient and Hill's maximum-dissipation principle involving positive homogeneous dissipation potential which reflects the energy needed for (and dissipated by) a phase transformation. A regularization by adding a (modified) volume-fraction gradient, which can be understood as a limit Ericksen-Timoshenko beam-like construction, is considered to ensure existence of a weak solution for a slow-process model. A numerical algorithm and computational experiments are also presented.

Cite this article

Tomáš Roubíček, Evolution model for martensitic phase transformation in shape-memory alloys. Interfaces Free Bound. 4 (2002), no. 2, pp. 111–136

DOI 10.4171/IFB/55