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Journal Article

Visco-elasto-plastic model for martensitic phase transformation in shape-memory alloys

Plecháč P., Roubíček Tomáš

: Mathematical Methods in the Applied Sciences vol.25, 99 (2002), p. 1281-1298

: CEZ:AV0Z1075907

: IAA1075005, GA AV ČR, GA201/00/076, GA ČR

: twinning, martensite, quasiplasticity

(eng): Evolution of fine structure in martensite undergoing an isothermal process is modeled on a microscopic level by using a positive homogeneous dissipation potential which can reflect a specific energy needed for a phase transformation between different variants of martensite. The model thus naturally incorporates an activation phenomenon. Existence of a weak solution is proved together with the convergence of finite-element approximations. Numerical experiments are also presented.

: 12A

: BA