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Journal Article

A model of shape memory alloys taking into account plasticity

Kružík Martin, Zimmer J.

: IMA Journal of Applied Mathematics vol.76, 1 (2011), p. 193-216

: CEZ:AV0Z10750506

: IAA100750802, GA AV ČR

: elasto-plasticity, energetic solution, plastic strain gradients

: 10.1093/imamat/hxq058

(eng): We propose a phenomenological model for the evolutionary behaviour of shape memory alloys, where the possibility of plastic deformation is taken in to account. Two dissipative mechanisms are considered, namely the dissipation associated with solid–solid (martensitic) phase transformations and plastic dissipation. The plastic contribution may lead to an irreversibility of the evolution. The existence of a so-called energetic solution is established for a suitable relaxation of the problem in the space of Young measures.

: BA