Global existence and uniqueness for a thermomechanical model for shape memory alloys with partition of the strain
Articolo
Data di Pubblicazione:
2006
Citazione:
Global existence and uniqueness for a thermomechanical model for shape memory alloys with partition of the strain / E. Bonetti, M. Frémond, C. Lexcellent. - In: MATHEMATICS AND MECHANICS OF SOLIDS. - ISSN 1081-2865. - 11:3(2006), pp. 251-275.
Abstract:
This paper investigates an initial and boundary value problem describing the thermomechanical behavior of shape memory alloys. In the strain tensor an elastic contribution is combined with a phase transformation term, for which only one of the phases turns out to be responsible. In particular, the solid-solid phase transition between the austenite phase and the martensites is described by two functionals, the free energy and the pseudo-potential of dissipation. A global existence and uniqueness result is stated by use of a fixed point argument and contracting estimates technique.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
shape memory alloys; thermomechanical models; partial differential equations; well-posedness results
Elenco autori:
E. Bonetti, M. Frémond, C. Lexcellent
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