SIAM Journal on Applied Mathematics
SIAM Journal on Mathematical Analysis
On the thermomechanics of shape memory wires
Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
Global optimization numerical strategies for rate-independent processes
Journal of Global Optimization
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After reviewing the phenomena of martensitic phase transformation in shape-memory alloys, the conventional models that take into consideration viscosity-like and capillarity-like response are investigated for vanishing "dissipative effects". It is shown that they do approach the fully conservative case. Experimental evidence indicates that the response is rate independent and thus a model incorporating a phenomenological rate-independent plasticity-type dissipation related with an activated phase-transformation process is investigated.