Study of a mathematical model for analyzing the thermomechanical behaviour of metallic alloys exhibiting shape memory effect was carried out. The model assumed diffusive effects for phase proportions and the heat flux was supposed to satisfy a relaxed version of the Fourier law. The total free energy associated with the state of the system was found to be a weighted sum of the specific free energies of martensitic and austenitic variants and of a thermally coupled indicator function.

Global solution to a Frémond model for shape memory alloys with thermal memory / E. Bonetti. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 46:4(2001), pp. 535-565.

Global solution to a Frémond model for shape memory alloys with thermal memory

E. Bonetti
2001

Abstract

Study of a mathematical model for analyzing the thermomechanical behaviour of metallic alloys exhibiting shape memory effect was carried out. The model assumed diffusive effects for phase proportions and the heat flux was supposed to satisfy a relaxed version of the Fourier law. The total free energy associated with the state of the system was found to be a weighted sum of the specific free energies of martensitic and austenitic variants and of a thermally coupled indicator function.
shape and thermal memory alloys; thermo-mechanical model; initial-boundary value problem; existence and uniqueness theorem; continuous dependence on data
Settore MAT/05 - Analisi Matematica
2001
Article (author)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/469780
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