A Ginzburg-Landau model for the macroscopic behaviour of a shape memory alloy is proposed. The model is one-dimensional in essence, in that we consider the effect of the martensitic phase transition in terms of a uniaxial deformation along a fixed direction; a Ginzburg-Landau approach to the martensitic phase transition is applied by setting in a thermodynamical consistent framework a scalar order parameter, coupled with the balance of linear momentum equation and the heat equation. The model has been implemented within a finite-element framework and a number of numerical tests are presented which investigate the mechanical behaviour of the model under different conditions; the results obtained are analysed in relation to experimental evidences available in literature.
A macroscale, phase-field model for shape memory alloys with non-isothermal effects / D. Grandi; M. Maraldi; L. Molari. - ELETTRONICO. - (2011), pp. 1-10. (Intervento presentato al convegno XX Congresso dell’Associazione Italiana di Meccanica Teorica e Applicata – AIMETA2011 tenutosi a Bologna nel 12-15 settembre 2011).
A macroscale, phase-field model for shape memory alloys with non-isothermal effects
GRANDI, DIEGO;MARALDI, MIRKO;MOLARI, LUISA
2011
Abstract
A Ginzburg-Landau model for the macroscopic behaviour of a shape memory alloy is proposed. The model is one-dimensional in essence, in that we consider the effect of the martensitic phase transition in terms of a uniaxial deformation along a fixed direction; a Ginzburg-Landau approach to the martensitic phase transition is applied by setting in a thermodynamical consistent framework a scalar order parameter, coupled with the balance of linear momentum equation and the heat equation. The model has been implemented within a finite-element framework and a number of numerical tests are presented which investigate the mechanical behaviour of the model under different conditions; the results obtained are analysed in relation to experimental evidences available in literature.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
