Approximate Models of Dynamic Thermoviscoelasticity Describing Shape-Memory-Alloy Phase Transitions

Melnik, R.V.N. and Roberts, A.J.

New Methods in Applied and Computational Mathematics, Proceedings of the Centre for Mathematics and its Applications, Australian National University, Vol. 38, 17--32, 2000

Abstract:

We consider problems of dynamic viscoelasticity taking into account the coupling of elastic and thermal fields. Efficient approximate models are developed and computational results on thermomechanical behaviour of shape-memory-alloy structures are presented.

Key words: non-local models of dynamic viscoelasticity; thermoelastic coupling; shape memory alloys; Cattaneo-Vernotte equation; nonlinear hyperbolic thermoelasticity; numerical approximations; Helmoholtz free energy; Ginzburg term..