Dynamics Of Shape-Memory-Alloys: A Reduction Procedure For 3d Models

. Starting from a general Landau-type 3D model for the shape memory alloy dynamics we have developed a new mathematical "slow manifold" model that allows us to describe effectively the main features of the thermomechanical behaviour of CuAlNi alloys. A robust numerical procedure, developed in our earlier papers for the Falk model, has been generalised to this case. Results of the mathematical modelling of the thermomechanical fields in CuAlNi shape memory alloys are discussed with numerical examples. Faculty of Sciences, USQ, Working Paper Series SC-MC-9906 Roderick V.N. Melnik, Anthony J. Roberts, Kerryn A. Thomas 1 Introduction Shape-memory alloys are an intrinsic part of smart material and structure (SMS) technology with a wide variety of applications in such areas as aerospace engineering, medicine, manufacturing (including automotive industry and consumer products), civil infrastructure systems, biomechanics, oceanographic research, vibration control and suppression. A smart st..