Computing dynamics of copper-based SMA via centre manifold reduction of 3D models

A Dynamic Model for Phase Transformations in 3D Samples of Shape Memory Alloys

“…Computational results presented in [2,13] confirmed robustness of our modelling approach for a number of practically important cases. The main results of the present paper are pertinent to the general threedimensional case.…”

“…Note that earlier, a new low-dimensional model for the time-dependent dynamics of SMA was derived in [2] and a class of such reduced models was rigorously analyzed in [13]. Computational results presented in [2,13] confirmed robustness of our modelling approach for a number of practically important cases.…”

“…Phenomenological framework based on Landau theory of martensitic transformations (e.g., [1]) has become a convenient choice for basic building blocks in the computational models. However, most of the phenomenological models are applicable at macroscopic and mesoscopic scales as discussed in [2], and the strain field in such model is often beyond the resolution of bain strain. Also it may be noted that a majority of the works (see e.g.…”

Thermomechanical behaviour of thermoelectric SMA actuators

“…Coupled thermomechanical models play an increasingly important role in the design of SMA devices and structures [2,7,9,11]. In many applications the analysis of such models and the development of numerical methods for their solution are complicated due to the nonstationary character of the problem and the need to account for the transient heat exchange with the surrounding environment or other layers of the structure.…”

“…Since the response time of a SMA can be controlled by a combined effect of heat transfer (to and from the device) and mechanical loading, in order to quantify and ultimately optimise heating/cooling conditions heat transfer models alone are not sufficient. Although many efforts have been concentrated on the development of thermal models for stress-free SMA samples [6,3], the development of full thermoelectromechanical models and numerical methods for their solutions constitutes an important problem in theory and applications of shape memory materials [2,7,9,11].…”