Dhote, R. P., Melnik, R.V.N., Zu, J.W., Wang, L.
Proceedings of the ASME 2010 Conference on Smart Materials, Adaptive Structures and Intelligent Systems (SMASIS-2010), Sept 28 - Oct 1, 2010, Philadelphia, USA, Volume 1, Paper SMASIS2010-3814, pp. 597--603, ISBN 978-0-7918-4415-1, 2010
In this paper, martensitic transformations in constrained Fe-Pd nanowires are studied using a mesoscopic model analyzed in detail numerically in ourearlier papers. The dynamics of square-to-rectangular transformation is modeled by using the modified Ginzburg-Landau theory. The simulations are performed accounting for the thermal effects using the coupled equations of non-linear thermoelasticity. Up to date, these effects have typically been neglected in modeling microstructures at the scales of interest considered here. Nanowires of length 2000 nm and widths ranging from 200 nm to 50 nm are simulated to study the effect of size on the microstructure evolution. There exists a critical width below which the size effect is prominent. We present a series of numerical results demonstrating this phenomenon. We also have carried out the study of variations in values of bulk, shear, and Landau constants to understand the difference in evolved microstructure in the coupled and uncoupled physics.
Keywords: nanowires, shape memory effects, mathematical models based on Ginzburg-Landau theory, nonlinear thermoelasticity, microstructure evolution, coupled multiphysics modelling