RT Journal Article ID 4779a6902db4a9a0 A1 Wang, L. X. A1 Melnik, Roderick V. N. T1 Two-Dimensional Analysis of Shape Memory Alloys under Small Loadings JF International Journal for Multiscale Computational Engineering JO JMC YR 2006 FD 2006-08-22 VO 4 IS 2 SP 291 OP 304 AB A mathematical model is constructed for modeling the behavior of shape memory alloy (SMA) patches in two dimensions. The effect of phase transformations is included into the model via a specific choice of the free energy functional valid for square-to-rectangular transformations. It is shown that the classical one-dimensional Falk dynamic model, applied to shape memory alloy rods, could be regarded as a special case of the formulated two-dimensional model. The model is analyzed numerically with the method of lines and a series of computational experiments for SMA materials is discussed, in detail, in order to compare the results of simulations to those obtained with conventional one-dimensional models. PB Begell House LK https://www.dl.begellhouse.com/journals/61fd1b191cf7e96f,329fc71d60f835ec,4779a6902db4a9a0.html