Published 6 issues per year
ISSN Print: 1543-1649
ISSN Online: 1940-4352
Indexed in
Two-Dimensional Analysis of Shape Memory Alloys under Small Loadings
ABSTRACT
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.
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Wang Linxiang X., Melnik Roderick V. N., Low Dimensional Approximations to Ferroelastic Dynamics and Hysteretic Behavior Due to Phase Transformations, Journal of Applied Mechanics, 77, 3, 2010. Crossref
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Wang Linxiang, Melnik Roderick V.N., Nonlinear dynamics of shape memory alloy oscillators in tuning structural vibration frequencies, Mechatronics, 22, 8, 2012. Crossref
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