Abstract
In the present study, a mathematical model is developed to analyze the wave propagation processes in shape memory alloy rods. The first order phase transformations and associated thermo-mechanical coupling effects are accounted for by employing the modified Ginzburg-Landau-Devonshire theory. The effect of internal friction is considered by using a Rayleigh dissipation term. Chebyshev collocation method is employed together with the backward differentiation methods for numerical analysis. Numerical experiments are performed. Wave propagations caused by impact loadings are analyzed for different initial temperatures. It is demonstrated that thermal waves will be induced. Phase transformations in the material will complicate their propagation patterns. Dissipation effects are enhanced by internal friction, while dispersion during wave propagations is induced by interfacial energy term.
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