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Based on the asymptotic ODE system derived in part I of this series of papers, the mechanical behaviors of geometrically graded shape memory alloy (SMA) layers with different shapes, loading procedures and boundary conditions are studied in the current paper. First, for SMA layers with concave and convex shapes, the stress-strain curves during a full loading cycle are plotted based on the analytical...
In this paper, an analytical approach is proposed to study the stress-induced phase transitions in geometrically graded shape memory alloy (SMA) layers. First, within a two-dimensional setting, the governing PDE system is formulated, which contains the mechanical equilibrium equations and the phase transition criteria. By using the coupled series-asymptotic expansion method, the equilibrium equations...
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