In this paper, a new method is proposed for analyzing thick walled shape memory alloy cylinders subjected to internal pressure. The plane stress condition is assumed for the cylinder and three-dimensional phenomenological macroscopic SMA constitutive model presented by Boyd and Lagoudas is simplified to obtain the required two-dimensional constitutive relations. The cylinder is divided to some narrow annular regions and appropriate assumptions are made in order to find a closed-form solution for the equilibrium equation in terms of radial displacements in each region. Numerical examples are presented for demonstrating the performance of the proposed method and the results are compared with three-dimensional finite element method.

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