A semi-analytic analysis of shape memory alloy thick-walled cylinders under internal pressure |
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Authors: | Reza Mirzaeifar Mahmoud Shakeri Reginald DesRoches Arash Yavari |
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Institution: | (1) Naval Research Laboratory Operations Science Applications International Corporation (SAIC), Washington, DC;(2) Department of Aerospace Engineering, Texas A&M University, Texas; |
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Abstract: | In this paper, a new method for analysis of the pseudoelastic response of shape memory alloy thick-walled cylinders subjected
to internal pressure is proposed. Two cases of short and long cylinders are considered by assuming the plane stress and plane
strain conditions. In each case, a three-dimensional phenomenological SMA constitutive model is simplified to obtain the corresponding
two-dimensional constitutive relations. The cylinder is partitioned into a finite number of narrow annular regions, and appropriate
assumptions are made in order to find a closed-form solution for the equilibrium equations in each annular region. The global
solution is obtained by enforcing the stress continuity condition at the interface of the annular regions and imposing the
boundary conditions. Several numerical examples are presented to demonstrate the efficiency of the proposed method, and the
results are compared with three-dimensional finite element simulations. |
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