Quite unique and interesting behaviors of shape memory alloy undercomplex loading conditions, including the complicated pathdependency, have been observed in systematic experiments by applyingsome combiened loads of axial force and torque to the thin-walledtubular specimen of Cu- based polycrystalline shape memory alloy. Aset of constitutive equations is proposed, which can describe thecomplicated behaviors observed in the experiments. The mesoscopicapproach is employed in the formulation because the complicatedbehaviors are closely related with the micros- tructural changes ofmaterials, and the obtained equations show a reasonable coincidencewith the exprimental results. In this first paper, the process ofmodelling and the detail of formulated constitutive equations aredescribed, and the comparison between experimental resutls andcomputed results by using the proposed constitutive equations areshown in the second report.
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