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Gradient structures for the thermomechanics of shape-memory materials

机译:形状记忆材料热力学的梯度结构

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We investigate the variational structure of a phenomenological model for the coupled thermomechanical behavior of shape-memory polycrystalline materials. The nonisothermal evolution of the medium is reformulated as a generalized gradient flow of the entropy with respect to an entropy-production potential. Based on this reformulation, a semi-implicit time-discretization of the fully coupled thermomechanical problem is presented and proved to be unconditionally stable and convergent. The flexibility and robustness of the numerical method is assessed via both uniaxial and multiaxial computational tests. (C) 2015 Elsevier B.V. All rights reserved.
机译:我们调查的形状记忆多晶材料热力学行为耦合的现象学模型的变结构。将介质的非等温演变重新定义为相对于熵产生潜能的广义熵梯度流。在此基础上,提出了完全耦合的热力学问题的半隐式时间离散化,并证明其是无条件稳定和收敛的。数值方法的灵活性和鲁棒性通过单轴和多轴计算测试进行评估。 (C)2015 Elsevier B.V.保留所有权利。

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