Variational principle for shape memory alloys

Vladimir Grachev; Yuriy Neustadt

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arXiv · 1807.03153

Variational principle for shape memory alloys

Vladimir Grachev·Yuriy Neustadt

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Abstract

The quasistatic problem of shape memory alloys is reviewed within the phenomenological mechanics of solids without microphysics analysis. The assumption is that the temperature variation rate is small. Reissner's type of generalized variational principle is presented, and its mathematical justification is given for three-dimensional bodies made of shape memory materials.

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Vladimir Grachev, Yuriy Neustadt. 2018-07-05. Variational principle for shape memory alloys. https://arxiv.org/abs/1807.03153

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