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Displaying 801 –
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2633
A thermodynamically consistent model of shape memory alloys in three dimensions is studied. The thermoelasticity system, based on the strain tensor, its gradient and the absolute temperature, generalizes the well-known one-dimensional Falk model. Under simplifying structural assumptions we prove global in time existence and uniqueness of the solution.
A justification of the two-dimensional nonlinear “membrane”
equations for a plate made of a Saint Venant-Kirchhoff material has
been given by Fox et al. [9] by means of the method of formal
asymptotic expansions applied to the three-dimensional equations of
nonlinear elasticity. This model, which retains the material-frame
indifference of the original
three dimensional problem in the sense that its energy density is
invariant under the rotations of , is equivalent to finding the
critical points...
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