Abstract
We prove global existence for one-dimensional thermoelasticity with noncovex energy. This system is studied as asymptotic limit of similar systems including a capillarity-like regularization, as this regularization tneds to zreo. The limiting system corresponds to the balance laws of momentum and energy. A special feature is that the free energy s nonconvex as a function of the deformation gradient for temperatures below a threshold temperature. This allows for modeling of structural phas transitions in solids. For the limiting system, solutions can in general not be expected to exist even in the weak sense. We prove the existence of Young-measure valued solutions.
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