期刊
IMA JOURNAL OF APPLIED MATHEMATICS
卷 71, 期 4, 页码 479-495出版社
OXFORD UNIV PRESS
DOI: 10.1093/imamat/hxl003
关键词
thermoelasticity; phase transition; contact problem
We investigate a thermomechanical contact problem with phase transitions. The system of equations consists of a quasistatic momentum balance and a semilinear energy balance. The phase transition is described by an ordinary differential equation. Different mechanical properties of the respective phases are taken care of by a mixture ansatz. We prove the existence of a weak solution and a uniqueness result, the latter only being valid in one space dimension.
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