WEAK SOLUTIONS TO A PARABOLIC PROBLEM MODELING AXIALLY-SYMMETRICAL THERMOELASTIC CONTACT

[摘要] We consider a nonlinear parabolic problem that models the axially symmetric, quasistatic, mechanical behavior of a homogeneous hollow cylinder that may come into contact with a rigid obstacle. The problem has a nonlinear and nonlocal boundary condition that contains a pressure-dependent heat exchange coefficient. We model this coefficient both as a single-valued continuous function and as a measurable selection from a maximal monotone graph. In both instances we prove existence, regularity, and periodicity assertions for weak formulations of the problem, under the assumption that the thermal expansion coefficient is small. (C) 1994 Academic Press, Inc.

[发布日期] 1994-04-01