The Effect of a Uniform Stationary Temperature Field on the Stress-Strain State of Elastomers under Static Large Deformations

Abstract

The formulation of the problems of thermoelasticity is demonstrated, taking into account the nonlinear temperature dependence of thermal expansion at finite strains. In the framework of this formulation, a significant effect of the thermal expansion of elastomers on the stress-strain state is shown. As an example, the isothermal deformation of a round elastomeric cylindrical sleeve with the potential energy of the Mooney—Rivlin strain subjected to longitudinal shear forces on the inner and outer side surfaces is considered. Further, the deformed sleeve is placed in a uniform temperature field in which it expands freely.