Thermal stress in a bimodulus thick cylinder

Certain materials are known to behave differently under tension and compression. This reports an investigation of a simple thermal stress problem based on the bimodulus elasticity in the framework of the classical-type uncoupled thermoelasticity. Because of an unavoidable complexity of three-dimensional analysis in bimodulus elasticity, as a fundamental illustration we consider herein an axisymmetric plane strain state of a thick orthotropic circular cylinder under axisymmetric heat conditions. A system of transcendental simultaneous algebraic equations with respect to eight unknowns are derived. Numerical analyses are carried out for a steady-state temperature field and for a quasi-stationary state with internal heat generation. Results of calculations show that the states of a cylinder are affected significantly by the difference between tensile and compressive moduli of elasticity.