Generalized Hypo-Elasticity with Thermal Influence : II. Failure Criteria and Failure Slips

Abstract

The fracture and yield criteria and the associated slips and flows of stretching and temperature rate are investigated theoretically on the basis of the thermo-hypoelastic materials defined in the first paper of this series. A ten-dimensional T-space is introduced. The failure criteria and the failure slips are classified naturally into three types : pure mechanical shear, mechanico-thermal normal and heat conduction types. The heat conduction failure is analysed in particular. Its failure surface in the principal stress space has three-fold symmetry and its failure slip is, in general, parallel to a principal axis of stress.