Stress-strain state at the crack tip under conditions of steady creep in materials having different properties in tension and compression

Abstract

1. We obtained a modified singular solution of the problem of fracture mechanics for a body with a normal dilatational crack in steady creep when the behavior of the material is described by a determining equation that takes the effect of the kind of state of stress into account. 2. We dealt with the simplest function of the effect of the angle of the kind of state of stress ψσ as a result, it was established that the numerical values of the reduced functions\(\tilde \sigma _{ij} m(\theta )\) and\(\mathop {\dot \varepsilon }\limits^ \sim _{ij} m(\theta )\) and also In, m depend solely on the one parameter m. An analysis of the generalized dependence in the form (4) showed that the general structure of the solution (1) does not undergo any changes either, and the corresponding reduced functions and In depend on the numerical values of the constants of Eq. (4) which are found for the actual material.