Computational Crack Path Prediction and the Singularities in Elastic-Plastic Stress Fields

Abstract

The paper justifies the assumption that the exponent of the first term in asymptotic expansion of two-dimensional stresses at a crack tip of elastic-plastic body is independent of the angle θ in polar coordinates. First we discuss the case of a total deformation theory and then apply the idea used there to an incremental theory. These results can be effectively used to show the validity of a procedure used in computational crack path prediction for elasic-plastic bodies. In Appendix we show that, if the ” ĵ-integral” does not vanish, the exponent is independent of the load parameter t too, and equal to -½ for stational cracks in the material with hardening, as is seen in elastic stresses.KeywordsStress FunctionStationary CrackNonzero TermInitial Yield StressIncremental TheoryThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.