Dynamic asymptotic fields near a crack tip growing in a power-law hardening compressible material

Abstract

Abstract Dynamic asymptotic stress and strain fields near a mode I crack tip growing in a power-law hardening compressible material are studied under plane strain conditions. By use of the J 2 flow theory and the rectangular components of field quantities, this paper obtains, through rigorous mathematical analysis, the asymptotic fields in which the stress- and strain-singularity are different, the angular variations of the fields are identical with those corresponding to dynamic crack in an elastic-perfectly plastic material. Finally, the results as the compressible material goes to be incompressible are discussed, and the numerical angular distributions of stress components are given.