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

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.