ASYMPTOTIC CRACK-TIP FIELDS IN ANISOTROPIC POWER-LAW MATERIAL UNDER ANTIPLANE SHEAR

A hodograph transformation in conjunction with an appropriate affine t ransformation are both used to investigate the strain and stress field s near the crack tip in an anisotropic power law material under antipl ane shear. Stress and strain exponents as well as angular distribution s for the asymptotic stress and strain fields are obtained analyticall y. All the stress strain exponents are independent of material anisotr opy, and the effect of material anisotropy on the asymptotic stress an d strain field is discussed including higher order terms.