幂硬化可压缩材料Ⅰ型动态裂纹尖端奇异场

研究了平面应变条件下幂硬化可压缩材料中定常扩展的Ⅰ型动态裂纹尖端应力应变奇异场．采用Ｊ２流动理论和场量直角坐标分量，得到了应力应变奇异性不同时的裂纹尖端渐近场，其中场量的角变化规律和理想弹塑性材料的完全相同

NEAR TIP SINGULAR FIELDS FOR MODE I CRACK DYNAMICALLY PROPAGATING IN A POWER LAW COMPRESSIBLE MATERIAL

Near tip singular stress and strain fields of a mode I crack dynamically propagating in a power law compressible material under plane strains are considered. With J 2 flow theory and the rectangular components, this paper obtains the near tip asymptotic fields in which the singularities of stress and strain are different and the angular variations of field quantities are the same as those in elastic perfectly plastic materials.