受拉情况下一类橡胶材料裂纹尖端的奇异性分析

Singular Analysis near the Crack Tip in a Rubber-like Medium

采用完全非线性弹性理论，研究了一类均匀的、各向同性的橡胶材料受拉情况下平面应变裂纹尖端场基于文献［１，７，８］给出的新的本构关系，导出了裂纹尖端场的渐近方程，并给出了解答揭示了裂纹尖端场的奇异特性数值结果表明。

This paper investigates the plane strain crack-tip field in a homogeneous and isotropic rubber-like material under tension by means of the fully non-linear elastic theory.Besed on the new constitutive relation given by ,the asymptotic equations of the near tip field are derived and solved.The singular behavior of stress and strain near the crack tip is revealed.Results show that the most serious stress is r -m (m=1+12n+1·n-1n+1) .