橡胶类材料缺陷附近的应力奇异场分析

Defect of Rubber-Like Material

采用 Ｋｎｏｗｌｅｓ和 Ｓｔｅｒｎｂｅｒｇ的本构方程，应用分区法，对平面应变情况下橡胶类材 料典型缺陷一缺口附近的应力奇异场进行了大变形分析．推导得出了缺口附近大变形奇异 场的渐进方程，并对其进行了数值计算．给出了相应的曲线，揭示了橡胶类材料缺口附近 的应为奇异性与缺口角度的关系．

With the constitutive equation supplied by Knowles and Sternberg and the sector division method the large deformation analysis of stress singular field near the notch, a typical defect of rubber-like material under the condition of plane strain is performed. The asymptotic equation of the large deformation singular field near the notch tip is solved numerically. The calculation curves are supplied. And the relation between the stress singularity with the notch angle is revealed.