不可压缩橡胶类材料裂纹尖端应力应变场

本文对平面应变情况下不可压缩橡胶类材料裂纹尖端弹性场进行了有限变形分析．裂纹尖端场被分为收缩区和扩张区．借助于新的应变能函数和变形模式，推出了尖端场各区的渐近方程，得到了尖端场的完整描述．本文对奇异性作了讨论，得到了不可压缩橡胶类材料裂纹尖端应力及应变分布曲线，揭示了裂纹尖端应力应变场的特性．

Stress-Strain Field near the Crack-Tip of an Incompress Rubber-Like Material

This paper contains an asymptotic finite-deformation analysis about the elastostatic field near the crack-tip in an incompress rubber-like material. The cracktip field is divided into two narrowing sectors and one expanding sector. By the new strain energy function and deformation pattern, we derive and solve theasymptotic equations for each sector of the tip field. The singularity of thecrack-tip field is discussed. The curves of stress-strain of the crack-tip field for an incompress rubber-like material are given and the dominant behaviors of stress and strain near the crack-tip are revealed.