不可压缩橡胶类材料裂纹尖端应力应变场<sup>*</sup>

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不可压缩橡胶类材料裂纹尖端应力应变场^*

基金项目: *黑龙江省自然科学基金

摘要: 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.
- 橡胶类材料 /
- 有限变形 /
- 裂纹
Abstract: This paper contains an asymptotic.finite-deformation analysis about theelastostatic field near the,crack-tip in an incompress rubber-like material.The eracktip.field is divided into two narrowing sectors and one expanding seclor.By the newstyain energy funcion and deformation pattern,we derive and solve the asymptoticequations.for each sector of the tip.field.The singularity of the crack-tip field isdiscussed.The curves of stress-strain of foe crack-tip.field.for an incompress rubber-like material are given and the dominant behaviors of stress and strain near the,cracktip are revealed.
- rubber-like material /
- finite-deformation /
- crack

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