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裂纹起始扩展的弹塑性场

EIASTIC PIASTIC FIELDS AT THE TIP OF A CRACK BEFORE GROWING

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【作者】 高玉臣;

【Author】 Gao Yu-chen(Harbin Ship Building Engineering Institute)

【机构】 哈尔滨船舶工程学院;

【摘要】 本文分析了裂纹扩展之前Ⅰ、Ⅱ混合型应力应变场演变的自相似性,并采用理想弹塑性模型给出了自相似解基本方程及边界条件.对v=1/2情况给出了尖端附近小范围应力应变的渐近解,同时讨论了满塑性区的存在条件.

【Abstract】 In this paper, the problem of a crack before growing is studied. The basic equations and contiguity conditions of the self-similar fields are given. When the Poisson’s ratio p=1/2, the asymptotic solution of mixed mode crack problem is solved. The solution showsthat when the stress of Mode I is predominant, the elastic zone always exists in general, but in the case of pure Mode I crack, the field of the crack tip may be occupied by plastic zone entirely When the stress of Mode I is predominant, the field of the crack tip can be full plastic. There is not any discontinuous line of a stress, which is different fromn Shih’s result.

  • 【文献出处】 固体力学学报 ,Acta Mechanica Solida Sinica , 编辑部邮箱 ,1980年01期
  • 【被引频次】28
  • 【下载频次】169
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