采用新方法研究非局部理论中Ⅰ-型裂纹的断裂问题

周振功; 王彪

采用新方法研究非局部理论中Ⅰ-型裂纹的断裂问题

周振功,
王彪

哈尔滨工业大学复合材料研究所, 哈尔滨 150001

基金项目: 国家优秀青年研究基金资助项目(19725209)

详细信息

作者简介:
周振功(1963~ ),男,教授.

中图分类号: O345.19
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出版历程
- 收稿日期: 1998-07-02
- 刊出日期: 1999-10-15

Investigation of a Griffith Crack Subject to Uniform Tension Using the Non-Local Theory by a New Method

P O Box 2147, Center for Composite Materials, Harbin Institute of Technology, Harbin 150001, P R China

摘要

摘要: 采用新的方法研究非局部理论中Ⅰ-型裂纹的断裂问题,进而确定裂纹尖端的应力状态,这种方法就是Schmidt方法.所得结果比艾林根研究同样问题的结果准确和更加合理,克服了艾林根研究同样问题时遇到的数学困难.与经典弹性解相比,裂纹尖端不再出现物理意义上不合理的应力奇异性,并能够解释宏观裂纹与微观裂纹的力学问题.
- 非局部理论 /
- Schmidt方法 /
- 对偶积分方程
Abstract: Field equations of the non-local elasticity are solved to determine the state of stress in a plate with a Griffith crack subject to uniform tension. Then a set of dual-integral equations is solved using a new method, namely Schmidt's method. This method is more exact and more reasonable than Eringen's one for solving this kind of problem. Contrary to the solution of classical elasticity, it is found that no stress singularity is present at the crack tip. The significance of this result is that the fracture criteria are unified at both the macroscopic and the microscopic scales. The finite hoop stress at the crack tip depends on the crack length.
- non-local theory /
- Schmidt's method /
- dual-integral equation

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参考文献(16)

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