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Ⅰ型平面应变定常扩展裂纹线场分析
引用本文:易志坚,赵廷仕.Ⅰ型平面应变定常扩展裂纹线场分析[J].华中科技大学学报(自然科学版),1992(3).
作者姓名:易志坚  赵廷仕
作者单位:重庆交通学院 (易志坚),华中理工大学力学系(赵廷仕)
基金项目:国家自然科学基金资助项目
摘    要:本文合理地假设了近裂纹线塑性区外的弹性场的形式,从弹塑性理论的基本方程出发,通过在裂纹线附近弹塑性边界上应力和变形的匹配,得出了理想弹塑性不可压缩材料平面应变Ⅰ型定常扩展裂纹,近裂纹线的应力与变形场,以及弹塑性边界的单位法向量和长度,并基于裂纹前方一确定距离处的应变准则,给出了定常扩展判据.

关 键 词:I型裂纹  平面应变  弹塑性分析  线场  幂级数

An Analysis of the Crack Line Field for Mode- I Steadily Propagating Crack under Plane Strain
Yi Zhijian Zhao Tingshi.An Analysis of the Crack Line Field for Mode- I Steadily Propagating Crack under Plane Strain[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1992(3).
Authors:Yi Zhijian Zhao Tingshi
Institution:Yi Zhijian Zhao Tingshi
Abstract:Mode-I crack growth in an elastic-perfectly-plastic material under plane strain is investigated. The elastic stress field distribution outside the plastic region near the crack line is assumed. By matching the relevant stress components and particle velocity components with the dominant terms at the elasto-plastic boundary, the complete solutions for stresses and strains near the crack line are obtained and a criterion is proposed for a steadily propagating crack. With the method proposed, the line field solution for mode-I crack growth in an elastic-perfectly-plastic material under plane stress and mode-III crack problem can also be found.
Keywords:mode-l crack  plane strain  elasto-plastic analysis  line field  power series
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