| 正交异性理想塑性材料平面应力问题的裂纹尖端应力场 |
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| 引用本文： | 范季夏,袁祖培.正交异性理想塑性材料平面应力问题的裂纹尖端应力场[J].应用数学和力学,1991,12(4):369-374. |
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| 作者姓名： | 范季夏 袁祖培 |
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| 作者单位： | 1.上海航天局八○五研究所; |
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| 摘 要： | 本文在裂纹尖端场的应力分量仅仅是θ的函数的假设下,利用Hill屈服准则和平衡方程导出了正交异性理想塑性材料平面应力问题中裂纹尖端场的微分方程;在允许应力不连续线存在的情况下,把解析表达和数值计算法结合起来,得到了Ⅰ型和Ⅱ型裂纹尖端的应力场.
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| 关 键 词： | 正交异性 塑性 裂纹尖端 应力场 |
| 收稿时间： | 1989-08-28 |
Plane-Stress Crack-Tip Stress Fields for Orthotropic Perfectly-Plastic Materials |
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| Fan Ji-xia.Plane-Stress Crack-Tip Stress Fields for Orthotropic Perfectly-Plastic Materials[J].Applied Mathematics and Mechanics,1991,12(4):369-374. |
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| Authors: | Fan Ji-xia |
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| Institution: | 1.805 Research Institute, Shanghai Astronautics Bureau, Shanghai;2.Department of Engineering Mechanics, Harbin Institute of Technology, Harbin |
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| Abstract: | Under the hypothesis that the stress components of crack-tip fields are only the functions of θ,the differential equations of plane-stress crack-tip stress fields for orthotropic perfectly-plastic materials are obtained by using Hill's yield condition and equilibrium equations.By combining the general analytical expression with the numerical method the crack-tip stress fields for orthotropic perfectly-plastic materials for plane stress are presented. |
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| Keywords: | orthotropic plasticity crack-tip stress field |
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