## 留言板

 引用本文: 张宁生, 赵学仁, 薛大为. 裂纹尖端场弹塑性分析的加权残数法及塑性应力强度因子的计算[J]. 应用数学和力学, 1991, 12(12): 1055-1066.
Zhang Ning-sheng, Zhao Xue-ren, Hsueh Dah-wei. A Weighted Residual Method for Elastic-Plastic Analysis near a Crack Tip and the Calculation of the Plastic Stress Intensity Factors[J]. Applied Mathematics and Mechanics, 1991, 12(12): 1055-1066.
 Citation: Zhang Ning-sheng, Zhao Xue-ren, Hsueh Dah-wei. A Weighted Residual Method for Elastic-Plastic Analysis near a Crack Tip and the Calculation of the Plastic Stress Intensity Factors[J]. Applied Mathematics and Mechanics, 1991, 12(12): 1055-1066.

## A Weighted Residual Method for Elastic-Plastic Analysis near a Crack Tip and the Calculation of the Plastic Stress Intensity Factors

• 摘要: 本文以幂强化材料,平面应变情形为例,系统地提出了裂纹尖端场弹塑性分析的加权残数法,并根据此法,得出了裂纹尖端场的解析式弹塑性近似解.在此基础上.对整个裂纹区域,构造了弹塑性解叠加非线性有限元计算塑性应力强度因子的方法,从而为裂纹尖端场和整个裂纹体的分析和计算,提供了一个方法.
•  [1] Hutchinson,J.W.,Singular behaviour at the end of a tensile crack in a hardening material,J.Mech.Phys.Solids,16,1(1968),13-31. [2] Hutchinson J.W.,Plastic stress and strain fields at a crack tip,J.Mech.Phys,Solids,16,5(1968),337-347. [3] Rice,J.R.and G.F.Rosengren,Plane strain deformation near a crack tip in a power-lawhardening material,J.Mech.Phys.Solids,16,1(1968),1-12. [4] Hsueh Dah-wei,An elastic-plastic analytical analysis near a crack tip,Yeh K.Y.Ed.,Progressin Applied Mechanics,Printed in Netherlands,Martinus Nijhoff Publishers(1987),339-349. [5] 赵学仁、张宁生,裂纹尖端弹塑性分析方法的探讨,北京理工大学学报,10(2)(1990)18-23. [6] 黄克智、高玉臣,断裂力学的裂纹尖端奇异场,力学进展,14(4)(1984),405-415 [7] 范天佑,断裂动力学进展,力学进展,16(1)(1988),1-13. [8] 高玉臣,应变损伤材料中裂纹尖端场的渐近解,《第十六届国际理论与应用力学大会,中国学者论文集锦》,大连工学院出版社(1987). [9] 黄克智、余寿文,《弹塑性断裂力学》,清华大学出版社(1985),320-332. [10] 赵学仁,平面应变I型裂纹弹塑性分析的一种方案,应用数学和力学,11(4)(1990),337-340. [11] 钱伟长.在奇异项上叠加有限元计算应力强度因子,《应用数学与力学论文集》,江苏科学技术出版社(1979),184-192. [12] 张宁生、赵学仁,在奇异项上叠加有限元计算动态应力强度因子,北京理工大学学报,10(4)(1990),34-39. [13] 赵学仁,关于用有限元法计算应力强度因子的探讨,兵工学报,(1)(1987),45-49. [14] 陈箎.考虑到硬化的塑性区修正,力学,(2)(1975),78-81.
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##### 出版历程
• 收稿日期:  1990-12-10
• 刊出日期:  1991-12-15

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