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

• Received Date: 1990-12-10
• Publish Date: 1991-12-15
• In this paper, a weighted residual method for the elastic-plastic analysis near a crack tip is systematically given by taking the model of power-law hardening under plane strain condition as a sample. The elastic-plastic solutions of the crack lip field and an approach based on the superposition of the nonlinear finite element method on the complete solution in the whole crack body field, to calculate the plastic stress intensity factors, are also developed. Therefore, a complete analvsis based on the calculation both for the crack tip field and for the whole crack body field is provided.
•  [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.

### Catalog

###### 通讯作者: 陈斌, bchen63@163.com
• 1.

沈阳化工大学材料科学与工程学院 沈阳 110142

## Article Metrics

Article views (2130) PDF downloads(526) Cited by()
###### Related

/

DownLoad:  Full-Size Img  PowerPoint