Application of Superposition of Singular Solutions and Finite Element Solutions to Solve Stress Intensity Factor

Journal of Chongqing Jiaotong University(Natural Science) ›› 1990, Vol. 9 ›› Issue (2): 68-74.

Previous Articles Next Articles

Application of Superposition of Singular Solutions and Finite Element Solutions to Solve Stress Intensity Factor

Wu Chengping¹, Zhang Lukun²

1. Editorial Department of Applied Mathematics and Mechanics, Chongqing;
2. Wuxi Education Institute, Wuxi

Received:1989-02-03 Online:1990-04-23 Published:2016-11-08

奇异项上叠加矩形有限元解计算应力强度因子

吴承平¹, 张录坤²

1. 重庆:应用数学和力学编辑部;
2. 无锡教育学院

作者简介:吴承平,男,46岁,重庆交通学院应用数学和力学编辑部编辑

Abstract

Abstract: This paper presents a new calculation of stress intensity factor for mode I fracture in 2-D deformation state,in which finite element solutions are superposed on the singular solutions,and rectangular element is taken in the finite element method.In this paper,explicit expressions for calculating the above stress intensity factor are given.

Key words: stress intensity factor, finite element method, rectangular element, singular solution, mode I fracture

摘要： 本文用奇异项上叠加矩形有限元解的方法求解了二维中心Ⅰ型裂纹体的应力强度因子K₁.文中利用了奇异解的一般分析结果,同时充分利用有限元法进行数值计算的优点,为能反映单元内应力的变化,采用了矩形单元,求得了应力强度因子K₁的显式表示。

关键词: 应力强度因子, 有限元法, 矩形单元, 奇异解, Ⅰ型裂纹

Wu Chengping, Zhang Lukun. Application of Superposition of Singular Solutions and Finite Element Solutions to Solve Stress Intensity Factor[J]. Journal of Chongqing Jiaotong University(Natural Science), 1990, 9(2): 68-74.

吴承平, 张录坤. 奇异项上叠加矩形有限元解计算应力强度因子[J]. 重庆交通大学学报（自然科学版）, 1990, 9(2): 68-74.

[1]	XU Jianguo, FENG Yue. Numerical Analysis of Energy Dissipation Process of New Airbag-Type of Emergency Lane [J]. Journal of Chongqing Jiaotong University(Natural Science), 2020, 39(12): 94-98.
[2]	PENG Zhongbo, LI Cheng, GAO Yang. Vibration Study Based on the Band Gap Characteristics of Two-Dimensional Three-Component Phononic Crystal [J]. Journal of Chongqing Jiaotong University(Natural Science), 2020, 39(08): 134-138.
[3]	GAO Yuanyuan1, 2, WANG Weiyu2, ZHAO Qingxin1. Crack Reflection of Semi-rigid Base Asphalt Pavement Based on Analytical Method [J]. Journal of Chongqing Jiaotong University(Natural Science), 2018, 37(12): 49-54.
[4]	QU Yu1，2，ZENG Yong1，2，GU Anbang1，2，DU Baisong1，2. XFEM and Its Application to Fatigue Crack Extension of Orthotropic Steel Bridge Deck [J]. Journal of Chongqing Jiaotong University(Natural Science), 2018, 37(04): 21-27.
[5]	JI Bohai, XIE Shuhui, FU Zhongqiu, YAO Yue. Stress Characteristics and Influence Factors of Surface Crack near Fillet Weld in Steel Box Girder [J]. Journal of Chongqing Jiaotong University(Natural Science), 2017, 36(9): 1-5.
[6]	CHEN Xi1，ZHANG Xunwei1，2，MIAO Jianglong1，WANG Dongyong1. Stability Analysis and Evaluation of Soil Slope System Considering the Shear Dilatancy Effect [J]. Journal of Chongqing Jiaotong University(Natural Science), 2017, 36(1): 52-57.
[7]	HE Linlin，LIU Yang，DENG Xiao. Finite Element Analysis on Working Behavior for Group Pile Foundation in All-Vertical-Piled Wharf in Offshore Deep-Water [J]. Journal of Chongqing Jiaotong University(Natural Science), 2016, 35(5): 79-84.
[8]	Jiao Ziquan, Sun Yonggan, Ma Jun. Acoustic-Vibration Prediction of Large Jacket Platform [J]. Journal of Chongqing Jiaotong University(Natural Science), 2014, 33(5): 140-146.
[9]	Wang Yu , Chai Hejun , Wu Zusong , Liu Li ,Wang Xiaodong. Structure of Combined Anti-Sliding Piles ?ased on Pile-Soil Interaction [J]. Journal of Chongqing Jiaotong University(Natural Science), 2014, 33(1): 90-93.
[10]	GengJianyu ， JiangXin ， Qiu Yanjun. Dynamic Simulation of Expressway Embankment Widening of Soft Ground Treated by Pile-Net Structure [J]. Journal of Chongqing Jiaotong University(Natural Science), 2013, 32(6): 1179-1185.
[11]	GengJianyu ， JiangXin ， Qiu Yanjun. Dynamic Simulation of Expressway Embankment Widening of Soft Ground Treated by Pile-Net Structure [J]. Journal of Chongqing Jiaotong University(Natural Science), 2013, 32(6): 1179-1185.
[12]	Gao Yuanyuan，Zhong Yang，Li Ｒui. Theoretical Analysis on Influence of Overlay on Crack Ｒesistance of Old Cement Pavement [J]. Journal of Chongqing Jiaotong University(Natural Science), 2013, 32(5): 943-949.
[13]	Yang Bin，Fang Yong，Wang Xiaomin. Force Analysis on Highway Tunnel’s Primary Support in Approximate Horizontal Inter-Bedded Strata of Soft and Hard Rock [J]. Journal of Chongqing Jiaotong University(Natural Science), 2013, 32(2): 229-0233.
[14]	Jiang Zhikun,Yan Qiurong,Yan Fu. Influence of Setting Position and Shape of Bolt-Grouting Body on Slope Fixation Effect [J]. Journal of Chongqing Jiaotong University(Natural Science), 2013, 32(1): 68-74.
[15]	Zhu Bo，Gong Qingsheng，Zhou Shuixing. Analysis of Temperature Field for Block Number Zero of Continuous Rigid Frame Bridge [J]. Journal of Chongqing Jiaotong University(Natural Science), 2012, 31(5): 924-926.

Application of Superposition of Singular Solutions and Finite Element Solutions to Solve Stress Intensity Factor

奇异项上叠加矩形有限元解计算应力强度因子

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics