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裂纹面任意点受反平面集中力时裂纹线场的弹塑性分析 被引量:8

Near Crack Line Elastic-Plastic Analysis for a Crack Loaded by Antiplane Point Forces
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摘要 本文采用线场分析方法,对理想弹塑性Ⅲ型裂纹无限板,在裂纹面上任意点受一对集中力的情形,进行弹塑性分析。本文的分析完全放弃了小范围屈服条件,其结果在裂纹线附近足够精确。 In this paper,the improved near crack line analysis method proposed in Refs. [1] and [2] is used to investigate a mode Ⅱ crack loaded by antiplane point forces in an infinite plate in an elastic-perfectly plastic solid. The solutions of this paper are sufficiently precise near the crack line region because the assumptions of the small scale yielding theory have not been used and no other assumptions have been taken.
作者 吴承平 王成
机构地区 重庆交通学院
出处 《应用数学和力学》 EI CSCD 北大核心 1996年第12期1059-1064,共6页 Applied Mathematics and Mechanics
关键词 Ⅲ型裂纹 线场分析 集中力 弹塑性分析 裂纹 mode Ⅲ crack, near crack line analysis, elastic-plastic, antiplane,point forces
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参考文献2

二级参考文献3

  • 1易志坚,Eng Fract Mech,1992年,42卷,5期,833页
  • 2易志坚,Int J Fract,1992年,55卷,R9页
  • 3郭全信,Eng Fract Mech,1987年,28卷,139页

共引文献11

同被引文献46

  • 1易志坚.理想弹塑性Ⅲ型扩展裂纹的全新和精确分析[J].应用数学和力学,1993,14(4):327-333. 被引量:12
  • 2周小平,张永兴,朱可善.偏心裂纹板在裂纹面受一对集中拉应力作用时弹塑性解析解[J].固体力学学报,2005,26(3):267-272. 被引量:11
  • 3刘又文,蒋持平.两种各向异性材料界面周期裂纹的反平面问题[J].固体力学学报,1996,17(2):140-144. 被引量:6
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  • 5GUO Quan-xin, LI Ke-rong. Plastic deformation ahead of a plane stress tensile crack growth in an elastic-perfectly plastic solid[J]. Engineering Fracture Mechanics, 1987, 28(2) : 139- 146.
  • 6YI Zhi-jian. The new and analytical solution for model Ⅲ crack in an elastic-perfectly plastic material [J]. Engineering Fracture Mechanics, 1992, 42 (5) : 833-840.
  • 7YI Zhi-jian. The most recent solutions of near crack line fields for mode Ⅲ cracks[J]. Engineering Fracture Mechanics, 1994, 47( 1 ) : 147-155.
  • 8YI Zhi-jian, WANG Shi-jie, WU Heng-li. Precise elastic-plastic analysis of crack line field for mode II plane stain crack[J]. International Journal of Fracture, 1996, 80(4) : 353-353.
  • 9YI Zhi-jian, WANG Shi-jie and WANG Xiang-jian. Precise solutions of elastic-plastic crack line fields for cracked plate loaded by antiplane point forces [ J ]. Engineering Fracture Mechanics, 1997, 57( 1 ) : 75-83.
  • 10WANG Jian-hua, ZHOU Xiao-ping. Near crack line elastic-plastic analysis for an infinite plate loaded by two pairs of point tensile forces [J]. Mechanics Research Communication, 2004, 31(4) : 415-420.

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