三维非局部弹性场中裂纹问题的分析方法

程昌钧; 刘元杰; 刘国宁; 张石山

三维非局部弹性场中裂纹问题的分析方法

1.
机械工业部郑州机械研究所, 郑州 450052;
2.
上海大学力学系应用数学和力学研究所, 上海 200072

基金项目: 国家自然科学基金,机械工业技术发展基金,河南省自然科学基金

详细信息

中图分类号: O364.1;O343
计量
- 文章访问数: 2319
- HTML全文浏览量: 160
- PDF下载量: 636
- 被引次数: 0
出版历程
- 收稿日期: 1988-01-23
- 修回日期: 1999-01-23
- 刊出日期: 1999-05-15

The Method of Analysis of Crack Problem in Three-Dimensional Non-Local Elasticity

1.
Zhengzhou Research Institute of Mechanical Engineering, Zhengzhou, Henan 450052, P R China;
2.
Shanghai Institute of Applied Mathematics and Mechanics, Department of Mechanics, Shanghai University, Shanghai 200072, P R China

摘要

摘要: 通过求解得到了三维非局部弹性力学对称情形的单位集中不连续位移基本解.基于该基本解和三维局部(经典)弹性力学的不连续位移边界积分方程——边界元方法.提出了三维非局部弹性力学中的平片裂纹Ⅰ型问题的通用解法,并给出了算例.
- 非局部弹性力学 /
- 断裂力学 /
- 边界积分方程方法
Abstract: In this paper,the displacement discontinuity fundamental solution(DDFS) corresponding to the unit concentrated displacement discontinuity for three dimensional(3D) non-local elasticity under symmetrical condition is obtained.Based on the displacement discontinuity boundary integral-equation(DDBIE) and boundary-element method(DDBEM)of local(classical) elasticity,a method of analysis of crack in 3D non-local elasticity with a generalized application is proposed with the DDFS. By use of the method,several important problems of fracture mechanics are analysed.
- non-local elasticity /
- fracture mechanics /
- boundary-integral equation method

HTML全文

参考文献(17)

[1]	Edelen D G B.In:Eringen A C ed.Nonlocal Field Theories in Continuum Physics,Ⅳ[C].New York:Academic Press,1976.
[2]	Eringen A C.Nonlocal Polar Field Theories[M].New York:Academic Press,1976.
[3]	Eringen A C,Speziale C G,Kim B S.Cracktip problem in nonlocal elasticity[J].J Mechanics and Physics of Solids,1977,25(5):339～355.
[4]	Eringen A C.Line crack subject to shear[J].Int J Fracture,1978,14(4):367～379.
[5]	Eringen A C.Line crack subject to antiplane shear[J].Engng Fract Mech,1979,12(2):211～219.
[6]	Ilcewicz L,Narasimhan M,Wilson J.An experimental verification of nonlocal fracture criterion[J].Engng fracture Mech,1981,14(4):801～808.
[7]	Ramabraham B,Rao M P.Line crack in an elastic plate subject to varying internal pressure in nonlocal elasticity[J].Indian J Pure Appl Math,1985,16(6):661～672.
[8]	程品三.脆性断裂的非局部力学理论[J].力学学报,1992,24(3):329～672
[9]	虞吉林,郑哲敏.一种非局部弹塑性连续体模型与裂纹尖端附近的应力分布[J].力学学报,1984,16(5):487～494.
[10]	赵明,程昌钧,刘国宁等.裂纹问题的非局部弹性力学分析[J].应用数学和力学,1999,20(2):135～143.
[11]	高键,戴天民.用非局部弹性场研究圆盘裂纹问题[J].固体力学学报,1989,10(4):289～309.
[12]	Zhao Minghao(赵明),Liu Yuanjie(刘元杰),Cheng Changjun(程昌钧).Boundary integral equation and the boundary element method for three dimensional fracture mechanics[J].Engng Analysis with Boundary Elements,1994,13(4):333～338.
[13]	Eringen A C.Edge dislocation in nonlocal elasticity[J].Int J Engng Sci,1977,15(3):177～183.
[14]	Sneddon I N.Fourier Transforms[M].New York:McGraw-Hill,1951.
[15]	Gradshteyn I S,Ryzhik I M.Table of Integrals,Series and Products[M].New York:Academic Press,1965.
[16]	Brebbia C A,Walker S.Boundary Element Techniques in Engineering[M].London:Butterworths,1980.
[17]	王锐.非局部弹性理论中的混合边值问题[J].科学通报,1989,34(6):412～414.