留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

裂纹问题的非局部弹性力学分析

赵明暤 程昌钧 刘国宁 沈亚鹏

赵明暤, 程昌钧, 刘国宁, 沈亚鹏. 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.
引用本文: 赵明暤, 程昌钧, 刘国宁, 沈亚鹏. 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.
Zhao Minghao, Cheng Changjun, Liu Guoning, Shen Yapeng. The Analysis of Crack Problems with Non-Local Elasticity[J]. Applied Mathematics and Mechanics, 1999, 20(2): 135-143.
Citation: Zhao Minghao, Cheng Changjun, Liu Guoning, Shen Yapeng. The Analysis of Crack Problems with Non-Local Elasticity[J]. Applied Mathematics and Mechanics, 1999, 20(2): 135-143.

裂纹问题的非局部弹性力学分析

基金项目: 国家自然科学基金资助项目(59375192);机械工业技术发展基金资助项目(95JA10102);河南省自然科学基金资助项目(984052100)
详细信息
  • 中图分类号: O346.1;O343

The Analysis of Crack Problems with Non-Local Elasticity

  • 摘要: 求解并给出非局部弹性力学平面问题的单位集中不连续位移基本解,基于这些基本解和经典弹性力学中的不连续位移边界积分方程-边界元方法,提出了一种非局部弹性力学平面问题的一般解法。利用该解法,研究分析了Grifith裂纹、边缘裂纹等断裂力学中基本的但又很重要的问题。结果表明,裂纹前沿的应力集中系数与裂纹长度有关,给出了裂纹长度对断裂韧性KⅠc的影响。所得结果与已有实验结果一致。
  • [1] Li Q F. A study about Ji and δi in three-point bend specimens with deep and shallow notches[J].Engrg Fracture Mech,1985,22(1):9~15
    [2] 胡胜海,李庆芬,藩信吉.裂纹深度和形状对断裂韧度的影响[Z].见:第六届全国断裂学术会议文集[C].杭州:中国金属学会,中国力学学会,中国航空学会,中国机械工程学会,1991,262~265
    [3] Eringen A C, Edelen D G B. On nonlocal elasticity[J].Int J Engrg Sci,1992,10(3):223~248
    [4] Ilcewicz L, Narasimban M, Wilson J. An experimental verification of nonlocal fracture criterion[J].Engrg Fracture Mech,1981,14(4):801~808
    [5] Eringen A C, Spezial C G, Kim B S. Crack tip problem in nonlocal elastiity[J].J Mech Phy Solids,1977,25(5),339~355
    [6] Ramabraham B, Paraeswara Rao M. Line crack in an elastic plates subject to varying internal pressure in nonlocal elasticity [J].Indian J Pure Appl Math,1985,16(6):661~672
    [7] Eringen A C. Line crack subject to antiplane shear[J].Engrg Fracture Mech,1979,12(2):211~219
    [8] Eringen A C. On continuous distributions of dislocations in nonlocal elasticity[J].J Appl Phys,1984,56(10):2675~2680
    [9] Zhao Minghao, Liu Yuanjie, Cheng Changjun. Boundary-integral equations and the boundary-element method for three-dimensional fracture mechanics[J].Engineering Analysis with Boundary Elements,1994,13(4):333~338
    [10] Zhao Minghao, Cheng Changjun, Liu Yuanjie, et al. The analytical method of nonlocal elasticity and its application in fracture mechanics[J].Acta Mechanica Solida Sinica,1995,8(S. Issue):42~45
    [11] Sih G C. Mechanics of Fracture[M].Vol 1, Leyden, The Netherland:Noordhoff International Publishing,1973
    [12] Zhao Yishu. A strain energy criterion for mixed mode crack propagation[A].In: C Ouyang, M Sakata, C L Chow ed.Proceedings of International Conference on Fracture and Fracture Mechanics[C].Shanghai, P. R. China:Fudan University Press,1987,206~210
    [13] 赵廷仕,赵诒枢,王元汉,等.复合型断裂准则的实验研究[J].华中工学院学报,1985,13(1):47~50
    [14] Shah R C. Fracture analysis[Z].ASTM STP560,1973,29
    [15] GB6394-86金属平均晶粒度测定方法,1986[S].见:中国国家标准汇编[S].70,北京:中国标准出版社,1990,716~737
    [16] Eringen A C. Interaction of a dislocation with a crack[J].J Appl Phys,1983,54(12):6811~6817
    [17] Eringen A C. Edge dislocation in nonlocal elasticity[J].Int J Engng Sci,1977,15(3):177~183
    [18] 程品三.脆性断裂的非局部力学理论[J].力学学报,1992,23(3):329~338
    [19] 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):485~494
    [20] 王锐.非局部弹性力学中的裂纹题[J].中国科学(A辑),1989,34(10):1056~1064
    [21] 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
    [22] Crouch S L. Solution of plane elasticity problems by the displacement discontinuity method[J].Int J Num Meth Engng,1976,10(2):301~343
  • 加载中
计量
  • 文章访问数:  2285
  • HTML全文浏览量:  40
  • PDF下载量:  715
  • 被引次数: 0
出版历程
  • 收稿日期:  1997-10-06
  • 刊出日期:  1999-02-15

目录

    /

    返回文章
    返回