[1]王林江,盛振娟,林佳铿,等.用计算复变函数法处理含多个椭圆孔有限大小复合材料板的应力场[J].东南大学学报(自然科学版),1999,29(6):113-118.[doi:10.3969/j.issn.1001-0505.1999.06.025]
 Wang Linjiang,Sheng Zhenjuan,Lin Jiakeng,et al.Calculaion of Stresses in a Finite Comosite Plate with Multiple Elliptical Holes Using Computational Complex Function Method[J].Journal of Southeast University (Natural Science Edition),1999,29(6):113-118.[doi:10.3969/j.issn.1001-0505.1999.06.025]
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用计算复变函数法处理含多个椭圆孔有限大小复合材料板的应力场()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
29
期数:
1999年第6期
页码:
113-118
栏目:
数学、物理学、力学
出版日期:
2000-11-20

文章信息/Info

Title:
Calculaion of Stresses in a Finite Comosite Plate with Multiple Elliptical Holes Using Computational Complex Function Method
作者:
王林江1 盛振娟1 林佳铿1 马军2
1 南京航空航天大学,南京 210016; 2 东南大学土木工程学院,南京 210096
Author(s):
Wang Linjiang1 Sheng Zhenjuan1 Lin Jiakeng1 Ma Jun2
1 Nangjing University of Aeronautics & Astronautics, Nangjing 210016
2 College of Civil Engineering,Southeast University,Nanjing 210096
关键词:
计算复变函数 复合材料 裂纹 应力计算
Keywords:
computational complex method composite materials plate hole crack stress calculation
分类号:
TB12.3;TP301.6;TB115
DOI:
10.3969/j.issn.1001-0505.1999.06.025
摘要:
把多保角变换复变函数理论和边界配点最小二乘法相结合,提出了弹性力学中的计算复变函数法的概念,并以此来计算含有任意多个椭圆孔(包括裂纹)有限大小复合材料层合板的应力场.每个孔的大小、位置为任意.板的边界由下列4种边界条件以及它们的组合所组成:① 已知Px和Py的应力边界; ② 已知 Vx和 Vy的位移边界; ③ 已知法向位移VN和切向力PT的混合边界; ④ 已知法向力PN 和切向位移VT的混合边界.编制了相应的FORTRAN90程序,进行了考题和算例分析,结果表明本方法行之有效,程序使用方便.
Abstract:
The stress functions of multiple complex variables combined with the boundary collocation and least squares method are used to calculate the stress field of an elastic finite plate with multiple elliptical holes whose sizes and locations are arbitrary. The boundaries of the holes consist of the following four types of boundary conditions and their combinations:① the stress boundary of known forces Px and Py, ② displacement boundary of known displacement Vx and Vy, ③ mixed boundary of known normal displacement VN and tangential force PT, ④ mixed boundary of known normal force PN and tangential displacement VT. Examples are given, and the results show that this method is very effective and convenient.

参考文献/References:

[1] 萨文.孔附近的应力集中.卢鼎霍译,北京:科学出版社,1958.20~33
[2] 列赫尼茨基.各向屿性板.胡海昌译.北京:科学出版社,1963.112~130
[3] Jong T D.Stresses around rectangular holes in orthotropic plates.J of Composite Materials,1981,15:311~328
[4] Charles E,Ueng S,Lin JiaKeng.Stress concentrations in composite laminates.J of Engineering Mechanics,1987,113(8):1181~1193
[5] Wang Linjiang,Lin Jiakeng.Calculation of stresses in a multiple-connected anisotropic plate using stress functions of multiple complex variables.Acta Mecanic Sinica(力学学报英文版),1992,8(4):345~354

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备注/Memo

备注/Memo:
基金项目: 航空科学基金资助项目(89B52078).
第一作者:男, 1962年生, 博士研究生.
更新日期/Last Update: 1999-11-20