|Table of Contents|

Lacunaris Elastic Plane Bending and Torsion Stress Concentration Problem

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
2006年06期
Page:
701-704
Research Field:
Publishing date:
2006-12-30

Info

Title:
Lacunaris Elastic Plane Bending and Torsion Stress Concentration Problem
Author(s):
QU Yan-zheGAI Bing-zhengWU Jia
1.School of Astronautics;2.School of Material Science and Engineering,Harbin Institute of Technology,Harbin 150001,China
Keywords:
elast ic p lates bend ing stress concentration
PACS:
O343.4
DOI:
-
Abstract:
Based on the complex variable function theory o f elastic mechanics, using mu ltiple confo rmalm apping change to get the expression o fmult ip le comp lex variab le stress function about inf-i n ite e last ic p lane bending and torsion problem w ith arbitrary ho les. Fourier series on every boundary are ex tended, the unknow n coefficients are confirmed by undeterm ined coeffic ients method, and the stress field of e last ic plane is computed. Taking arb itrary circle ho les in infinite p lane as an examp le, this paper g ives the influenc ing effects of the ho le d istance in the cond ition o f every load on stress concentration and the bending moment distribution maps around ho les. The result proves this method is effective to analyze lacunaris e lastic plane bending or torsion problems.

References:

[ 1] 列赫尼茨基??. 各向异性板[M ]. 胡海昌, 等译. 北京: 科学出版社, 1963.
[ 2] 萨文??. 孔附近的应力集中[M ]. 卢鼎霍, 等译. 北京: 科学出版社, 1958.
[ 3] L in Chih-b ing. On the S tresses in a p la te conta in ing two circu la r ho les[ J]. J of Applied physics, 1948, 19 ( 1): 77- 81.
[ 4] UkadgaonkerV G. Stress analysis of a p late conta in ing two c ircular ho les having tang ential stresses[ J]. AIAA Journa,l 1980, 18( 1): 125- 128.
[ 5] 西田正孝. 应力集中[M ]. 李安定, 等译. 北京: 机 械工业出版社, 1986.
[ 6] 王林江, 林佳铿. 用多复变量应力函数计算多连通 弹性平面问题[ J]. 应用数学和力学, 1994, 15( 9): 657- 664.
[ 7 ] 许希武, 孙良心, 范绪箕. 多椭圆孔有限大复合材 料层板的应力研究[ J]. 力学学报, 1995, 27 (增 刊) : 66- 73.

Memo

Memo:
-
Last Update: 2006-12-30