EQUIVALENT BOUNDARY INTEGRAL EQUATIONS WITH INDIRECT UNKNOWNS FOR THIN ELASTIC PLATE BENDING THEORY

Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (11): 1246-1255.

EQUIVALENT BOUNDARY INTEGRAL EQUATIONS WITH INDIRECT UNKNOWNS FOR THIN ELASTIC PLATE BENDING THEORY

张耀明¹, 孙焕纯², 杨家新²

1. Department of Mathematics and Physics, Shandong Institute of Engineering, Zibo 255012, P R China;
2. Department of Mechanics, Dalian University of Technology, Dalian 116023, P R China

收稿日期:1999-05-08 修回日期:2000-06-18 出版日期:2000-11-18 发布日期:2000-11-18

EQUIVALENT BOUNDARY INTEGRAL EQUATIONS WITH INDIRECT UNKNOWNS FOR THIN ELASTIC PLATE BENDING THEORY

ZHANG Yao-ming¹, SUN Huan-chun², YANG Jia-xin²

1. Department of Mathematics and Physics, Shandong Institute of Engineering, Zibo 255012, P R China;
2. Department of Mechanics, Dalian University of Technology, Dalian 116023, P R China

Received:1999-05-08 Revised:2000-06-18 Online:2000-11-18 Published:2000-11-18

摘要/Abstract

摘要： Equivalent Boundary Integral Equations (EBIE) with indirect unknowns for thin elastic plate bending theory, which is equivalent to the original boundary value problem, is established rigorously by mathematical technique of non-analytic continuation and is fully proved by means of the variational principle. The previous three kinds of boundary integral equations with indirect unknowns are discussed thoroughly and it is shown that all previous results are not EBIE.

中图分类号:

O342

张耀明;孙焕纯;杨家新. EQUIVALENT BOUNDARY INTEGRAL EQUATIONS WITH INDIRECT UNKNOWNS FOR THIN ELASTIC PLATE BENDING THEORY[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(11): 1246-1255.

ZHANG Yao-ming;SUN Huan-chun;YANG Jia-xin. EQUIVALENT BOUNDARY INTEGRAL EQUATIONS WITH INDIRECT UNKNOWNS FOR THIN ELASTIC PLATE BENDING THEORY[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(11): 1246-1255.

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EQUIVALENT BOUNDARY INTEGRAL EQUATIONS WITH INDIRECT UNKNOWNS FOR THIN ELASTIC PLATE BENDING THEORY

EQUIVALENT BOUNDARY INTEGRAL EQUATIONS WITH INDIRECT UNKNOWNS FOR THIN ELASTIC PLATE BENDING THEORY

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