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Equivalent Boundary Integral Equations with indirect unknowns for thin elastic plate bending theory
Authors:Zhang Yao-ming Associate Professor  Doctor  Sun Huan-chun  Yang Jia-xin
Institution:(1) Department of Mathematics and Physics, Shandong Institute of Engineering, 255012 Zibo, P R China;(2) Department of Mechanics, Dalian University of Technology, 116023 Dalian, P R China
Abstract: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. Paper from SUN Huan-chun, Member of Editorial Commitee, AMM Biography: ZHANG Yao-ming (1962-)
Keywords:thin plate bending theory  boundary element method  equivalent boundary integral equations
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