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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Jawson M A, Symm G T.Integral Equation Methods in Potential and Elastics [M]. London: Academic Press, 1977.
Hartman F.Introduction to Boundary Element: Theory and Applications [M]. Berlin: Springer-Verlag, 1989.
Giranlt V, Raviart P A.Finite Element Approximation of the Navier-Stokes Equations [M]. Berlin: Springer-Verlag, 1986.
ZHANG Yao-ming. The sufficient and necessary nonsingular boundary integral equations[D].Doctor's Degree Thesis. Dalian: Dalian University of Technology, 1996. (in Chinese)
SUN Huan-chun, ZHANG Yao-ming.Nonsingular Boundary Element Method [M]. Dalian: Dalian University of Technology Press, 1999. (in Chinese)
Venturini W S, Paiva J B. Boundary element for plate bending analysis [J].Eng Anal Boundary Element, 1993,11(2):1–8.
Author information
Authors and Affiliations
Additional information
Paper from SUN Huan-chun, Member of Editorial Commitee, AMM
Biography: ZHANG Yao-ming (1962-)
Rights and permissions
About this article
Cite this article
Yao-ming, Z., Huan-chun, S. & Jia-xin, Y. Equivalent Boundary Integral Equations with indirect unknowns for thin elastic plate bending theory. Appl Math Mech 21, 1246–1255 (2000). https://doi.org/10.1007/BF02459245
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02459245