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A universal asymptotic algorithm for elastic thin shells

Published online by Cambridge University Press:  26 February 2001

A. G. ASLANYAN,
A. B. MOVCHAN and
Ö. SELSIL
A. G. ASLANYAN
Affiliation:
Department of Mathematics, MIREA, Moscow, Russia
A. B. MOVCHAN
Affiliation:
Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, UK
Ö. SELSIL
Affiliation:
Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, UK
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Abstract

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This work presents an asymptotic algorithm for the derivation of equations of thin elastic shells. The algorithm is based on the analysis of a boundary value problem for the Navier system in a thin region. The analysis covers both the membrane theory and the moment theory of elastic shells, including the eigenvalue problems.

Information

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 11 , Issue 6 , December 2000, pp. 573 - 594
Copyright
2000 Cambridge University Press