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A universal asymptotic algorithm for elastic thin shells

Published online by Cambridge University Press:  26 February 2001

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

Abstract

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.

Type
Research Article
Copyright
2000 Cambridge University Press

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