Hostname: page-component-848d4c4894-p2v8j Total loading time: 0.001 Render date: 2024-05-18T10:12:43.218Z Has data issue: false hasContentIssue false

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)