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On the asymptotic behaviour at infinity of solutions of the traction boundary value problem

Published online by Cambridge University Press:  14 November 2011

B.B. Orazov
B.B. Orazov
Affiliation:
Department of Higher Mathematics, Moscow Technical High School, 2 Baumanskay Street, Moscow 107005, U.S.S.R
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Synopsis

Korn's inequalities are proved for star-shaped domains and it is shown how the constants in these inequalities depend on the dimensions of the domain. These inequalities are then used to prove a generalisation of Saint-Venant's Principle for nonlinear elasticity and additionally to establish the asymptotic behaviour of solutions to the traction boundary value problem for a non-prismatic cylinder.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 111 , Issue 1-2 , 1989 , pp. 33 - 52
Copyright
Copyright © Royal Society of Edinburgh 1989

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