Nonlinear Theory of Shallow Shells / Edition 1

by Iosif I. Vorovich, Leonid P. Lebedev

Overview

This book presents rigorous treatment of boundary value problems in nonlinear theory of shallow shells. The consideration of the problems is carried out using methods of nonlinear functional analysis.

Product Details

ISBN-13:	9780387983394
Publisher:	Springer New York
Publication date:	12/04/1998
Series:	Applied Mathematical Sciences Series , #133
Edition description:	1999
Pages:	390
Product dimensions:	6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

The fundamental boundary value problems of the non-linear theory of shallow shells.- Mathematical prerequisites.- The topological method of solution of the fundamental boundary value problems of the non-linear theory of shallow shells in terms of displacements.- The topological methods of solution of the fundamental boundary value problems of the non-linear theory of shallow shells in terms of a stress function.- The variational methods of solution of the boundary value problems of the non-linear theory of shallow shells.- Some numerical-analytic methods in the non-linear theory of shallow shells.- Direct methods in the non-linear theory of shallow shells.- Formulation of the stability problems.- Global uniqueness of solutions.- The rigidity of shells.- Classes of well-posedness.- The global stability of the momentless stress-strain state of a shallow shell.- The existences of a lower critical number.