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Nonlinear theory of shallow shells

Lebedev, L. P.

Nonlinear theory of shallow shells

紀錄類型:	書目-電子資源 : 單行本
正題名/作者:	Nonlinear theory of shallow shells/ I.I. Vorovich ; English translation edited by L.P. Lebedev ; translated by Michael Grinfeld.
作者:	Vorovich, I. I.
其他作者:	Lebedev, L. P.
出版者:	New York :Springer,�999.
面頁冊數:	1 online resource (xvi, 388 pages) :illustrations.
標題:	Shells (Engineering) -
電子資源:	Click here for online access to this book (查閱全文) (EBSCO eBook)
ISBN:	0387227768 (electronic bk.)
ISBN:	9780387227764 (electronic bk.)

Nonlinear theory of shallow shells
Vorovich, I. I.1920-2001.

Nonlinear theory of shallow shells[electronic resource] /I.I. Vorovich ; English translation edited by L.P. Lebedev ; translated by Michael Grinfeld. - New York :Springer,�999. - 1 online resource (xvi, 388 pages) :illustrations. - Applied mathematical sciences ;133. - Applied mathematical sciences (Springer-Verlag New York Inc.) ;v. 133..

Includes bibliographical references (p. [355]-374) and index.

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.

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.

ISBN: 0387227768 (electronic bk.)Subjects--Topical Terms:

1000064815
Shells (Engineering)
Index Terms--Genre/Form:

172687
Electronic books.

LC Class. No.: QA1 / .A647 vol. 133

Dewey Class. No.: 510 s

Nonlinear theory of shallow shells
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505 0 $a 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.
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