1.

Record Nr.

UNINA9910254199803321

Autore

Grigorenko Alexander Ya

Titolo

Recent Developments in Anisotropic Heterogeneous Shell Theory : General Theory and Applications of Classical Theory - Volume 1 / / by Alexander Ya. Grigorenko, Wolfgang H. Müller, Yaroslav M. Grigorenko, Georgii G. Vlaikov

Pubbl/distr/stampa

Singapore : , : Springer Singapore : , : Imprint : Springer, , 2016

ISBN

981-10-0353-X

Edizione

[1st ed. 2016.]

Descrizione fisica

1 online resource (129 p.)

Collana

SpringerBriefs in Continuum Mechanics, , 2625-1329

Disciplina

620

Soggetti

Mechanics

Mechanics, Applied

Mathematical models

Solid Mechanics

Mathematical Modeling and Industrial Mathematics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references at the end of each chapters.

Nota di contenuto

Introduction -- Mechanics of anisotropic heterogeneous shells: Fundamental relations for different models -- Discrete-continuous methods for solution -- Solutions based on the classical model -- Conclusions.

Sommario/riassunto

This volume focuses on the relevant general theory and presents some first applications, namely those based on classical shell theory. After a brief introduction, during which the history and state-of-the-art are discussed, the first chapter presents the mechanics of anisotropic heterogeneous shells, covering all relevant assumptions and the basic relations of 3D elasticity, classical and refined shell models. The second chapter examines the numerical techniques that are used, namely discrete orthogonalization, spline-collocation and Fourier series, while the third highlights applications based on classical theory, in particular, the stress-strain state of shallow shells, non-circular shells, shells of revolution, and free vibrations of conical shells. The book concludes with a summary and an outlook bridging the gap to the second volume.