Micropolar theory of shells and plates / Sergey A. Ambartsumian (posthumous).
2021
TA660.S5
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Title
Micropolar theory of shells and plates / Sergey A. Ambartsumian (posthumous).
Edition
[Second edition]
ISBN
9783030713263 (electronic bk.)
3030713261 (electronic bk.)
9783030713256 (print)
3030713261 (electronic bk.)
9783030713256 (print)
Published
Cham, Switzerland : Springer, [2021]
Language
English
Description
1 online resource (xvi, 172 pages) : illustrations.
Item Number
10.1007/978-3-030-71326-3 doi
Call Number
TA660.S5
Dewey Decimal Classification
624.1/7762
Summary
For the first time, the Micropolar Theory of Elasticity is applied to solving a wide variety of problems connected to the specifics of nanomaterials. Namely, their unique physical-mechanical characteristics and behaviors under various stress-induced conditions. These theories have been constructed based on the equations of the classical theory of elasticity as well as other equations that have till now remained untouched in their application to molecular theories of solid deformable media. The book also introduces a new applied micropolar theory of thin shells which is based on Cosserat's pseudo-continuum. It explores the theory's application to a category of nanomaterial shells and plates previously neglected from classical theories due to their unconventional size and structure. Theoretical results are accompanied by solutions of certain problems, essential for various applications. The book consists of six chapters. The first chapter is a review of the essential data on the non-symmetric theory of elasticity. The second and third chapters are devoted to various theories of plate bending and solutions to some basic problems. Chapter four refers to membrane or, so-called, momentary shell theory. Chapter five deals with the theory of very shallow shells. Finally, chapter six presents the geometry of the nonlinear theory of plates and the theory of very shallow shells. The book is intended for researchers, postgraduate students, and engineers, interested in the design of structures from nanomaterials and in the problems of mechanics of deformable bodies, theories of shells and plates, and their applications in micromechanics.
Bibliography, etc. Note
Includes bibliographical references.
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Source of Description
Online resource; title from PDF title page (SpringerLink, viewed July 9, 2021).
Series
Foundations of engineering mechanics, 1612-1384
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Table of Contents
Main Equations and Relations of the Theory of Non-Symmetric Elasticity
Bending of Plates
Somme Trivial Problems of Plates
Membrein Theory of Shells
Theory of Very Shallow Shells
Some Other Aspects of the Theory of Plates and Shells.
Bending of Plates
Somme Trivial Problems of Plates
Membrein Theory of Shells
Theory of Very Shallow Shells
Some Other Aspects of the Theory of Plates and Shells.