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The nonlinear theory of elastic shells : one spatial dimension

Author: A Libai; James G Simmonds
Publisher: Boston : Academic Press, ©1988.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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The Nonlinear Theory of Elastic Shells.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Libai, A. (Avinoam), 1929-
Nonlinear theory of elastic shells.
Boston : Academic Press, ©1988
(DLC) 87033497
(OCoLC)17297434
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: A Libai; James G Simmonds
ISBN: 9780323150811 0323150810 1299542921 9781299542921
OCLC Number: 838102265
Description: 1 online resource (xv, 412 pages) : illustrations
Contents: Front Page; The Nonlinear Theory of Elastic Shells: One Spatial Dimension; Copyright Page; Dedication; Table of Contents; Preface; CHAPTER I. INTRODUCTION; A. What is a Shell?; B. Elastic Shells and Nonlinear Behavior; C. Approaches to Shell Theory; D. The Approach of this Book to Shell Theory; E. Outline of the Book; References; CHAPTER II. THE GENERIC EQUATIONS OF 3-DIMENSIONAL CONTINUUM MECHANICS; A. The Integral Equations of Motion; B. Stress Vectors; C. Heat; D. The Clausius-Duhem ( -Truesdell-Toupin) Inequality; E. The First Piola-Kirchhoff Stress Tensor; F. Gross Equations of Motion. N. Elastic Beamshells and Strain-Energy DensitiesO. Elastostatics; P. Elastodynamics; Q. Variational Principles for Beamshells; R. The Mechanical Theory of Stability; S. Some Remarks on Failure Criteria and Stress Calculations; T. Thermodynamics; U. The Thermodynamic Theory of Stability of Equilibrium; References; CHAPTER V. TORSIONLESS, AXISYMMETRIC MOTION OF SHELLS OF REVOLUTION (AXISHELLS); A. Geometry of the Undeformed Shell; B. Integral Equations of Motion; C. Differential Equations of Motion; D. Differential Equations of Torsionless, Axisymmetric Motion; E. Initial and Spin Bases. F. Jump Conditions and Propagation of SingularitiesG. The Weak Form of the Equations of Motion; H. The Mechanical Work Indentity; I. Mechanical Boundary Conditions; J. The Principle of Virtual Work; K. Load Potentials; L. Strains; M. Compatibility Conditions; N. The Mechanical Theory of Axishells; O. Elastic Axishells and Strain-Energy Densities; P. Alternative Strains and Stresses; Q. Elastostatics; R. The Simplified Reissner Equations for Small Static Strains; S. Special Cases of the Simplified Reissner Equations; T. Nonlinear, Large-Strain Membrane Theory (Including Wrinkling).
Responsibility: A. Libai, J.G. Simmonds.

Abstract:

The Nonlinear Theory of Elastic Shells.

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