2nd Edition

Theory and Analysis of Elastic Plates and Shells




ISBN 9780849384158
Published November 20, 2006 by CRC Press
568 Pages 154 B/W Illustrations

USD $155.00

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Book Description

Because plates and shells are common structural elements in aerospace, automotive, and civil engineering structures, engineers must understand the behavior of such structures through the study of theory and analysis. Compiling this information into a single volume, Theory and Analysis of Elastic Plates and Shells, Second Edition presents a complete, up-to-date, and unified treatment of classical and shear deformation plates and shells, from the basic derivation of theories to analytical and numerical solutions.

Revised and updated, this second edition incorporates new information in most chapters, along with some rearrangement of topics to improve the clarity of the overall presentation. The book presents new material on the theory and analysis of shells, featuring an additional chapter devoted to the topic. The author also includes new sections that address Castigliano's theorems, axisymmetric buckling of circular plates, the relationships between the solutions of classical and shear deformation theories, and the nonlinear finite element analysis of plates. The book provides many illustrations of theories, formulations, and solution methods, resulting in an easy-to-understand presentation of the topics.

Like the previous edition, this book remains a suitable textbook for a course on plates and shells in aerospace, civil, and mechanical engineering curricula and continues to serve as a reference for industrial and academic structural engineers and scientists.

Table of Contents

PREFACE TO THE SECOND EDITION
PREFACE
ABOUT THE AUTHOR

VECTORS, TENSORS, AND EQUATIONS OF ELASTICITY
Introduction
Vectors, Tensors, and Matrices
Equations of Elasticity
Transformation of Stresses, Strains, and Stiffnesses

ENERGY PRINCIPLES AND VARIATIONAL METHODS
Virtual Work
Energy Principles
Castigliano's Theorems
Variational Methods

CLASSICAL THEORY OF PLATES
Introduction
Assumptions of the Theory
Displacement Field and Strains
Equations of Motion
Boundary and Initial Conditions
Plate Stiffness Coefficients
Stiffness Coefficients of Orthotropic Plates
Equations of Motion in Terms of Displacements

ANALYSIS OF PLATE STRIPS
Introduction
Governing Equations
Bending Analysis
Buckling under Inplane Compressive Load
Free Vibration
Transient Analysis

ANALYSIS OF CIRCULAR PLATES
Introduction
Governing Equations
Axisymmetric Bending
Asymmetrical Bending
Free Vibration
Axisymmetric Buckling

BENDING OF SIMPLY SUPPORTED RECTANGULAR PLATES
Introduction
Navier Solutions
Lévy's Solutions

BENDING OF RECTANGULAR PLATES WITH VARIOUS BOUNDARY CONDITIONS
Introduction
Lévy Solutions
Approximate Solutions by the Ritz Method

GENERAL BUCKLING OF RECTANGULAR PLATES
Buckling of Simply Supported Plates under Compressive Loads
Buckling of Plates Simply Supported along Two Opposite Sides and Compressed in the Direction Perpendicular to Those Sides
Buckling of Rectangular Plates Using the Ritz Method

DYNAMIC ANALYSIS OF RECTANGULAR PLATES
Introduction
Natural Vibration of Simply Supported Plates
Natural Vibration of Plates with Two Parallel Sides Simply Supported
Natural Vibration of Plates with General Boundary Conditions
Transient Analysis

SHEAR DEFORMATION PLATE THEORIES
First-Order Shear Deformation Plate Theory
The Navier Solutions of FSDT
The Third-Order Plate Theory
The Navier Solutions of TSDT
Relationships between Solutions of Classical and Shear Deformation Theories

THEORY AND ANALYSIS OF SHELLS
Introduction
Governing Equations
Analytical Solutions of Thin Cylindrical Shells
Analytical Solutions of Shells with Double Curvature
Vibration and Buckling of Circular Cylinders

FINITE ELEMENT ANALYSIS OF PLATES
Introduction
Finite Element Models of CPT
Finite Element Models of FSDT
Nonlinear Finite Element Models

REFERENCES
SUBJECT INDEX

Summaries and Problems appear in every chapter.

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Reviews

Praise for the previous edition
"This new book by J.N. Reddy digests more than two decades of research by him in plate theories (specially for thick plates and laminated composites), variational methods, and finite elements into an excellent textbook, which can be used very well by beginning or advanced graduate students, or by many engineers who deal with aerospace, automotive, and civil engineering structures. That is, the material is presented carefully and reasonably thoroughly in language that is easy to follow. This is the best textbook that this reviewer has seen for understanding the most important aspects of plate theory, and containing modern, important aspects of plate theory, which Timoshenko hardly could touch upon at all (in some cases they were not yet recognized topics), especially thick plates, laminated composites, and finite elements. And yet Reddy's book accomplishes good, useful introductions to all these topics in a mere 540 pages. Theory and Analysis of Elastic Plates is a textbook that clarifies the important aspects of plate theory, emphasizing its most important modern ones. For this purpose it is the best book available, in this reviewer's experience. As such it belongs on the bookshelves of every technical library, and every graduate student or engineer seriously interested in plates, and should become a widely used textbook in graduate-level courses."
—Arthur W. Leissa, Ohio State University, Applied Mechanics Reviews