Theory and Analysis of Elastic Plates and Shells: 2nd Edition (Hardback) book cover

Theory and Analysis of Elastic Plates and Shells

2nd Edition

By J. N. Reddy

CRC Press

568 pages | 154 B/W Illus.

Purchasing Options:$ = USD
Hardback: 9780849384158
pub: 2006-11-20
SAVE ~$21.75
$145.00
$123.25
x
eBook (VitalSource) : 9780429127601
pub: 2006-11-20
from $28.98


FREE Standard Shipping!

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.

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

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.

About the Series

Series in Systems and Control

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
SCI041000
SCIENCE / Mechanics / General
TEC009020
TECHNOLOGY & ENGINEERING / Civil / General
TEC009070
TECHNOLOGY & ENGINEERING / Mechanical