2nd Edition

Mechanics of Laminated Composite Plates and Shells Theory and Analysis, Second Edition

By J. N. Reddy Copyright 2003
    856 Pages 306 B/W Illustrations
    by CRC Press

    The use of composite materials in engineering structures continues to increase dramatically, and there have been equally significant advances in modeling for general and composite materials and structures in particular. To reflect these developments, renowned author, educator, and researcher J.N. Reddy created an enhanced second edition of his standard-setting Mechanics of Laminated Composite Plates and Shells: Theory and Analysis.

    This edition includes:

    • A chapter dedicated to the theory and analysis of laminated shells
    • Discussions addressing smart structures and functionally graded materials
    • Reorganization of chapters that improves and clarifies presentation
    • Additional exercises and examples

    A timelessly valuable resource, this book approaches the subject primarily in terms of the finite element method. It provides incomparably full, self-contained coverage of the theories, analytical solutions, and linear and nonlinear finite element models of plate and shell laminated composite structures.

    Equations of Anisotropic Elasticity, Virtual Work Principles, and Variational Methods
    Fiber-Reinforced Composite Materials
    Mathematical Preliminaries
    Equations of Anisotropic Entropy
    Virtual Work Principles
    Variational Methods
    Summary
    Introduction to Composite Materials
    Basic Concepts and Terminology
    Constitutive Equations of a Lamina
    Transformation of Stresses and Strains
    Plan Stress Constitutive Relations
    Classical and First-Order Theories of Laminated Composite Plates
    Introduction
    An Overview of Laminated Plate Theories
    The Classical Laminated Plate Theory
    The First-Order Laminated Plate Theory
    Laminate Stiffnesses for Selected Laminates
    One-Dimensional Analysis of Laminated Composite Plates
    Introduction
    Analysis of Laminated Beams Using CLPT
    Analysis of Laminated Beams Using FSDT
    Cylindrical Bending Using CLPT
    Cylindrical Bending Using FSDT
    Vibration Suppression in Beams
    Closing Remarks
    Analysis of Specially Orthotropic Laminates Using CLPT
    Introduction
    Bending of Simply Supported Rectangular Plates
    Bending of Plates with Two Opposite Edges Simply Supported
    Bending of Rectangular Plates with Various Boundary Conditions
    Buckling of Simply Supported Plates Under Compressive Loads
    Buckling of Rectangular Plates Under In-Plane Shear Load
    Vibration of Simply Supported Plates
    Buckling and Vibration of Plates with Two Parallel Edges Simply Supported
    Transient Analysis
    Closure
    Analytical Solutions of Rectangular Laminated Plates
    Using CLPT
    Governing Equations in Terms of Displacements
    Admissible Boundary Conditions for the Navier Solutions
    Navier Solutions of Antisymmetric Cross-Ply Laminates
    Navier Solutions of Antisymmetric Angle-Ply Laminates
    The Levy Solutions
    Analysis of Midplane Symmetric Laminates
    Transient Analysis
    Summary
    Analytical Solutions of Rectangular Laminated Plates Using FSDT
    Introduction
    Simply Supported Antisymmetric Cross-Ply Laminated Plates
    Simply Supported Antisymmetric Angle-Ply Laminated Plates
    Antisymmetric Cross-Ply Laminates with Two Opposite Edges Simply Supported
    Antisymmetric Angle-Ply Laminates with Two Opposite Edges Simply Supported
    Transient Solutions
    Vibration Control of Laminated Plates
    Summary
    Theory and Analysis of Laminated Shells
    Introduction
    Governing Equations
    Theory of Doubly-Curved Shell
    Vibration and Buckling of Cross-Ply Laminated Circular Cylindrical Shells
    Linear Finite Element Analysis of Composite Plates and Shells
    Introduction
    Finite Element Models of the Classical Plate Theory (CLPT)
    Finite Element Models of Shear Deformation Plate Theory (FSDT)
    Finite Element Analysis of Shells
    Summary
    Nonlinear Analysis of Composite Plates and Shells
    Introduction
    Classical Plate Theory
    First-Order Shear Deformation Plate Theory
    Time Approximation and the Newton-Raphson Method
    Numerical Examples of Plates
    Functionally Graded Plates
    Finite Element Models of Laminated Shell Theory
    Continuum Shell Finite Element
    Postbuckling Response and Progressive Failure of Composite Panels in Compression
    Closure
    Third-Order Theory of Laminated Composite Plates and Shells
    Introduction
    A Third-Order Plate Theory
    Higher-Order Laminate Stiffness Characteristics
    The Navier Solutions
    Levy Solutions of Cross-Ply Laminates
    Finite Element Model of Plates
    Equations of Motion of the Third-Order Theory of Doubly-Curved Shells
    Layerwise Theory and Variable Kinematic Model
    Introduction
    Development of the Theory
    Finite Element Model
    Variable Kinematic Formulations
    Application to Adaptive Structures
    Layerwise Theory of Cylindrical Shell
    Closure
    Subject Index

    Biography

    J. N. Reddy

    "[R]enowned author, educator, and researcher J.N. Reddy has thoroughly revised, updated, and enhanced his standard-setting [book]. … Worked examples in each chapter and more than 300 figures help illustrate difficult concepts, deepen understanding, and demonstrate typical applications … . … Simply put, no other book is as up to date. No other book approaches the subject primarily from the finite element method, and no other book provides such full, self-contained coverage of the theories, analytical solutions, and modeling of laminated composite plate and shell structures."
    - Apollit, Oct. 2004


    "This is an authoritative text. It belongs on the shelf of every person working in composite structures, whether or not their research is in theory and analysis of composite structures… It provides much needed material in the analysis of smart structures and functionally gradient materials as well as on shell structures."
    -Anthony J. Vizzini, Director, Composites Research Laboratory, University of Maryland--Aerospace Engineering