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
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