Laminated composite plates and shells : 3D modelling /

Laminated composite plates and shells : 3D modelling /

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Bibliographic Details
Author / Creator:Ye, Jianqiao, 1957-
Imprint:London ; New York : Springer, c2003.
Description:xiv, 273 p. : ill. ; 24 cm.
Language:English
Subject:
Plates (Engineering) -- Mathematical models.
Shells (Engineering) -- Mathematical models.
Laminated materials -- Mechanical properties -- Mathematical models.
Composite materials -- Mechanical properties -- Mathematical models.
Composite materials -- Mechanical properties -- Mathematical models.
Laminated materials -- Mechanical properties -- Mathematical models.
Plates (Engineering) -- Mathematical models.
Shells (Engineering) -- Mathematical models.
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/4852548
Hidden Bibliographic Details
ISBN:1852334541 (alk. paper)
Notes:Includes bibliographical references (p. [257]-268) and index.
Table of Contents:
  • 1. Introduction to Composite Materials
  • 1.1. Introduction
  • 1.2. Classification of Composite Materials
  • 1.2.1. Fibre Composites
  • 1.2.2. Particle Composites
  • 1.2.3. Laminated Composites
  • 1.3. Characterisation of Unidirectional Fibre Composite Materials
  • 1.3.1. Mechanics of Material Approach to the Moduli
  • 1.3.2. Elasticity Approach to the Moduli
  • 1.4. Three-dimensional Modelling of Laminated Composite Materials
  • 1.4.1. Three-dimensional Analytical Modelling of Laminated Composite Plates and Shells
  • 1.4.2. Three-dimensional Numerical Modelling of Laminated Composite Plates and Shells
  • 2. Fundamental Equations of Three-dimensional Elasticity
  • 2.1. Introduction
  • 2.2. Equilibrium Equations of Stresses
  • 2.3. Strain-Displacement Relations
  • 2.4. Stress-Strain Relations
  • 2.4.1. Hooke's Law of Elasticity
  • 2.4.2. Engineering Constants for Stress-Strain Relations of Orthotropic Materials
  • 2.4.3. Engineering Constants for Stress-Strain Relations of a Lamina
  • 3. State Variable Equation of a Continuous System
  • 3.1. Introduction
  • 3.2. Concept of State and State Variables
  • 3.3. Solutions for a Linear Time-invariant System
  • 3.3.1. The Eigenvalue Problem
  • 3.3.2. Diagonalisation of Square Matrices
  • 3.3.3. Calculation of e [A]t by Series Expansions
  • 3.3.4. Calculation of e [A]t by Matrix Transformation
  • 3.3.5. Calculation of e [A]t by the Cayley-Hamilton Method
  • 3.3.6. Calculation of e [A]t by the Time Step Integration Method
  • 3.4. Solutions for a Time-varying System
  • 3.4.1. The Successive Approximation Method for Homogeneous Equations
  • 3.4.2. The Successive Approximation Method for Non-homogeneous Equations
  • 3.5. State Variable Equation of Elasticity
  • 4. Bending, Vibration and Buckling of Laminated Rectangular Plates
  • 4.1. Introduction
  • 4.2. Free Vibration of Cross-ply Laminated Plates
  • 4.2.1. Free Vibration of Simply Supported Plates
  • 4.2.1.1. Free Vibration of Single-layered Plates
  • 4.2.1.2. Free Vibration of Laminated Plates
  • 4.2.2. Free Vibration of Plates with Clamped Edges
  • 4.3. Buckling of Cross-ply Laminated Plates
  • 4.4. Bending of Cross-ply Laminated Plates
  • 4.4.1. Bending of Simply Supported Laminated Plates
  • 4.4.2. Bending of Laminated Plates with Clamped Edges
  • 4.4.3. Bending of Laminated Plates with Free Edges
  • 4.4.4. Other Topics on Plate Bending
  • 4.4.4.1. Bending of Laminated Continuous Plates
  • 4.4.4.2. Bending of Laminated Piezoelectric Plates
  • 4.4.5. Asymptotic Three-dimensional Solution
  • 5. Axisymmetric Vibration, Buckling and Bending of Laminated Plates with Transversely Isotropic Layers
  • 5.1. Introduction
  • 5.2. Axisymmetric Free Vibration of Laminated Plates
  • 5.2.1. Axisymmetric Vibration of Laminated Circular Plates
  • 5.2.2. Axisymmetric Vibration of Laminated Annular Plates
  • 5.2.2.1. State Space Solution
  • 5.2.2.2. State Space with Hankel Transform Method
  • 5.3. Axisymmetric Buckling of Laminated Plates
  • 5.3.1. Axisymmetric Buckling of Laminated Circular Plates
  • 5.3.2. Axisymmetric Buckling of Laminated Annular Plates
  • 5.4. Axisymmetric Bending of Laminated Circular Plates
  • 5.4.1. Axisymmetric Bending of Circular Plates Under Uniformly Distributed Transverse Pressure
  • 5.4.2. Axisymmetric Bending of Circular Plates on Winkler'sFoundation
  • 6. Vibration, Buckling and Bending of Laminated Cylindrical Shells
  • 6.1. Introduction
  • 6.2. Vibration of Laminated Cylindrical Shells
  • 6.2.1. Vibration of Simply Supported Laminated Cylindrical Shells
  • 6.2.1.1. Free Vibration of Simply Supported Laminated Cylindrical shells
  • 6.2.1.2. Forced Vibration of Simply Supported Laminated Cylindrical Shells
  • 6.2.2. Axisymmetric Vibration of Simply Supported Laminated Cylinders Composed of Monoclinic Material Layers
  • 6.2.3. Free Vibration of Cross-ply Laminated Cylindrical Shells with Clamped Edges
  • 6.2.4. Free Vibration of Cross-ply Laminated Cylindrical Shells with Interior Point Supports
  • 6.2.5. Axisymmetric Vibration of Cross-ply Laminated Cylinders with Ring Stiffeners
  • 6.3. Buckling of Laminated Cross-ply Cylindrical Shells
  • 6.3.1. Pre-buckling State in a Thin Orthotropic Layer
  • 6.3.2. Perturbed State in a Thin Orthotropic Layer
  • 6.3.3. Solution for Thick or Laminated Cylindrical Shells
  • 6.4. Buckling of Multi-laminated Angle-ply Cylindrical Shells
  • 6.5. Bending of Laminated Cylindrical Shells
  • 6.5.1. Bending of Simply Supported Cylindrical Shells
  • 6.5.1.1. Bending of Cross-ply Laminated Cylindrical Shells
  • 6.5.1.2. Axisymmetric Bending of Angle-ply Laminated Cylinders
  • 6.5.2. Bending of Cross-ply Laminated Cylinders with Clamped Edges
  • 6.5.3. Bending of Cross-ply Laminated Cylinders with Free Edges
  • 6.5.4. Bending of Laminated Continuous Cylinders
  • 6.5.5. Generalized Plane Strain, Torsion and Bending of Laminated Cylinders
  • 6.6. Stationary Thermo-elastic Bending of Laminated Cylinders
  • 7. Analysis of Laminated Shells of Various Shapes
  • 7.1. Introduction
  • 7.2. Free Vibration of Transversely Isotropic Spheres
  • 7.2.1. Free Axisymmetric Vibration of Transversely Isotropic Thin Spheres
  • 7.2.2. Free Axisymmetric Vibration of a Laminated Thick Sphere Composed of Transversely Isotropic Layers
  • 7.3. Static Analysis of Piezoelectric Hollow Spheres
  • 7.4. Free Vibration of Doubly-curved Shells
  • 7.5. Bending of Anisotropic Inhomogeneous, Non-circular Cylinders
  • 8. Decay of Edge Effects in Laminated Composites
  • 8.1. Introduction
  • 8.2. Decay Rate of Stresses in Hollow Cylinders with Cross-ply Lay-ups
  • 8.3. Decay Rate of Stresses in Hollow Cylinders with Angle-ply Lay-ups
  • 8.4. Decay of Stresses in Laminated Strips
  • 9. Semi-analytical State Equation Method
  • 9.1. Introduction
  • 9.2. Semi-analytical State Space Finite Element Method for Laminated Plates
  • 9.2.1. Matrix Representation of the Three-dimensional Equations of Elasticity
  • 9.2.2. The Principle of Virtual Displacements
  • 9.2.3. The Principle of Virtual Forces
  • 9.2.4. Finite Element Approximation in the Plane of a Plate
  • 9.2.5. State Equation of the Semi-analytical FE Solution
  • 9.3. Semi-analytical Finite Difference State Equation Method for Laminated Plates and Shells
  • 9.3.1. General Formulation
  • 9.3.2. Finite Difference Approximation
  • 9.4. State Space Boundary Element Method
  • 9.4.1. Derivation of the Fundamental Solution
  • 9.4.2. The Boundary Element Method
  • 9.5. Semi-analytical Variational State Space Method for Laminated Plates and Shells
  • 9.5.1. Galerkin Weighting and State Space Method
  • 9.5.2. Weighted Form of State Equation
  • References
  • Index
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