كتاب Mechanics of Laminated Composite Plates and Shells
منتدى هندسة الإنتاج والتصميم الميكانيكى
بسم الله الرحمن الرحيم

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 كتاب Mechanics of Laminated Composite Plates and Shells

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عدد المساهمات : 15558
التقييم : 26198
تاريخ التسجيل : 01/07/2009
العمر : 31
الدولة : مصر
العمل : مدير منتدى هندسة الإنتاج والتصميم الميكانيكى
الجامعة : المنوفية

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مُساهمةموضوع: كتاب Mechanics of Laminated Composite Plates and Shells    كتاب Mechanics of Laminated Composite Plates and Shells  Emptyالسبت 24 أغسطس 2019, 12:52 am

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Mechanics of Laminated Composite Plates and Shells
Second Edition
J. N. Reddy  

كتاب Mechanics of Laminated Composite Plates and Shells  M_o_l_10
و المحتوى كما يلي :


Contents
Preface to the Second Edition xix
Preface to the First Edition xxi
1 Equations of Anisotropic Elasticity, Virtual Work Principles,
and Variational Methods 1
1.1 Fiber-Reinforced Composite Materials
1.2 Mathematical Preliminaries
1.2.1 General Comments
1.2.2 Vectors and Tensors
1.3 Equations of Anisotropic Entropy
1.3.1 Introduction
1.3.2 Strain-Displacement Equations
1.3.3 Strain Compatibility Equations
1.3.4 Stress Measures
1.3.5 Equations of Motion
1.3.6 Generalized Hooke's Law
1.3.7 Thermodynamic Principles
1.4 Virtual Work Principles
1.4.1 Introduction
1.4.2 Virtual Displacements and Virtual Work . .
1.4.3 Variational Operator and Euler Equations .
1.4.4 Principle of Virtual Displacements
1.5 Variational Methods
1.5.1 Introduction
1.5.2 The Ritz Method
1.5.3 Weighted-Residual Methods
1.6 Summary
Problems
References for Additional Reading
2 Introduction to Composite Materials
2.1 Basic Concepts and Terminology
2.1.1 Fibers and Matrix
2.1.2 Laminae and Laminates
2.2 Constitutive Equations of a Lamina
2.2.1 Generalized Hooke’s Law
2.2.2 Characteristics of a Unidirectional Lamina
2.3 Transformation of Stresses and Strains
2.3.1 Coordinate Transformations
2.3.2 Transformation of Stress Components
2.3.3 Transformation of Strain Components
2.3.4 Transformation of Material Coefficients . . . .
2.4 Plan Stress Constitutive Relations
Problems
References for Additional Reading
3 Classical and First-Order Theories of Laminated
Composite Plates
3.1 Introduction
3.1.1 Preliminary Comments
3.1.2 Classification of Structural Theories
3.2 An Overview of Laminated Plate Theories
3.3 The Classical Laminated Plate Theory
3.3.1 Assumptions
3.3.2 Displacements and Strains
3.3.3 Lamina Constitutive Relations
3.3.4 Equations of Motion
3.3.5 Laminate Constitutive Equations
3.3.6 Equations of Motion in Terms of Displacements
3.4 The First-Order Laminated Plate Theory
3.4.1 Displacements and Strains
3.4.2 Equations of Motion
3.4.3 Laminate Constitutive Equations
3.4.4 Equations of Motion in Terms of Displacements
3.5 Laminate Stiffnesses for Selected Laminates
3.5.1 General Discussion
3.5.2 Single-Layer Plates
3.5.3 Symmetric Laminates
3.5.4 Antisymmetric Laminates
3.5.5 Balanced and Quasi-Isotropic Laminates
Problems
References for Additional Reading
4 One-Dimensional Analysis of Laminated Composite Plates
4.1 Introduction
4.2 Analysis of Laminated Beams Using CLPT
4.2.1 Governing Equations
4.2.2 Bending
4.2.3 Buckling
4.2.4 Vibration
4.3 Analysis of Laminated Beams Using FSDT
4.3.1 Governing Equations
4.3.2 Bending
4.3.3 Buckling
4.3.4 Vibration
4.4 Cylindrical Bending Using CLPT
4.4.1 Governing Equations
4.4.2 Bending
4.4.3 Buckling
4.4.4 Vibration
4.5 Cylindrical Bending Using FSDT
4.5.1 Governing Equations
4.5.2 Bending
4.5.3 Buckling
4.5.4 Vibration
4.6 Vibration Suppression in Beams
4.6.1 Introduction
4.6.2 Theoretical Formulation
4.6.3 Analytical Solution
4.6.4 Numerical Results
4.7 Closing Remarks
Problems
References for Additional Reading
5 Analysis of Specially Orthotropic Laminates Using CLPT . .
5.1 Introduction
5.2 Bending of Simply Supported Rectangular Plates
5.2.1 Governing Equations
5.2.2 The Navier Solution
5.3 Bending of Plates with Two Opposite Edges Simply Supported
5.3.1 The Levy Solution Procedure
5.3.2 Analytical Solutions
5.3.3 Ritz Solution
5.4 Bending of Rectangular Plates with Various Boundary Conditions . . . . 265
5.4.1 Virtual Work Statements
5.4.2 Clamped Plates
5.4.3 Approximation Functions for Other Boundary Conditions
5.5 Buckling of Simply Supported Plates Under Compressive Loads
5.5.1 Governing Equations
5.5.2 The Navier Solution
5.5.3 Biaxial Compression of a Square Laminate ( k = 1)
5.5.4 Biaxial Loading of a Square Laminate
5.5.5 Uniaxial Compression of a Rectangular Laminate ( k — 0)
5.6 Buckling of Rectangular Plates Under In-Plane Shear Load
5.6.1 Governing Equation
5.6.2 Simply Supported Plates
5.6.3 Clamped Plates
5.7 Vibration of Simply Supported Plates
5.7.1 Governing Equations
5.7.2 Solution
5.8 Buckling and Vibration of Plates with Two Parallel Edges
Simply Supported
5.8.1 Introduction
5.8.2 Buckling by Direct Integration
5.8.3 Vibration by Direct Integration
5.8.4 Buckling and Vibration by the State-Space Approach
5.9 Transient Analysis
5.9.1 Preliminary Comments
5.9.2 Spatial Variation of the Solution
5.9.3 Time Integration
5.10 Closure
Problems
References for Additional Reading
6 Analytical Solutions of Rectangular Laminated Plates
Using CLPT
6.1 Governing Equations in Terms of Displacements
6.2 Admissible Boundary Conditions for the Navier Solutions . .
6.3 Navier Solutions of Antisymmetric Cross-Ply Laminates
6.3.1 Boundary Conditions
6.3.2 Solution
6.3.3 Bending
6.3.4 Determination of Stresses
6.3.5 Buckling
6.3.6 Vibration
6.4 Navier Solutions of Antisymmetric Angle-Ply Laminates . . .
6.4.1 Boundary Conditions
6.4.2 Solution
6.4.3 Bending
6.4.4 Determination of Stresses
6.4.5 Buckling
6.4.6 Vibration
6.5 The Levy Solutions
6.5.1 Introduction
6.5.2 Solution Procedure
6.5.3 Antisymmetric Cross-Ply Laminates
6.5.4 Antisymmetric Angle-Ply Laminates
6.6 Analysis of Midplane Symmetric Laminates
6.6.1 Introduction
6.6.2 Governing Equations
6.6.3 Weak Forms
6.6.4 The Ritz Solution
6.6.5 Simply Supported Plates
6.6.6 Other Boundary Conditions
6.7 Transient Analysis
6.7.1 Preliminary Comments
6.7.2 Equations of Motion
6.7.3 Numerical Time Integration
6.7.4 Numerical Results
6.8 Summary
Problems
References for Additional Reading
7 Analytical Solutions of Rectangular Laminated Plates
Using FSDT 377
7.1 Introduction
7.2 Simply Supported Antisymmetric Cross-Ply Laminated Plates
7.2.1 Solution for the General Case
7.2.2 Bending
7.2.3 Buckling
7.2.4 Vibration
7.3 Simply Supported Antisymmetric Angle-Ply Laminated Plates
7.3.1 Boundary Conditions
7.3.2 The Navier Solution
7.3.3 Bending
7.3.4 Buckling
7.3.5 Vibration
7.4 Antisymmetric Cross-Ply Laminates with Two Opposite
Edges Simply Supported
7.4.1 Introduction
7.4.2 The Levy Type Solution
7.4.3 Numerical Examples
7.5 Antisymmetric Angle-Ply Laminates with Two Opposite
Edges Simply Supported
7.5.1 Introduction
7.5.2 Governing Equations
7.5.3 The Levy Solution
7.5.4 Numerical Examples
7.6 Transient Solutions
7.7 Vibration Control of Laminated Plates
7.7.1 Preliminary Comments
7.7.2 Theoretical Formulation
7.7.3 Velocity Feedback Control
7.7.4 Analytical Solution
7.7.5 Numerical Results and Discussion
7.8 Summary
Problems
References for Additional Reading
8 Theory and Analysis of Laminated Shells
8.1 Introduction
8.2 Governing Equations
8.2.1 Geometric Properties of the Shell
8.2.2 Kinetics of the Shell
8.2.3 Kinematics of the Shell
8.2.4 Equations of Motion
8.2.5 Laminate Constitutive Relations
8.3 Theory of Doubly-Curved Shells
8.3.1 Equations of Motion
8.3.2 Analytical Solution
8.4 Vibration and Buckling of Cross-Ply Laminated
Circular Cylindrical Shells
8.4.1 Equations of Motion
8.4.2 Analytical Solution Procedure
8.4.3 Boundary Conditions
8.4.4 Numerical Results
Problems
References for Additional Reading
9 Linear Finite Element Analysis of Composite Plates and Shells . . . .487
9.1 Introduction
9.2 Finite Element Models of the Classical Plate Theory (CLPT)
9.2.1 Weak Forms
9.2.2 Spatial Approximations
9.2.3 Semidiscrete Finite Element Model
9.2.4 Fully Discretized Finite Element Models
9.2.5 Quadrilateral Elements and Numerical Integration
9.2.6 Post-Computation of Stresses
9.2.7 Numerical Results
9.3 Finite Element Models of Shear Deformation Plate Theory (FSDT) . . . 515
9.3.1 Weak Forms
9.3.2 Finite Element Model
9.3.3 Penalty Function Formulation and Shear Locking
9.3.4 Post-Computation of Stresses
9.3.5 Bending Analysis
9.3.6 Vibration Analysis
9.3.7 Transient Analysis
9.4 Finite Element Analysis of Shells
9.4.1 Weak Forms
9.4.2 Finite Element Model
9.4.3 Numerical Results
9.5 Summary
Problems
References for Additional Reading
10 Nonlinear Analysis of Composite Plates and Shells
10.1 Introduction
10.2 Classical Plate Theory
10.2.1 Governing Equations
10.2.2 Virtual Work Statement
10.2.3 Finite Element Model
10.3 First-Order Shear Deformation Plate Theory
10.3.1 Governing Equations
10.3.2 Virtual Work Statements
10.3.3 Finite Element Model
10.4 Time Approximation and the Newton-Raphson Method
10.4.1 Time Approximations
10.4.2 The Newton-Raphson Method
10.4.3 Tangent Stiffness Coefficients for CLPT
10.4.4 Tangent Stiffness Coefficients for FSDT
10.4.5 Membrane Locking
10.5 Numerical Examples of Plates
10.5.1 Preliminary Comments
10.5.2 Isotropic and Orthotropic Plates
10.5.3 Laminated Composite Plates
10.5.4 Effect of Symmetry Boundary Conditions on Nonlinear
Response
10.5.5 Nonlinear Response Under In-Plane Compressive Loads
10.5.6 Nonlinear Response of Antisymmetric Cross-Ply Laminated
Plate Strips
10.5.7 Transient Analysis of Composite Plates
10.6 Functionally Graded Plates
10.6.1 Background
10.6.2 Theoretical Formulation
10.6.3 Thermomechanical Coupling
10.6.4 Numerical Results
10.7 Finite Element Models of Laminated Shell Theory
10.7.1 Governing Equations
10.7.2 Finite Element Model
10.7.3 Numerical Examples
10.8 Continuum Shell Finite Element
10.8.1 Introduction
10.8.2 Incremental Equations of Motion
10.8.3 Continuum Finite Element Mode’
10.8.4 Shell Finite Element
10.8.5 Numerical Examples
10.8.6 Closure
10.9 Postbuckling Response and Progressive Failure of Composite
Panels in Compression
10.9.1 Preliminary Comments
10.9.2 Experimental Study
10.9.3 Finite Element Models
10.9.4 Failure Analysis
10.9.5 Results for Panel C4
10.9.6 Results for Panel H4
10.10 Closure
Problems
References for Additional Reading
11 Third-Order Theory of Laminated Composite Plates and Shells . .671
11.1 Introduction
11.2 A Third-Order Plate Theory
11.2.1 Displacement Field
11.2.2 Strains and Stresses
11.2.3 Equations of Motion
11.3 Higher-Order Laminate Stiffness Charac teristics
11.3.1 Single-Layer Plates
11.3.2 Symmetric Laminates
11.3.3 Antisymmetric Laminates
11.4 The Navier Solutions
11.4.1 Preliminary Comments
11.4.2 Antisymmetric Cross-Ply Laminates
11.4.3 Antisymmetric Angle-Ply Laminates
11.4.4 Numerical Results
11.5 Levy Solutions of Cross-Ply Laminates
11.5.1 Preliminary Comments
11.5.2 Solution Procedure
11.5.3 Numerical Results
11.6 Finite Element Model of Plates
11.6.1 Introduction
11.6.2 Finite Element Model
11.6.3 Numerical Results
11.6.4 Closure
11.7 Equations of Motion of the Third-Order Theory of Doubly-Curved
Shells
Problems
References for Additional Reading
12 Layerwise Theory and Variable Kinematic Models
12.1 Introduction
12.1.1 Motivation
12.1.2 An Overview of Layerwise Theories
12.2 Development of the Theory
12.2.1 Displacement Field
12.2.2 Strains and Stresses
12.2.3 Equations of Motion
12.2.4 Laminate Constitutive Equations
12.3 Finite Element Model
12.3.1 Layerwise Model
12.3.2 Full Layerwise Model Versus 3-D Finite Element Model
12.3.3 Considerations for Modeling Relatively Thin Laminates
12.3.4 Bending of a Simply Supported (0/90/0) Laminate
12.3.5 Free Edge Stresses in a (45/-45)s Laminate
12.4 Variable Kinematic Formulations
12.4.1 Introduction
12.4.2 Multiple Assumed Displacement Fields
12.4.3 Incorporation of Delamination Kinematics
12.4.4 Finite Element Model
12.4.5 Illustrative Examples
12.5 Application to Adaptive Structures
12.5.1 Introduction
12.5.2 Governing Equations
12.5.3 Finite Element Model
12.5.4 An Example
12.6 Layerwise Theory of Cylindrical Shells
12.6.1 Introduction
12.6.2 Unstiffened Shells
12.6.3 Stiffened Shells
12.6.4 Postbuckling of Laminated Cylinders
12.7 Closure
References for Additional Reading
Subject Index  


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