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| Series Preface | |
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| Preface | |
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| Acknowledgments | |
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| List of Symbols | |
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| List of Examples | |
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| Mechanics of Orthotropic Materials | |
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| Lamina Coordinate System | |
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| Displacements | |
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| Strain | |
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| Stress | |
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| Contracted Notation | |
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| Alternate Contracted Notation | |
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| Equilibrium and Virtual Work | |
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| Boundary Conditions | |
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| Traction Boundary Conditions | |
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| Free Surface Boundary Conditions | |
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| Continuity Conditions | |
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| Traction Continuity | |
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| Displacement Continuity | |
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| Compatibility | |
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| Coordinate Transformations | |
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| Stress Transformation | |
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| Strain Transformation | |
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| Transformation of Constitutive Equations | |
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| 3D Constitutive Equations | |
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| Anisotropic Material | |
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| Monoclinic Material | |
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| Orthotropic Material | |
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| Transversely Isotropic Material | |
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| Isotropic Material | |
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| Engineering Constants | |
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| Restrictions on Engineering Constants | |
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| From 3D to Plane Stress Equations | |
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| Apparent Laminate Properties | |
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| Suggested Problems | |
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| Introduction to Finite Element Analysis | |
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| Basic FEM Procedure | |
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| Discretization | |
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| Element Equations | |
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| Approximation over an Element | |
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| Interpolation Functions | |
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| Element Equations for a Specific Problem | |
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| Assembly of Element Equations | |
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| Boundary Conditions | |
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| Solution of the Equations | |
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| Solution Inside the Elements | |
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| Derived Results | |
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| General Finite Element Procedure | |
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| Solid Modeling, Analysis, and Visualization | |
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| Model Geometry | |
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| Material and Section Properties | |
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| Assembly | |
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| Solution Steps | |
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| Loads | |
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| Boundary Conditions | |
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| Meshing and Element Type | |
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| Solution Phase | |
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| Post-processing and Visualization | |
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| Suggested Problems | |
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| Elasticity and Strength of Laminates | |
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| Kinematic of Shells | |
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| First-Order Shear Deformation Theory | |
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| Kirchhoff Theory | |
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| Simply Supported Boundary Conditions | |
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| Finite Element Analysis of Laminates | |
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| Element Types and Naming Convention | |
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| Thin (Kirchhoff) Shell Elements | |
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| Thick Shell Elements | |
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| General-purpose (FSDT) Shell Elements | |
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| Continuum Shell Elements | |
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| Sandwich Shells | |
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| Nodes and Curvature | |
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| Drilling Rotation | |
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| A, B, D, H Input Data for Laminate FEA | |
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| Equivalent Orthotropic Input for Laminate FEA | |
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| LSS for Multidirectional Laminate FEA | |
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| FEA of Ply Drop-Off Laminates | |
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| FEA of Sandwich Shells | |
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| Element Coordinate System | |
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| Constraints | |
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| Failure Criteria | |
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| 2D Failure Criteria | |
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| 3D Failure Criteria | |
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| Predefined Fields | |
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| Suggested Problems | |
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| Buckling | |
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| Eigenvalue Buckling Analysis | |
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| Imperfection Sensitivity | |
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| Asymmetric Bifurcation | |
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| Post-critical Path | |
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| Continuation Methods | |
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| Suggested Problems | |
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| Free Edge Stresses | |
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| Poisson's Mismatch | |
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| Interlaminar Force | |
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| Interlaminar Moment | |
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| Coefficient of Mutual Influence | |
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| Interlaminar Stress due to Mutual Influence | |
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| Suggested Problems | |
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| Computational Micromechanics | |
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| Analytical Homogenization | |
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| Reuss Model | |
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| Voigt Model | |
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| Periodic Microstructure Model | |
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| Transversely Isotropic Averaging | |
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| Numerical Homogenization | |
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| Local-Global Analysis | |
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| Laminated RVE | |
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| Suggested Problems | |
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| Viscoelasticity | |
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| Viscoelastic Models | |
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| Maxwell Model | |
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| Kelvin Model | |
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| Standard Linear Solid | |
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| Maxwell-Kelvin Model | |
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| Power Law | |
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| Prony Series | |
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| Standard Nonlinear Solid | |
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| Nonlinear Power Law | |
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| Boltzmann Superposition | |
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| Linear Viscoelastic Material | |
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| Unaging Viscoelastic Material | |
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| Correspondence Principle | |
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| Frequency Domain | |
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| Spectrum Representation | |
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| Micromechanics of Viscoelastic Composites | |
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| One-Dimensional Case | |
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| Three-Dimensional Case | |
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| Macromechanics of Viscoelastic Composites | |
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| Balanced Symmetric Laminates | |
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| General Laminates | |
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| FEA of Viscoelastic Composites | |
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| Suggested Problems | |
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| Continuum Damage Mechanics | |
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| One-Dimensional Damage Mechanics | |
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| Damage Variable | |
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| Damage Threshold and Activation Function | |
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| Kinetic Equation | |
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| Statistical Interpretation of the Kinetic Equation | |
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| One-Dimensional Random-Strength Model | |
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| Fiber-Direction, Tension Damage | |
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| Fiber-Direction, Compression Damage | |
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| Multidimensional Damage and Effective Spaces | |
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| Thermodynamics Formulation | |
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| First Law | |
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| Second Law | |
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| Kinetic Law in Three-Dimensional Space | |
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| Return-Mapping Algorithm | |
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| Damage and Plasticity | |
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| Suggested Problems | |
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| Discrete Damage Mechanics | |
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| Overview | |
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| Approximations | |
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| Lamina Constitutive Equation | |
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| Displacement Field | |
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| Boundary Conditions for �T = 0 | |
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| Boundary Conditions for �T ≠ 0 | |
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| Degraded Laminate Stiffness and CTE | |
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| Degraded Lamina Stiffness | |
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| Fracture Energy | |
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| Solution Algorithm | |
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| Lamina Iterations | |
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| Laminate Iterations | |
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| Suggested Problems | |
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| Delaminations | |
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| Cohesive Zone Method | |
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| Single Mode Cohesive Model | |
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| Mixed Mode Cohesive Model | |
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| Virtual Crack Closure Technique | |
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| Suggested Problems | |
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| Tensor Algebra | |
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| Principal Directions of Stress and Strain | |
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| Tensor Symmetry | |
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| Matrix Representation of a Tensor | |
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| Double Contraction | |
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| Tensor Inversion | |
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| Tensor Differentiation | |
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| Derivative of a Tensor with Respect to Itself | |
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| Derivative of the Inverse of a Tensor with Respect to the Tensor | |
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| Second-Order Diagonal Damage Models | |
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| Effective and Damaged Spaces | |
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| Thermodynamic Force Y | |
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| Damage Surface | |
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| Unrecoverable-Strain Surface | |
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| Software Used | |
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| Abaqus | |
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| Abaqus Programmable Features | |
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| BMI3 | |
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| References | |
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| Index | |