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| Preface | |
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| Acknowledgments | |
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| Author | |
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| Introduction | |
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| Basic Definitions | |
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| Polymeric Materials | |
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| Basic Concepts | |
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| Addition versus Condensation Polymers | |
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| Molecular Structure | |
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| Thermoplastic versus Thermoset Polymers | |
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| Amorphous versus Semicrystalline Thermoplastics | |
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| A-, B-, and C-Staged Thermosets | |
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| The Glass Transition Temperature | |
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| Fibrous Materials | |
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| Glass Fibers | |
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| Aramid Fibers | |
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| Graphite and Carbon Fibers | |
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| Polyethylene Fibers | |
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| Commercially Available Forms | |
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| Discontinuous Fibers | |
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| Roving Spools | |
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| Woven Fabrics | |
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| Braided Fabrics | |
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| Pre-Impregnated Products or "Prepreg" | |
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| Manufacturing Processes | |
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| Layup Techniques | |
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| Autoclave Process Cycles | |
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| Filament Winding | |
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| Pultrusion | |
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| Resin Transfer Molding | |
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| Scope of This Book | |
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| References | |
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| Review of Force, Stress, and Strain Tensors | |
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| The Force Vector | |
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| Transformation of a Force Vector | |
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| Normal Forces, Shear Forces, and Free-Body Diagrams | |
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| Definition of Stress | |
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| The Stress Tensor | |
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| Transformation of the Strees Tensor | |
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| Principal Stresses | |
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| Plane Stress | |
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| Definition of Strain | |
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| The Strain Tensor | |
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| Transformation of the Strain Tensor | |
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| Principal Strains | |
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| Strains within a Plane Perpendicular to a Principal Strain Direction | |
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| Relating Strains to Displacement Fields | |
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| Computer Programs 3Drotate and 2Drotate | |
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| Homework Problems | |
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| References | |
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| Material Properties | |
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| Material Properties of Anisotropic versus Isotropic Materials | |
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| Material Properties That Relate Stress to Strain | |
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| Uniaxial Tests | |
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| Pure Shear Tests | |
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| Specialization to Orthotropic and Transversely Isotropic Composites | |
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| Material Properties Relating Temperature to Strain | |
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| Specialization to Orthotropic and Transversely Isotropic Composites | |
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| Material Properties Relating Moisture Content to Strain | |
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| Specialization to Orthotropic and Transversely Isotropic Composites | |
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| Material Properties Relating Stress or Strain to Failure | |
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| Predicting Elastic Composite Properties Based on Constituents: The Rule of Mixtures | |
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| Homework Problems | |
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| References | |
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| Elastic Response of Anisotropic Materials | |
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| Strains Induced by Stress: Anisotropic Materials | |
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| Strains Induced by Stress: Orthotropic and Transversely Isotropic Materials | |
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| Strains Induced by a Change in Temperature or Moisture Content | |
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| Strains Induced by Combined Effects of Stress, Temperature, and Moisture | |
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| Homework Problems | |
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| Unidirectional Composite Laminates Subject to Plane Stress | |
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| Unidirectional Composites Referenced to the Principal Material Coordinate System | |
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| Unidirectional Composites Referenced to an Arbitrary Coordinate System | |
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| Calculating Transformed Properties Using Material Invariants | |
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| Effective Elastic Properties of a Unidirectional Composite Laminate | |
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| Failure of Unidirectional Composites Referenced to the Principal Material Coordinate System | |
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| The Maximum Stress Failure Criterion | |
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| The Tsai-Hill Failure Criterion | |
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| The Tsai-Wu Failure Criterion | |
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| Failure of Unidirectional Composites Referenced to an Arbitrary Coordinate System | |
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| Uniaxial Stress | |
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| Maximum Stress Criterion | |
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| Tsai-Hill Criterion | |
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| Tsai-Wu Criterion | |
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| Comparison | |
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| Pure Shear Stress States | |
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| Maximum Stress Criterion | |
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| Tsai-Hill Criterion | |
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| Tsai-Wu Criterion | |
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| Comparisons | |
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| Computer Programs Unidir and Unifail | |
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| Program Unidir | |
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| Program Unifail | |
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| Homework Problems | |
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| References | |
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| Thermomechanical Behavior of Multiangle Composite Laminates | |
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| Definition of a "Thin Plate" and Allowable Plate Loadings | |
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| Plate Deformations: The Kirchhoff Hypothesis | |
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| Principal Curvatures | |
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| Standard Methods of Describing Composite Laminates | |
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| Calculating Ply Strains and Stresses | |
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| Classical Lamination Theory | |
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| Constant Environmental Conditions | |
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| Including Changes in Environmental Conditions | |
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| Simplifications due to Stacking Sequence | |
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| Symmetric Laminates | |
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| Cross-Ply Laminates | |
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| Balanced Laminates | |
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| Balanced Angle-Ply Laminates | |
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| Quasi-Isotropic Laminates | |
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| Summary of CLT Calculations | |
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| A CLT Analysis When Loads Are Known | |
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| A CLT Analysis When Midplane Strains and Curvatures Are Known | |
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| Effective Properties of a Composite Laminate | |
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| Effective Properties Relating Stress to Strain | |
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| Extensional Properties | |
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| Flexural Properties | |
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| Effective Properties Relating Temperature or Moisture Content to Strain | |
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| Transformation of the ABD Matrix | |
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| Computer Program CLT | |
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| Comparing Classical Lamination Theory and Finite-Element Analyses | |
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| Free Edge Stresses | |
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| The Origins of Free Edge Stresses | |
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| Analytical and Numerical Studies of Free Edge Stresses | |
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| Typical Numerical Results | |
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| Homework Problems | |
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| References | |
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| Predicting Failure of a Multiangle Composite Laminate | |
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| Preliminary Discussion | |
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| Estimating Laminate Failure Strengths Using CLT | |
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| Using CLT to Predict First-Ply Failure | |
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| Predicting Last-Ply Failure | |
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| First-Ply Failure Envelopes | |
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| Computer Programs Lamfail and Progdam | |
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| Program Lamfail | |
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| Program Progdam | |
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| Homework Problems | |
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| References | |
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| Composite Beams | |
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| Preliminary Discussion | |
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| Comparing Classical Lamination Theory to Isotropic Beam Theory | |
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| Types of Composite Beams Considered | |
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| Effective Axial Rigidity of Rectangular Composite Beams | |
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| Effective Flexural Rigidities of Rectangular Composite Beams | |
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| Effective Flexural Rigidity of Rectangular Composite Beams with Ply Interfaces Orthogonal to the Plane of Loading | |
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| Effective Flexural Rigidity of Rectangular Composite Beams with Ply Interfaces Parallel to the Plane of Loading | |
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| Effective Axial and Flexural Rigidities for Thin-Walled Composite Beams | |
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| Statically Determinate and Indeterminate Axially Loaded Composite Beams | |
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| Statically Determinate and Indeterminate Transversely Loaded Composite Beams | |
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| Computer Program Beam | |
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| Homework Problems | |
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| References | |
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| Stress Concentrations Near an Elliptical Hole | |
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| Preliminary Discussion | |
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| Summary of the Savin Solution for an Anisotropic Plate with Elliptical Hole | |
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| Circular Holes in Unidirectional Laminates | |
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| Elliptical Holes with an Aspect Ratio of Three in Unidirectional Laminates | |
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| Circular Holes in Multiangle Laminates | |
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| Computer Program Holes | |
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| Homework Problems | |
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| References | |
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| The Governing Equations of Thin-Plate Theory | |
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| Preliminary Discussion | |
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| Equations of Equilibrium for Symmetric Laminates | |
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| Equations of Equilibrium Expressed in Terms of Internal Stress and Moment Resultants, Transverse Loading, and Out-of-Plane Displacements | |
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| Equations of Equilibrium Expressed in Terms of the [ABD] Matrix, Transverse Loading, and Midplane Displacement Fields | |
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| Boundary Conditions | |
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| Geometric (Kinematic) Boundary Conditions | |
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| Static (Natural) Boundary Conditions | |
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| Combinations of Geometric and Static Boundary Conditions | |
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| Free Edge | |
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| Simply Supported Edges | |
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| Clamped Edges | |
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| Representing Arbitrary Transverse Loads as a Fourier Series | |
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| References | |
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| Some Exact Solutions for Specially Orthotropic Laminates | |
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| Equations of Equilibrium for a Specially Orthotropic Laminate | |
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| In-Plane Displacement Fields in Specially Orthotropic Laminates | |
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| Specially Orthotropic Laminates Subject to Simple Supports of Type S1 | |
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| Specially Orthotropic Laminates Subject to Simple Supports of Type S4 | |
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| Specially Orthotropic Laminates with Two Simply Supported Edges of Type S1 and Two Edges of Type S2 | |
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| The Navier Solution Applied to a Specially Orthotropic Laminate Subject to Simple Supports of Type S4 | |
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| Buckling of Rectangular Specially Orthotropic Laminates Subject to Simple Supports of Type S4 | |
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| Thermal Buckling of Rectangular Specially Orthotropic Laminates Subject to Simple Supports of Type S1 | |
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| Computer Program Sportho | |
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| References | |
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| Some Approximate Solutions for Symmetric Laminates | |
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| Preliminary Discussion | |
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| In-Plane Displacement Fields | |
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| Potential Energy in a Thin Composite Plate | |
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| Evaluation of Strain Energy Component UI | |
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| Evaluation of Strain Energy Component UII | |
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| Evaluation of Strain Energy Component UIII | |
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| Evaluation of Work Done by Transverse Loads | |
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| Symmetric Composite Laminates Subject to Simple Supports of Type S4 | |
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| Deflections due to a Uniform Transverse Load | |
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| Deflections due to a Sinusoidal Transverse Load | |
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| Deflections due to a Transverse Load Distributed over an Interior Region | |
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| Deflections due to a Transverse Point Load | |
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| Buckling of Symmetric Composite Plates Subject to Simple Supports of Type S4 | |
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| Computer Program Symm | |
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| References | |
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| Experimental Methods Used to Measure In-Plane Elastic Properties | |
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| References | |
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| Tables of Beam Deflections and Slopes | |
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| Reference | |
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| Index | |