Cover -- Half-title -- Title -- Copyright -- Contents -- Preface -- List of Symbols -- Latin letters -- Greek letters -- CHAPTER ONE Introduction -- CHAPTER TWO Displacements, Strains, and Stresses -- 2.1 Strain-Displacement Relations -- 2.2 Equilibrium Equations -- 2.3 Stress-Strain Relationships -- 2.3.1 Generally Anisotropic Material -- 2.3.2 Monoclinic Material -- 2.3.3 Orthotropic Material -- 2.3.4 Transversely Isotropic Material -- 2.3.5 Isotropic Material -- 2.4 Plane-Strain Condition -- 2.4.1 Free End - Generally Anisotropic Material -- 2.4.2 Free End - Monoclinic Material -- 2.4.3 Free End - Orthotropic, Transversely Isotropic, or Isotropic Material -- Orthotropic -- Transversely isotropic -- Isotropic -- 2.4.4 Built-In Ends - Generally Anisotropic Material -- 2.4.5 Built-In Ends - Monoclinic Material -- 2.4.6 Built-In Ends - Orthotropic,Transversely Isotropic, or Isotropic Material -- 2.5 Plane-Stress Condition -- 2.6 Hygrothermal Strains and Stresses -- 2.6.1 Plane-Strain Condition -- 2.6.2 Plane-Stress Condition -- 2.7 Boundary Conditions -- 2.8 Continuity Conditions -- 2.9 Stress and Strain Transformations -- 2.9.1 Stress Transformation -- 2.9.2 Strain Transformation -- 2.9.3 Transformation of the Stiffness and Compliance Matrices -- 2.10 Strain Energy -- 2.10.1 The Ritz Method -- 2.11 Summary -- 2.11.1 Note on the Compliance and Stiffness Matrices -- CHAPTER THREE Laminated Composites -- 3.1 Laminate Code -- 3.2 Stiffness Matrices of Thin Laminates -- 3.2.1 The Significance of the [A], [B], and [D] Stiffness Matrices -- 3.2.2 Stiffness Matrices for Selected Laminates -- CHAPTER FOUR Thin Plates -- 4.1 Governing Equations -- 4.1.1 Boundary Conditions -- 4.1.2 Strain Energy -- 4.2 Deflection of Rectangular Plates -- 4.2.1 Pure Bending and In-Plane Loads -- 4.2.2 Long Plates -- 4.2.3 Simply Supported Plates - Symmetrical Layup.

4.2.4 Plates with Built-In Edges - Orthotropic and Symmetrical Layup -- 4.3 Buckling of Rectangular Plates -- 4.3.1 Simply Supported Plates - Symmetrical Layup -- 4.3.2 Plates with Built-In and Simply Supported Edges - Orthotropic and Symmetrical Layup -- 4.3.3 Plates with One Free Edge - Orthotropic and Symmetrical Layup -- 4.3.4 Plates with Rotationally Restrained Edges - Orthotropic and Symmetrical Layup -- 4.3.5 Long Plates -- 4.4 Free Vibration of Rectangular Plates -- 4.4.1 Long Plates -- 4.4.2 Simply Supported Plates - Symmetrical Layup -- 4.4.3 Plates with Built-In and Simply Supported Edges - Orthotropic and Symmetrical Layup -- 4.5 Hygrothermal Effects -- 4.5.1 Change in Thickness Due to Hygrothermal Effects -- 4.6 Plates with a Circular or an Elliptical Hole -- 4.7 Interlaminar Stresses -- CHAPTER FIVE Sandwich Plates -- 5.1 Governing Equations -- 5.1.1 Boundary Conditions -- 5.1.2 Strain Energy -- 5.1.3 Stiffness Matrices of Sandwich Plates -- 5.2 Deflection of Rectangular Sandwich Plates -- 5.2.1 Long Plates -- 5.2.2 Simply Supported Sandwich Plates - Orthotropic and Symmetrical Layup -- 5.3 Buckling of Rectangular Sandwich Plates -- 5.3.1 Long Plates -- 5.3.2 Simply Supported Plates - Orthotropic and Symmetrical Layup -- 5.3.3 Face Wrinkling -- 5.4 Free Vibration of Rectangular Sandwich Plates -- 5.4.1 Long Plates -- 5.4.2 Simply Supported Plates - Orthotropic and Symmetrical Layup -- CHAPTER SIX Beams -- 6.1 Governing Equations -- 6.1.1 Boundary Conditions -- 6.1.2 Stiffness Matrix -- 6.1.3 Compliance Matrix -- 6.1.4 Replacement Stiffnesses -- 6.2 Rectangular, Solid Beams Subjected to Axial Load and Bending -- 6.2.1 Displacements - Symmetrical Layup -- 6.2.2 Displacements - Unsymmetrical Layup -- 6.2.3 Stresses and Strains.

6.3 Thin-Walled, Open-Section Orthotropic or Symmetrical Cross-Section Beams Subjected to Axial Load and Bending -- 6.3.1 Displacements of T-Beams -- 6.3.2 Displacements of L-Beams -- 6.3.3 Displacements of Arbitrary Cross-Section Beams -- 6.3.4 Stresses and Strains -- 6.4 Thin-Walled, Closed-Section Orthotropic Beams Subjected to Axial Load and Bending -- 6.5 Torsion of Thin-Walled Beams -- 6.5.1 Thin Rectangular Cross Section -- 6.5.2 Open-Section Orthotropic Beams -- 6.5.3 Closed-Section Orthotropic Beams - Single Cell -- 6.5.4 Closed Section Orthotropic Beams - Multicell -- 6.5.5 Restrained Warping - Open-Section Orthotropic Beams -- 6.5.6 Restrained Warping - Closed-Section Orthotropic Beams -- 6.6 Thin-Walled Beams with Arbitrary Layup Subjected to Axial Load, Bending, and Torsion -- 6.6.1 Displacements of Open- and Closed-Section Beams -- 6.6.2 Stresses and Strains in Open- and Closed-Section Beams -- 6.6.3 Centroid -- 6.6.4 Restrained Warping -- 6.7 Transversely Loaded Thin-Walled Beams -- 6.7.1 Beams with Orthotropic Layup or with Symmetrical Cross Section -- 6.7.2 Beams with Arbitrary Layup -- 6.7.3 Shear Center -- 6.8 Stiffened Thin-Walled Beams -- 6.9 Buckling of Beams -- 6.9.1 Beams Subjected to Axial Load (Flexural-Torsional Buckling) -- 6.9.2 Lateral-Torsional Buckling of Orthotropic Beams with Symmetrical Cross Section -- 6.9.3 Local Buckling -- 6.10 Free Vibration of Beams (Flexural-Torsional Vibration) -- 6.10.1 Doubly Symmetrical Cross Sections -- 6.10.2 Beams with Symmetrical Cross Sections -- 6.10.3 Beams with Unsymmetrical Cross Sections -- 6.11 Summary -- CHAPTER SEVEN Beams with Shear Deformation -- 7.1 Governing Equations -- 7.1.1 Strain-Displacement Relationships -- 7.1.2 Force-Strain Relationships -- 7.1.3 Equilibrium Equations -- 7.1.4 Summary of Equations -- 7.1.5 Boundary Conditions.

7.2 Stiffnesses and Compliances of Beams -- 7.2.1 Shear Stiffnesses and Compliances of Thin-Walled Open-Section Beams -- 7.2.2 Shear Stiffnesses and Compliances of Thin-Walled Closed-Section Beams -- 7.2.3 Stiffnesses of Sandwich Beams -- 7.3 Transversely Loaded Beams -- 7.4 Buckling of Beams -- 7.4.1 Axially Loaded Beams with Doubly Symmetrical Cross Sections (Flexural and Torsional Buckling) -- 7.4.2 Axially Loaded Beams with Symmetrical or Unsymmetrical Cross Sections (Flexural-Torsional Buckling) -- 7.4.3 Lateral-Torsional Buckling of Beams with Symmetrical Cross Section -- 7.4.4 Summary -- 7.5 Free Vibration of Beams -- 7.5.1 Beams with Doubly Symmetrical Cross Sections -- 7.5.2 Beams with Symmetrical or Unsymmetrical Cross Sections -- 7.5.3 Summary -- 7.6 Effect of Shear Deformation -- CHAPTER EIGHT Shells -- 8.1 Shells of Revolution with Axisymmetrical Loading -- 8.2 Cylindrical Shells -- 8.2.1 Membrane Theory -- 8.2.2 Built-In Ends -- 8.2.3 Temperature - Built-In Ends -- 8.3 Springback -- 8.3.1 Springback of Cylindrical Shells -- 8.3.2 Doubly Curved Shells -- 8.4 Buckling of Shells -- 8.4.1 Buckling of Cylinders -- CHAPTER NINE Finite Element Analysis -- 9.1 Three-Dimensional Element -- 9.2 Plate Element -- 9.3 Beam Element -- 9.4 Sublaminate -- 9.4.1 Step 1. Elements of [J] due to In-Plane Stresses -- 9.4.2 Step 2. Elements of [J] due to Out-of-Plane Normal Stresses -- 9.4.3 Step 3. Elements of [J] due to Out-of-Plane Shear Stresses -- 9.4.4 Step 4. The Stiffness Matrix -- CHAPTER TEN Failure Criteria -- 10.1 Quadratic Failure Criterion -- 10.1.1 Orthotropic Material -- 10.1.2 Transversely Isotropic Material -- 10.1.3 Isotropic Material -- 10.1.4 Plane-Strain and Plane-Stress Conditions -- 10.1.5 Proportional Loading - Stress Ratio -- 10.2 "Maximum Stress" Failure Criterion -- 10.3 "Maximum Strain" Failure Criterion.

10.4 Plate with a Hole or a Notch -- 10.4.1 Plate with a Circular Hole -- 10.4.2 Plate with a Notch -- 10.4.3 Characteristic Length -- CHAPTER ELEVEN Micromechanics -- 11.1 Rule of Mixtures -- 11.1.1 Longitudinal Young Modulus E1 -- 11.1.2 Transverse Young Modulus E2 -- 11.1.3 Longitudinal Shear Modulus G12 -- 11.1.4 Transverse Shear Modulus G23 -- 11.1.5 Longitudinal Poisson Ratio Nu12 -- 11.1.6 Transverse Poisson Ratio Nu23 -- 11.1.7 Thermal Expansion Coefficients -- 11.1.8 Moisture Expansion Coefficients -- 11.1.9 Thermal Conductivity -- 11.1.10 Moisture Diffusivity -- 11.1.11 Specific Heat -- 11.2 Modified Rule of Mixtures -- 11.3 Note on the Micromechanics Models -- APPENDIX A Cross-Sectional Properties of Thin-Walled Composite Beams -- APPENDIX B Buckling Loads and Natural Frequencies of Orthotropic Beams with Shear Deformation -- APPENDIX C Typical Material Properties -- Fiber -- Matrix -- Composite ply -- Index.