Front Cover -- Analysis of Composite Structures -- Copyright Page -- Contents -- Foreword -- Part I: Mechanical behaviour of composite materials -- Chapter 1. Constitutive relations for anisotropic materials in linear elasticity -- 1.1. Introduction -- 1.2. Four indices tensor notation -- 1.3. Conventional two indices Voigt notation -- 1.4. Anisotropic material -- 1.5. Matrix relations for a change of axes -- Chapter 2. Orthotropic layer behaviour -- 2.1. Introduction -- 2.2. Stiffness and compliance matrices in orthotropic co-ordinates -- 2.3. Conventional matrices for changing axes -- 2.4. Stress and strain matrices -- 2.5. Stiffness matrix in directions away from the orthotropic axes -- 2.6. Compliance matrix in directions away from the orthotropic axes -- 2.7. Orthotropic layer loaded in tension and in shear -- 2.8. Reduced stiffness matrix for the orthotropic layer -- 2.9. Reduced compliance matrices of an orthotropic layer -- Chapter 3. Elastic constants of a unidirectional composite -- 3.1. Introduction -- 3.2. Density ρ -- 3.3. Longitudinal Young's modulus E1 -- 3.4. Poisson's coefficient v12 -- 3.5. Transverse Young's modulus E2 -- 3.6. Shear modulus Gl2 -- 3.7. Longitudinal thermal expansion coefficient α1 -- 3.8. Transverse expansion coefficient α2 -- Chapter 4. Failure criteria -- 4.1. Introduction -- 4.2. Maximum stress theory -- 4.3. Maximum strain theory -- 4.4. Polynomial failure criteria -- 4.5. Tensile and shear strength of a unidirectional layer -- 4.6. Determination of failure stresses from three tension tests -- Part II: Multi-layer plates -- Chapter 5. Multi-layer Kirchhoff-Love thin plates -- 5.1. Introduction -- 5.2. Kirchhoff-Love hypotheses for thin plates -- 5.3. Strain-displacement relationships -- 5.4. Global plate equations -- 5.5. Calculation of I0 -- 5.6. Stress field -- 5.7. Global cohesive forces.

5.8. Composite global stiffness matrix -- 5.9. Decoupling -- 5.10. Global stiffnesses of a symmetrical composite -- 5.11. Global stiffnesses for an asymmetrical laminate -- 5.12. Examples of global stiffness matrices -- 5.13. Boundary conditions -- 5.14. Determination of transverse shear stresses -- 5.15. Strain energy -- Chapter 6. Symmetrical orthotropic Kirchhoff-Love plates -- 6.1 . Introduction -- 6.2. Global plate equations -- 6.3. Plate loaded in the mean plane -- 6.4. Plate loaded transversely -- 6.5. Flexure of a rectangular plate simply supported around its edge -- 6.6. Free vibrations of a rectangular plate freely supported at its edge -- 6.7. Buckling of a rectangular plate simply supported at its edge -- Chapter 7. Thermo-elastic behaviour of composites -- 7.1. Introduction -- 7.2. Constitutive relation for an orthotropic material -- 7.3. Constitutive relation when the normal transverse stress is zero -- 7.4. Global cohesion forces -- 7.5. Global composite constitutive relation -- 7.6. Decoupling -- 7.7. Balanced symmetrical composite loaded in the mean plane -- Chapter 8. Symmetrical orthotropic Reissner-Mindlin plates -- 8.1. Introduction -- 8.2. Moderately thick plate, Reissner-Mindlin assumptions -- 8.3. Displacements, strains and stresses -- 8.4. Global plate equations -- 8.5. Calculation of I1 and I2 -- 8.6. Global cohesive forces -- 8.7. Global stiffness matrix of the composite -- 8.8. Transverse shear correction coefficient -- 8.9. Boundary conditions -- 8.10. Symmetrical orthotropic plate -- 8.11. Flexure of a rectangular orthotropic symmetrical plate simply supported around its edge -- 8.12. Transverse vibration of a rectangular orthotropic symmetrical plate simply supported around its edge -- 8.13. Buckling of a rectangular orthotropic symmetrical plate simply supported around its edge.

Chapter 9. Asymmetrical multi-layer Kirchhoff-Love plates -- 9.1. Introduction -- 9.2. Flexure of a cross-ply asymmetrical plate -- 9.3. Vibration of an cross-ply asymmetrical plate -- 9.4. Buckling of a cross-ply asymmetrical plate -- 9.5. Flexure of a balanced asymmetrical plate -- 9.6. Vibration of a balanced asymmetrical plate -- 9.7. Buckling of a balanced asymmetrical plate -- Chapter 10. Cylindrical flexure of multi-layer Kirchhoff-Love plates -- 10.1. Introduction -- 10.2. Strain-displacement relationship -- 10.3. Global constitutive relation -- 10.4. Global plate equations -- 10.5. Flexure -- 10.6. Vibrations -- 10.7. Buckling -- Chapter 11. Cylindrical flexure of multi-layer Reissner-Mindlin plates -- 11.1. Introduction -- 11.2. Strain-displacement relationship -- 11.3. Global constitutive relation -- 11.4. Global plate equations -- 11.5. Flexure -- 11.6. Vibrations -- 11.7. Buckling -- Part III: Multi-layer beams -- Chapter 12. Symmetrical multi-layer beams in tension-compression -- 12.1. Introduction -- 12.2. Strains, stresses, global equation of tension-compression -- 12.3. Single layer orthotropic beam -- 12.4. General equations for beams in tension-compression -- 12.5. Built-in beam under its own weight and subjected to a force -- 12.6. Vibration of a built-in beam -- Chapter 13. Symmetrical multi-layer beams in flexure without transverse shear strain -- 13.1. Introduction -- 13.2. Strains, stresses, equations of motion -- 13.3. Monolayer orthotropic beam -- 13.4. General beam equations -- 13.5. Simply supported beam subjected to sinusoidal loads -- 13.6. Vibrations of a simply supported beam -- 13.7. Buckling of a simply supported beam -- Chapter 14. Symmetrical multi-layer beams in flexure with transverse shear strain -- 14.1. Introduction -- 14.2. Strains, stresses, global equations -- 14.3. Monolayer orthotropic beam.

14.4. General beam equations -- 14.5. Simply supported beam subjected to a sinusoidal load -- 14.6. Vibration of a simply supported beam -- 14.7. Buckling of a simply supported beam -- Appendices: Global plate equations -- Chapter 15. Global plate equations neglecting large transverse displacements -- 15.1. Introduction -- 15.2. Hypothesis relating to plates -- 15.3. Reissner-Mindlin and Kirchhoff-Love plates theories -- 15.4. Global plate equations -- 15.5. Plate equations in Reissner-Mindlin analysis -- 15.6. Plate equations in Kirchhoff-Love analysis -- Chapter 16. Global plate equations for large transverse displacements -- 16.1. Introduction -- 16.2. Local plate equations -- 16.3. Global plate equations -- 16.4. Global plate equations for static, vibration and buckling cases -- 16.5. Reissner-Mindlin global plate equations -- 16.6. Kirchhoff-Love global plate equations -- Chapter 17. Global plate equations: Kirchhoff-Love theory variational formulation -- 17.1. Introduction -- 17.2. Von Karman strains -- 17.3. Variational formulation -- 17.4. Global plate equations, boundary edge conditions -- 17.5. Global plate equations in static, vibration and buckling cases -- Chapter 18. Global plate equations: Reissner-Mindlin theory variational formulation -- 18.1. Introduction -- 18.2. Von Karman strains -- 18.3. Variational formulation -- 18.4. Global equations, boundary edge conditions -- 18.5. Global static, vibration and buckling equations -- References -- Index.