Preface
List of Principal Symbols and Definitions
1. Introduction
2. Sandwich Beams
2.1. Sandwich Beams: Application of Ordinary Beam Theory
2.2. Sign Convention for Bending of Beams
2.3. Deflection of a Simply-Supported Sandwich Beam with Antiplane Core and Thin Faces (Symmetrical Load)
2.4. Deflection of a Simply-Supported Sandwich Beam with Antiplane Core and Thin Faces (Unsymmetrical Load)
2.5. Deflections and Stresses in a Sandwich Beam with Antiplane Core and Thick Faces
2.6. Simply-Supported Beam with Central Point Load W (Antiplane Core and Thick Faces)
2.7. Simply-Supported Beam with Uniformly Distributed Load ( Antiplane Core and Thick Faces)
2.8. Beam with Four-Point Loading (Antiplane Core and Thick Faces)
2.9. Sandwich Beams with Faces of Unequal Thickness (Antiplane Core)
2.10. Sandwich Beams in which the Modulus of Elasticity of the Core Parallel with the Axis is not Small (Faces of Equal Thickness)
2.11. Wide and Narrow Beams
3. Buckling of Sandwich Struts
3.1. Buckling of Pin-ended Sandwich Strut with Antiplane Core and Thin Faces
3.2. Buckling of Pin-ended Sandwich Strut with Antiplane Core and Thick Faces
3.3. Further Consideration of Buckling (Antiplane Core, Thick Faces)
3.4. Wrinkling Instability
4. Analysis of Sandwich Beams and Struts by Strain Energy Methods
4.1. Introduction, Notation, Assumptions
4.2. Displacements and Strains
4.3. Strain Energy
4.4. Simply-supported Beam-column with Sinusoidal Transverse Load
4.5. Evaluation of Stresses due to Combined End-load and Sinusoidal Transverse Load
4.6. Deflections and Stresses due to Non-sinusoidal Transverse Loads
5. Bending and Buckling of Isotropic Sandwich Panels with Very Thin Identical Faces (Ritz Method)
5.7. Introduction
5.2. Displacements and Strains
5.3. Strain Energy
5.4. Plate with Isotropic Faces and Core
5.5. Other Types of Simply-Supported Sandwich Plate
5.6. Boundary Conditions for a Simply-Supported Panel
6. Bending and Buckling of Orthotropic Sandwich Panels with Thick Dissimilar Faces (Ritz Method)
6.1. Introduction
6.2. Displacements and Strains
6.3. Strain Energy
6.4. Potential Energy of Applied Forces
6.5. Minimization of Total Energy
6.6. Procedure in Particular Cases
6.7. Simply-supported Sandwich Plate with Identical Isotropic Thick Faces and "Isotropic" Core
7. Bending and Buckling of Orthotropic Sandwich Panels with Thin Faces; Alternative Solution Based on Differential Equations of Sandwich Panel
7.7. Introduction
7.2. Notation, Assumptions and Basic Equations
7.3. General Differential Equations
7.4. Simplified Form of Differential Equations
7.5. Core Shear Strains and the Effect of Face Thickness
7.6. Evaluation of the Stiffnesses Dx, DQx, etc.
7.7. Solution for Simply-Supported Orthotropic Panel with Edge Loads and Sinusoidal Transverse Load
7.8. Buckling of Simply-Supported Orthotropic Panel
7.9. Solution for Simply-Supported Orthotropic Panel with Edge Loads and Uniform Transverse Load
8. Wrinkling and Other Forms of Local Instability
8.1. Introduction
8.2. Long Strut Supported by a Continuous Elastic - Isotropic Medium
8.3. Wrinkling of Faces of Sandwiches with Isotropic Cores of Finite Thickness
8.4. Behavior of the Core during Wrinkling
8.5. The Winkler Hypothesis
8.6. Stability of Faces Attached to Antiplane Core with Infinite Stiffness Perpendicular to the Faces
8.7. Initial Irregularities of the Faces
8.8. Some Special Observations on Wrinkling Behavior
8.9. Local Instability of the Elements of a Sandwich, other than Wrinkling
8.10. Interaction of Wrinkling and Overall Instability
9. The Development of the Theory of Sandwich Panels
9.7. Historical Development of Sandwich Theory
9.2. Comparison of Some Common Notations
9.3. Boundary Conditions
9.4. Panels with Edges which are not Simply-Supported
9.5. Shear and Other Edge-Wise Loads
9.6. Large Deflections
9.7. Initial Deformations
10. Formula for Analysis
10.1. Assumptions and Approximations
10.2. Sandwich Beams
10.3. Sandwich Struts
10.4. Wrinkling
10.5. Buckling of Simply-Supported Panels with Edge Forces in the x-Direction
10.6. Bending of Simply-Supported Panels with Uniform TransverseLoad
10.7. Bending of Simply-Supported Panels with Uniform Transverse Load Combined with Edge Forces in the x-Direction
10.8. Modifications for Faces of Unequal Thickness or Dissimilar Materials
10.9. Buckling and Bending of Panels with Other Types of Load or Boundary Conditions
11. Design of Sandwich Beams, Struts and Panels
11.1. Introduction
11.2. Determination of Core Thickness
11.3. Optimum Design: Determination of Core and Face Thickness for Minimum Weight (or Cost)
12. Properties of Materials Used in Sandwich Construction: Methods of Testing
12.1. Face Materials
12.2. Core Materials and Their Properties
12.3. Methods of Testing Core Materials
12.4. Tests on Sandwich Constructions
Appendix I . Properties of Isotropic and Orthotropic Elastic Solids
Appendix II. Differential Equation for a Sandwich Beamcolumn
References
Index