Mechanics, Boundary Layers and Function Spaces

General Introduction.- One Beam Theory and the Residual Effects in the Elastic Strip.- 1. The Boundary Value Problem.- 2. Normalization of the Transverse Coordinate.- 3. Representations for the Stress Components.- 4. The Face Boundary Conditions.- 5. The Edge Boundary Conditions.- 6. Representation for the Displacement Components.- 7. The Equations for the Unknown Function.- 8. The Uncoupling of Effects: Principal and Residual Parts.- 9. The Problem of Stretching: Restricted Case.- 10. The Problem of Bending: Restricted Case.- Background Survey.- Two Plate Theory and the Edge Effects.- 1. The Coordinate System.- 2. The Boundary Value Problem.- 3. The Normalized Formulation.- 4. Stress Representations: The Face Conditions.- 5. The Edge Boundary Conditions.- 6. Representations for the Displacement Components.- 7. The Equations for the Unknown Functions.- 8. The Uncoupling of Effects: Principal and Residual Parts.- 9. The Problem of Stretching.- 9P. The Principal Stretching Problem: (Generalized Plane Stress).- 9R. The Residual Stretching Problem.- 10. The Problem of Bending.- 10P. The Principal Bending Problem.- 10R. The Residual Bending Problem.- Background Survey.- Three Shell Theory—A First Approximation.- 1. The Coordinate System.- 1A. The Approximation Scheme and Associated Relations.- 2. The Boundary Value Problem.- 2A. The Approximate Constitutive Relations.- 3. The Normalized Formulation.- 4. Stress Representations: The Face Conditions.- 4A. Approximate Form of the Transverse Stress Coefficients.- 5. The Edge Boundary Conditions.- 6. Representations for the Displacement Components.- 7. The Equations for the Unknown Functions.- 8. Detachment of the Residual Problem.- 9. The Principal Problem.- 10. The Contracted Interior Problem.- Background Survey.