Mechanics, Boundary Layers and Function Spaces

Inhaltsverzeichnis

• 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.
• 6. Representations for the Displacement Components.
• 7. The Equations for the Unknown Functions.
• 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.
• Three Shell Theory—A First Approximation.
• 1A. The Approximation Scheme and Associated Relations.
• 2A. The Approximate Constitutive Relations.
• 4A. Approximate Form of the Transverse Stress Coefficients.
• 8. Detachment of the Residual Problem.
• 9. The Principal Problem.
• 10. The Contracted Interior Problem.