Shell theory
This account of the theory of plates and shells is written primarily as a textbook for graduate students in mechanical and civil engineering. The unified treatment of shells of arbitrary shape is accomplished by tensor analysis. This useful tool is introduced in the first chapter, and no knowledge of advanced mathematical methods is required. The general theory developed in the first eight chapters is applied in the remaining part to thin elastic plates and shells with special emphasis on engin…
Read More ↓Title Statements
- Full title :Shell theory / F. Niordson.
Summary
This account of the theory of plates and shells is written primarily as a textbook for graduate students in mechanical and civil engineering. The unified treatment of shells of arbitrary shape is accomplished by tensor analysis. This useful tool is introduced in the first chapter, and no knowledge of advanced mathematical methods is required. The general theory developed in the first eight chapters is applied in the remaining part to thin elastic plates and shells with special emphasis on engineering methods and engineering applications. A number of detailed examples illustrate the theory.
Read More ↓Edition Statements
- Publication Date:1985.
Publication Statements
- Publisher(s):North-Holland, Sole distributors for the USA and Canada, Elsevier Science Pub. Co
- Place of Publication:Amsterdam
- Language:eng
- Publication Date:1985.
Notes
Translated from Danish lecture notes, with changes and additions.
The Physical Object
- Description:1 online resource (xiv, 408 pages) : : illustrations
Edition Identifiers
- ISBN:9780444599094, 0444599096
- oclc:ocn838124011
- LC Classification:TA660.S5
- Dewey Decimal:624.1/7762
Table of Contents
Front Cover; Shell Theory; Copyright Page; Dedication; Preface; Table of Contents; Introduction; Chapter 1. Tensor analysis; 1. Introduction; 2. Coordinate transformations; 3. Contravariant and covariant vectors; 4. Tensors; 5. Algebra of tensors; 6. The fundamental tensor; 7. Associated tensors; 8. Magnitude; 9. Covariant differentiation; 10. The Riemann-Christoffel tensor; 11. The order of covariant differentiation for tensors; 12. Contravariant differentiation; 13. Summary; Bibliography; Chapter 2. The geometry of the middle-surface; 1. Introduction.
2. The first fundamental form of a surface3. Normal coordinates; 4. Second fundamental form of a surface; 5. Invariants of curvature; 6. The inverse problem; 7. The equations of Codazzi; 8. Surface and volume element; 9. Coordinates of principal curvature; 10. Summary; Bibliography; Chapter 3. The kinematics of a surface; 1. Introduction; 2. Displacements; 3. Stretching of the middle-surface; 4. Rotation of an element of the shell; 5. Bending of the middle-surface; 6. Equations of compatibility; 7. Summary; Chapter 4. The statics of a shell; 1. Introduction; 2. An element of the shell.
3. The divergence theorem4. Statically equiv…
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