- F.I. Niordson
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.
North-Holland Series in Applied Mathematics and Mechanics
Published: September 1985
- 1. Tensor Analysis. 2. The Geometry of the Middle-Surface. 3. The Kinematics of a Surface. 4. The Statics of a Shell. 5. Effective Forces and Moments. 6. Boundary Conditions. 7. Stress-Strain Relations. 8. The Static-Geometric Analogy. 9. Plates. 10. The Membrane State. 11. Bending of Circular Cylindrical Shells. 12. Axisymmetric Bending of Shells. 13. Bending of Spherical Shells. 14. Bending of Shells of Revolution. 15. Donnell - Mushtari - Vlasov Theory. 16. Nonlinear Plate Problems. 17. Buckling of Plates and Shells. Index.