Shell Theory

F.I. Niordson

• Publisher: North Holland
• Year: 2012
• Print ISBN: 9780444876409
• eBook ISBN: 9780444599094
• Topic: Technology & Engineering
• Subtopic: Mechanics
• Index: Technology & Engineering

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.

Table of contents

• Front Cover
• Shell Theory
• Copyright Page
• Table of Contents
• Introduction
• Dedication
• Preface
• Chapter 1. Tensor analysis
• Chapter 2. The geometry of the middle-surface
• Chapter 3. The kinematics of a surface
• Chapter 4. The statics of a shell
• Chapter 5. Effective forces and moments
• Chapter 6. Boundary conditions
• Chapter 7. Stress–strain relations
• Chapter 8. The static-geometric analogy
• Chapter 9. Plates
• Chapter 10. The membrane state
• Chapter 11. Bending of circular cylindrical shells
• Chapter 12. Axisymmetrical bending of shells
• Chapter 13. Bending of spherical shells
• Chapter 14. Bending of shells of revolution
• Chapter 15. The Donnell–Mushtari–Vlasov theory
• Chapter 16. Nonlinear plate problems
• Chapter 17. Buckling of plates and shells
• Subject index