The Bending and Stretching of Plates

An authoritative account of plate-behaviour.

E. H. Mansfield (Author)

9780521018166, Cambridge University Press

Paperback, published 22 August 2005

244 pages
22.9 x 15.2 x 1.5 cm, 0.379 kg

"...a concise treatment of elastic plate theory. The reviewer believes that it will serve as a useful tool for structural engineers and structural research workers." V. K. Arya, Mathematical Reviews

The Bending and Stretching of Plates is written by one of the world's leading authorities on plate-behaviour. Although the mathematical content is necessarily high, the aim is to give a clear physical insight into elastic plate behaviour; the style is thus appropriate to engineers and applied mathematicians. Small-deflexion theory is treated in Part 1, with a discussion of basic equations (including thermal effects and multi-layered anisotropic plates, rectangular plates, circular and other shaped plates, plates whose boundaries are amenable to conformal transformation, plates with variable thickness, and approximate methods). Large-deflexion theory is treated in Part 2 in chapters dealing with basic equations and exact solutions, approximate methods (including post-buckling behaviour), and asymptotic theories for very thin plates (including tension field theory and inextensional theory).

Preface to 2nd edition
Preface
Principal notation
Part I. Small-Deflexion Theory: 1. Derivation of the basic equations
2. Rectangular plates
3. Plates of various shapes
4. Plates where boundaries are amenable to conformal transformation
5. Plates with variable rigidity
6. Approximate methods
Part II. Large-Deflexion Theory: 7. General equations and some exact solutions
8. Approximate methods in large-deflexion analysis
9. Asymptotic large-deflexion theories for very thin plates
Author index
Subject index.

Subject Areas: Mechanics of solids [TGMD], Applied mathematics [PBW]