The Bending and Stretching of Plates

ISBN-13: 9780521333047 / Angielski / Twarda / 1989 / 244 str.

Eric Harold Mansfield; E. H. Mansfield

Opis

Written by one of the world's leading authorities on plate behavior, this study gives a clear physical insight into elastic plate behavior. Small-deflection theory is treated in Part 1 in chapters dealing with 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-deflection theory is treated in Part 2 in chapters dealing with basic equations and exact solutions; approximate methods, including post-buckling behavior; and asymptotic theories for very thin plates, including tension field theory and inextensional theory. The mathematical content is necessarily high, making the style of the book appropriate to engineers and applied mathematicians. E.H. Mansfield is a Fellow of the Royal Society, a founder member of the Fellowship of Engineering, and the author of over 100 publications.

Recenzje

"...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

Spis treści

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.