Mathematical Models for Elastic Structures

This book, first published in 1998, is a collection of significant theories and mathematical models, dealing with elastic slender bodies.

Piero Villaggio (Author)

9780521017985, Cambridge University Press

Paperback, published 29 September 2005

696 pages, 121 b/w illus.
25.4 x 17.8 x 3.6 cm, 1.171 kg

'The general opinion of this reviewer it that Villaggio's book is valuable and that it will constitute an important reference in the years to come.' Society for Industrial and Applied Mathematics

Elastic structures, conceived as slender bodies able to transmit loads, have been studied by scientists and engineers for centuries. By the seventeenth century several useful theories of elastic structures had emerged, with applications to civil and mechanical engineering problems. In recent years improved mathematical tools have extended applications into new areas such as geomechanics and biomechanics. This book, first published in 1998, offers a critically filtered collection of the most significant theories dealing with elastic slender bodies. It includes mathematical models involving elastic structures, which are used to solve practical problems with particular emphasis on nonlinear problems. This collection of interesting and important problems in elastic structures will appeal to a broad range of scientists, engineers and graduate students working in the area of structural mechanics.

Preface
Introduction
1. Basic concept
2. Rod theories: three-dimensional approach
3. Rod theories: director approach
4. Theories of cables
5. Theories of membranes
6. Theories of plates
7. Theories of shells.

Subject Areas: Mechanics of solids [TGMD]