The Thermomechanics of Plasticity and Fracture

This book concentrates upon the mathematical theory of plasticity and fracture as opposed to the physical theory of these fields, presented in the thermomechanical framework.

Gerard A. Maugin (Author)

9780521397803, Cambridge University Press

Paperback, published 21 May 1992

372 pages, 85 b/w illus.
23 x 15.2 x 2.4 cm, 0.549 kg

"One could characterize the style of the book as 'robust'. It has obvious pedagogical appeal. In the introduction the author expresses his hope that the book will find its place both on the student's shelf and in the professional scientist's office. The reviewer strongly recommends that." Miroslav Silhavy, Mathematical Reviews

This book concentrates upon the mathematical theory of plasticity and fracture as opposed to the physical theory of these fields, and is presented in the thermomechanical framework. It follows the macroscopic, phenomenological approach which proposes equations abstracted from generally accepted experimental facts, studies the adequacy of the consequences drawn from these equations to those facts and then provides useful tools for designers and engineers. The material is drawn from the author's graduate course in Europe and the United States and may be used to form the basis for similar graduate courses on plasticity and fracture. Many worked examples are presented and each chapter concludes with problems for students. The book will thus undoubtedly establish itself as a core text for both students and researchers.

Preface
Historical perspective
Notation
1. Introduction to plasticity: experimental facts
2. Thermomechanics of elastoviscoplastic continua
3. Small-strain elastoplasticity
4. Problems in perfect elastoplasticity
5. Elastoplasticity with strain-hardening
6. Elements of limit analysis
7. Crack propagation and fracture mechanics
8. Elastoplasticity with finite strains
9. Homogenization of elastoplastic composites
10. Coupling between plasticity and damage
11. Numerical solution of plasticity problems
12. Experimental study using infrared thermography
Appendices
Further reading
Bibliography
Index.

Subject Areas: Materials science [TGM], Applied mathematics [PBW]