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This book concentrates on the mathematical theory of plasticity and fracture, and presents it in a 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. Many examples of plasticity and fracture are presented, and each chapter concludes with problems for students.
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.