Mathematical Problems In Plasticity

Book Details

• Author: Roger Temam

• Publisher: Dover

• Binding: Paperback

• Number of Pages: 363

• Release Date: 19-12-2018

• ISBN: 9780486828275

• Package Dimensions: 8.9 x 6.1 x 0.8 inches

• Language: English

About The Book

Equilibrium of Perfectly Plastic Bodies by Roger Temam, published by Dover in December 2018, provides a deep and systematic study of the equilibrium problem of perfectly plastic bodies under specific conditions. This book presents tools and methods that can be applied to various other fields, such as fracture mechanics and certain optimal control problems.

The text is divided into three parts. The first part delves into variational problems in plasticity theory, covering important topics such as function spaces, convex analysis, and the formulation and duality of variational problems. It also explores limit analysis and boundary condition relaxation. The second part examines the solution of variational problems in finite-energy spaces, discussing topics like the relaxation of strain problems, duality between generalized stresses and strains, and the existence of solutions to generalized strain problems. The final part addresses asymptotic problems and the theory of plates.

This comprehensive work includes a substantial bibliography, along with a new Preface and appendix by the author, offering readers a thorough understanding of the subject matter. Ideal for researchers, students, and professionals in mechanics, material science, and applied mathematics, this book offers both theoretical insights and practical applications, making it a vital reference for advanced studies in plasticity and related fields.