SIAM Homepage | Search Catalog | New Books | Author Index | Series Index | Title Index | View My Shopping Cart



The catalog and shopping cart are hosted for SIAM by EasyCart. Your transaction is secure. If you have any questions about your order, contact siambooks@siam.org.

Purchase Now!

Variational Methods in Nonlinear ElasticityVariational Methods in Nonlinear Elasticity

Pablo Pedregal



In less than 100 pages, this book covers the main vector variational methods developed to solve nonlinear elasticity problems. Presenting a general framework with a tight focus, the author provides a comprehensive exposition of a technically difficult, yet rapidly developing area of modern applied mathematics. The book includes the classical existence theory as well as a brief incursion into problems where nonexistence is fundamental. It also provides self-contained, concise accounts of quasi convexity, polyconvexity, and rank-one convexity, which are used in nonlinear elasticity.

Pedregal introduces the reader to Young measures as an important tool in solving vector variational techniques. Readers are encouraged to pursue nonlinear elasticity as one of the best means to apply these techniques. Although there are other books devoted to nonlinear elasticity or variational methods, none are concerned with Young measures as a tool for proving existence results in nonlinear elasticity.

In addition, many valuable references are included to direct the reader to other important research.

Audience

This book will be of interest to mechanical and aeronautical engineers, applied physicists, material scientists, applied mathematicians, and applied analysts interested in applications of calculus of variations to nonlinear elasticity and problems with microstructure.

Contents

Preface; Chapter 1: Elastic Materials and Variational Principles; Chapter 2: Quasi Convexity and Young Measures; Chapter 3: Polyconvexity and Existence Theorems; Chapter 4: Rank-one Convexity and Microstructure; Chapter 5: Technical Remarks; Bibliographical Comments; Bibliography; Index.

2000 / xii + 99 pages / Softcover / ISBN-13: 978-0-898714-52-4 / ISBN-10: 0-89871-452-4 /
List Price $48.00 / SIAM Member Price $33.60 / Order Code OT70
Price
Quantity desired
   



Search our catalog for:

Shopping cart provided by: EasyCart.com
Select quantity and list or member price and then click the "Click to Order" button to add books to your shopping cart.
Banner art adapted from a figure by Hinke M. Osinga and Bernd Krauskopf (University of Auckland, NZ.)