Variational Methods in Nonlinear Elasticity

Variational Methods in Nonlinear Elasticity

by Pablo Pedregal
     
 

ISBN-10: 0898714524

ISBN-13: 9780898714524

Pub. Date: 01/28/2000

Publisher: SIAM

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…  See more details below

Overview

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.

Read More

Product Details

ISBN-13:
9780898714524
Publisher:
SIAM
Publication date:
01/28/2000
Series:
Miscellaneous Titles in Applied Mathematics Series
Pages:
99
Product dimensions:
5.98(w) x 8.98(h) x 0.31(d)

Table of Contents

Preface; 1. Elastic materials and variational principles; 2. Quasi convexity and young measures; 3. Polyconvexity and existence theorems; 4. Rank-one convexity and microstructure; 5. Technical remarks; Bibliographical comments; Bibliography; Index.

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >