Quasidifferentiability and Nonsmooth Modelling in Mechanics, Engineering and Economics / Edition 1

Hardcover (Print)
Buy New
Buy New from BN.com
Used and New from Other Sellers
Used and New from Other Sellers
from $70.00
Usually ships in 1-2 business days
(Save 74%)
Other sellers (Hardcover)
  • All (9) from $70.00   
  • New (6) from $84.59   
  • Used (3) from $70.00   


Nonsmooth energy functions govern phenomena which occur frequently in nature and in all areas of life. They constitute a fascinating subject in mathematics and permit the rational understanding of yet unsolved or partially solved questions in mechanics, engineering and economics.
This is the first book to provide a complete and rigorous presentation of the quasidifferentiability approach to nonconvex, possibly nonsmooth, energy functions, of the derivation and study of the corresponding variational expressions in mechanics, engineering and economics, and of their numerical treatment. The new variational formulations derived are illustrated by many interesting numerical problems. The techniques presented will permit the reader to check any solution obtained by other heuristic techniques for nonconvex, nonsmooth energy problems. A civil, mechanical or aeronautical engineer can find in the book the only existing mathematically sound technique for the formulation and study of nonconvex, nonsmooth energy problems.
Audience: The book will be of interest to pure and applied mathematicians, physicists, researchers in mechanics, civil, mechanical and aeronautical engineers, structural analysts and software developers. It is also suitable for graduate courses in nonlinear mechanics, nonsmooth analysis, applied optimization, control, calculus of variations and computational mechanics.

Read More Show Less

Editorial Reviews

From the Publisher
'... In view of the growing number of recent publications dealing with nonsmooth and set-valued modelling ... this book, which was written by a multidisciplinary group of authors, seems to be the first attempt to make nonsmooth modelling and set-valued techniques accessible to applied scientists by presenting the quasidifferentiable approach by means of concrete applications. ... The book provides significant help to scientists or graduate students who need an authoritative and understandable introduction to this field, and who would also, like to extend his/her ability to model nonsmooth complicated effects in his/her work. It may also serve as a reference book for advanced graduate courses in nonsmooth modelling, optimization and engineering. ... The book appears very attractive and it is certainly unique ...'
Daniel Goeleven in Mathematical Reviews, Issue 97h:49001
A rigorous presentation of the quasidifferentiability approach to nonconvex, possibly nonsmooth, energy functions, explaining the derivation and study of the corresponding variational expressions in mechanics, engineering and economics and their numerical treatment. Techniques presented allow readers to check any solution obtained by other heuristic techniques for nonconvex, nonsmooth energy problems. For pure and applied mathematicians, physicists, structural analysts, software developers, and civil, mechanical, and aeronautical engineers. Can also be used in graduate courses in nonlinear mechanics, applied optimization, calculus of variations, and computational mechanics. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Read More Show Less

Product Details

Table of Contents

Preface. Introduction. Guidelines for the Readers. 1. Nonsmooth Analysis. The One-Dimensional Case. 2. Quasidifferentiable Functions and Sets. Quasidifferentiable Optimization and Optimality Conditions. 3. Nonsmooth Mechanics I. Nonsmooth Modelling in Mechanics. 4. Nonsmooth Mechanics II. Variational Formulations Using Quasidifferentiability. 5. Additional Topics. Stability, Economics, Flow Problems, Dynamic Problems. 6. Nonsmooth Optimization Algorithms. Quasidifferentiable and Codifferentiable Optimization. 7. Nonsmooth Computational Mechanics I. Modelling and Applications. 8. Nonsmooth Computational Mechanics II. Algorithms and Examples. Subject Index.

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)