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Variational Methods in Nonlinear Elasticity

Variational Methods in Nonlinear Elasticity

£35.99

  • Date Published: March 2000
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898714524

£ 35.99
Paperback

This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
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  • 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.

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    Product details

    • Date Published: March 2000
    • format: Paperback
    • isbn: 9780898714524
    • length: 106 pages
    • dimensions: 229 x 155 x 8 mm
    • weight: 0.167kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • 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.

  • Author

    Pablo Pedregal

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