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Poly-, Quasi- and Rank-One Convexity in Applied Mechanics

  • Jörg Schröder
  • Patrizio Neff

Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 516)

About this book

Introduction

Generalized convexity conditions play a major role in many modern mechanical applications. They serve as the basis for existence proofs and allow for the design of advanced algorithms. Moreover, understanding these convexity conditions helps in deriving reliable mechanical models.
The book summarizes the well established as well as the newest results in the field of poly-, quasi and rank-one convexity. Special emphasis is put on the construction of anisotropic polyconvex energy functions with applications to biomechanics and thin shells. In addition, phase transitions with interfacial energy and the relaxation of nematic elastomers are discussed.

Keywords

algorithms applied mechanics biomechanics convexity linear optimization mechanics shells thin shell

Editors and affiliations

  • Jörg Schröder
    • 1
  • Patrizio Neff
    • 1
  1. 1.University Duisburg-EssenEssenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7091-0174-2
  • Copyright Information Springer-Verlag Vienna 2010
  • Publisher Name Springer, Vienna
  • eBook Packages Engineering
  • Print ISBN 978-3-7091-0173-5
  • Online ISBN 978-3-7091-0174-2
  • Series Print ISSN 0254-1971
  • Buy this book on publisher's site
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