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

Released on by Jörg Schröder
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  • Poly-, Quasi- and Rank-One Convexity in Applied Mechanics Book Detail

  • Author : Jörg Schröder
  • Release Date : 2010-08-04
  • Publisher : Springer Science & Business Media
  • Genre : Technology & Engineering
  • Pages : 361
  • ISBN 13 : 3709101743
  • File Size : 27,27 MB
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Poly-, Quasi- and Rank-One Convexity in Applied Mechanics by Jörg Schröder PDF Summary

Book Description: 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.

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