rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Poly-, Quasi- and Rank-One Convexity in Applied Mechanics
  name:
    name part: Schröder, Jörg.
    role:
      role term: editor.
  name:
    name part: Neff, Patrizio.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: au
    date issued: 2010
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: VIII, 362 p. 39 illus. online resource.
  abstract: 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.
  table of contents: Progress and puzzles in nonlinear elasticity -- Quasiconvex envelopes in nonlinear elasticity -- Anisotropie polyconvex energies -- Construction of polyconvex energies for non-trivial anisotropy classes -- Applications of anisotropic polyconvex energies: thin shells and biomechanics of arterial walls -- Phase transitions with interfacial energy: convexity conditions and the existence of minimizers -- Nematic elastomers: modelling, analysis, and numerical simulations -- Applications of polyconvexity and strong ellipticity to nonlinear elasticity and elastic plate theory -- ?-convergene e for a geometrically exact Cosserat shell-model of defective elastic crystals.
  note: edited by Jörg Schröder, Patrizio Neff.
  subject:
    topic: Engineering
  subject:
    topic: Mechanics
  subject:
    topic: Mechanics, Applied
  subject:
    topic: Engineering
  subject:
    topic: Theoretical and Applied Mechanics
  classification: TA349-359
  classification: 620.1
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: CISM International Centre for Mechanical Sciences, 516
  identifier: 9783709101742
  identifier: http://dx.doi.org/10.1007/978-3-7091-0174-2
  record info:
    record creation date: 100803
    record change date: 20151204183047.0
    record identifier: 978-3-7091-0174-2