000 02887nam a22004575i 4500
001 978-3-7091-0174-2
003 DE-He213
005 20140220084552.0
007 cr nn 008mamaa
008 100803s2010 au | s |||| 0|eng d
020 _a9783709101742
_9978-3-7091-0174-2
024 7 _a10.1007/978-3-7091-0174-2
_2doi
050 4 _aTA349-359
072 7 _aTGMD
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aSCI041000
_2bisacsh
082 0 4 _a620.1
_223
100 1 _aSchröder, Jörg.
_eeditor.
245 1 0 _aPoly-, Quasi- and Rank-One Convexity in Applied Mechanics
_h[electronic resource] /
_cedited by Jörg Schröder, Patrizio Neff.
264 1 _aVienna :
_bSpringer Vienna,
_c2010.
300 _aVIII, 362p. 39 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aCISM International Centre for Mechanical Sciences,
_x0254-1971 ;
_v516
505 0 _aProgress 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.
520 _aGeneralized 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.
650 0 _aEngineering.
650 0 _aMechanics, applied.
650 1 4 _aEngineering.
650 2 4 _aTheoretical and Applied Mechanics.
700 1 _aNeff, Patrizio.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783709101735
830 0 _aCISM International Centre for Mechanical Sciences,
_x0254-1971 ;
_v516
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-7091-0174-2
912 _aZDB-2-ENG
999 _c112967
_d112967