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

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 summarize...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Schröder, Jörg (Επιμελητής έκδοσης), Neff, Patrizio (Επιμελητής έκδοσης)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Vienna : Springer Vienna, 2010.
Σειρά:CISM International Centre for Mechanical Sciences, 516
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Poly-, Quasi- and Rank-One Convexity in Applied Mechanics  |h [electronic resource] /  |c edited by Jörg Schröder, Patrizio Neff. 
264 1 |a Vienna :  |b Springer Vienna,  |c 2010. 
300 |a VIII, 362 p. 39 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a CISM International Centre for Mechanical Sciences,  |x 0254-1971 ;  |v 516 
505 0 |a 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. 
520 |a 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. 
650 0 |a Engineering. 
650 0 |a Mechanics. 
650 0 |a Mechanics, Applied. 
650 1 4 |a Engineering. 
650 2 4 |a Theoretical and Applied Mechanics. 
700 1 |a Schröder, Jörg.  |e editor. 
700 1 |a Neff, Patrizio.  |e editor. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783709101735 
830 0 |a CISM International Centre for Mechanical Sciences,  |x 0254-1971 ;  |v 516 
856 4 0 |u http://dx.doi.org/10.1007/978-3-7091-0174-2  |z Full Text via HEAL-Link 
912 |a ZDB-2-ENG 
950 |a Engineering (Springer-11647)