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...

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Altri autori: Schröder, Jörg, 1938- (Direttore editoriale), Neff, Patrizio, 19..- (Direttore editoriale)
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Vienna : Springer Vienna [20..].
Cham : Springer Nature
Edizione:1st ed. 2010.
Serie:CISM International Centre for Mechanical Sciences, Courses and Lectures 516
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Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Poly-, Quasi- and Rank-One Convexity in Applied Mechanics, Texte imprimé, 9783709101735
• Poly-, Quasi- and Rank-One Convexity in Applied Mechanics, Texte imprimé, 9783709101759
• Poly-, Quasi- and Rank-One Convexity in Applied Mechanics, Texte imprimé, 9783709111048
Descrizione
Riassunto: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.
Descrizione del documento:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783709101742
ISSN:2309-3706
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