Poly-, Quasi- and Rank-One Convexity in Applied Mechanics
(Sprache: Englisch)
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...
Leider schon ausverkauft
versandkostenfrei
Buch
213.99 €
106 DeutschlandCard Punkte
sammeln
- Lastschrift, Kreditkarte, Paypal, Rechnung
- Kostenlose Rücksendung
- Ratenzahlung möglich
Produktdetails
Produktinformationen zu „Poly-, Quasi- and Rank-One Convexity in Applied Mechanics “
Klappentext zu „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 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.
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.
Inhaltsverzeichnis zu „Poly-, Quasi- and Rank-One Convexity in Applied Mechanics “
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.
Autoren-Porträt
Prof. Dr.-Ing. Jörg Schröder studierte Bauingenieurwesen, promovierte an der Universität Hannover und habilitierte an der Universität Stuttgart. Nach einer Professur für Mechanik an der TU Darmstadt ist er seit 2001 Professor für Mechanik an der Universität Duisburg-Essen. Seine Arbeitsgebiete sind unter anderem die theoretische und die computerorientierte Kontinuumsmechanik sowie die phänomenologische Materialtheorie mit Schwerpunkten auf der Formulierung anisotroper Materialgleichungen und der Weiterentwicklung der Finite-Elemente-Methode.
Bibliographische Angaben
- 2010, 2010, 361 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Herausgegeben:Schröder, Jörg; Neff, Patrizio
- Herausgegeben: Patrizio Neff, Jörg Schröder
- Verlag: Springer
- ISBN-10: 3709101735
- ISBN-13: 9783709101735
- Erscheinungsdatum: 12.05.2010
Sprache:
Englisch
Kommentar zu "Poly-, Quasi- and Rank-One Convexity in Applied Mechanics"
0 Gebrauchte Artikel zu „Poly-, Quasi- and Rank-One Convexity in Applied Mechanics“
| Zustand | Preis | Porto | Zahlung | Verkäufer | Rating |
|---|
Schreiben Sie einen Kommentar zu "Poly-, Quasi- and Rank-One Convexity in Applied Mechanics".
Kommentar verfassen