Poly-, Quasi- and Rank-One Convexity in Applied Mechanics (CISM International Centre for Mechanical Sciences, 516, Band 516) - Hardcover

Hardcover

ISBN 10: 3709101735 ISBN 13: 9783709101735

Verlag: Springer, 2010

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

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.

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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.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2010
• Sprache: Englisch
• ISBN 10: 3709101735
• ISBN 13: 9783709101735
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 368
• Herausgeber: Schröder Jörg, Neff Patrizio
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland