Overview
- summarizes the well-established and the newest results in poly-, quasi and rank-one complexity
Part of the book series: CISM International Centre for Mechanical Sciences (CISM, volume 516)
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Table of contents (9 chapters)
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Front Matter
Keywords
About this book
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.
Editors and Affiliations
Bibliographic Information
Book Title: Poly-, Quasi- and Rank-One Convexity in Applied Mechanics
Editors: Jörg Schröder, Patrizio Neff
Series Title: CISM International Centre for Mechanical Sciences
DOI: https://doi.org/10.1007/978-3-7091-0174-2
Publisher: Springer Vienna
eBook Packages: Engineering, Engineering (R0)
Copyright Information: CISM Udine 2010
Hardcover ISBN: 978-3-7091-0173-5Published: 12 May 2010
Softcover ISBN: 978-3-7091-1104-8Published: 28 June 2012
eBook ISBN: 978-3-7091-0174-2Published: 04 August 2010
Series ISSN: 0254-1971
Series E-ISSN: 2309-3706
Edition Number: 1
Number of Pages: VII, 361