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...
| Other Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Vienna
Springer Vienna
2010, 2010
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| Edition: | 1st ed. 2010 |
| Series: | CISM International Centre for Mechanical Sciences, Courses and Lectures
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
| Summary: | 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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| Physical Description: | VIII, 362 p. 39 illus online resource |
| ISBN: | 9783709101742 |