Poly-, Quasi- and Rank-One Convexity in Applied Mechanics
J. M. Ball (auth.), Jörg Schröder, Patrizio Neff (eds.)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.
Категорії:
Рік:
2010
Видання:
1
Видавництво:
Springer-Verlag Wien
Мова:
english
Сторінки:
362
ISBN 10:
3709101743
ISBN 13:
9783709101742
Серії:
CISM International Centre for Mechanical Sciences 516
Файл:
PDF, 7.25 MB
IPFS:
,
english, 2010
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