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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.
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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