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- W1012808839 abstract "We are considering a technique of necessary conditions for nonconvex variational problems. Based on these conditions, we also suggest a minimal extension of unstable variational problems that makes the problem stable against these variations. The extended Lagrangian gives an upper bound for the quasiconvex envelope. We follow (Cherkaev, 1999). The method is based on the classical variational technique that requires a comparison of nearby configurations, rather than a comparison of all configurations, as sufficient methods do. In contrast to the laminates technique, which deals with an a priori chosen set of effective properties and geometric configurations, the necessary conditions analyze the fields in an optimal structure." @default.
- W1012808839 created "2016-06-24" @default.
- W1012808839 creator A5079606220 @default.
- W1012808839 date "2000-01-01" @default.
- W1012808839 modified "2023-09-27" @default.
- W1012808839 title "Necessary Conditions and Minimal Extensions" @default.
- W1012808839 doi "https://doi.org/10.1007/978-1-4612-1188-4_9" @default.
- W1012808839 hasPublicationYear "2000" @default.
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