A Lagrangian approach to intrinsic linearized elasticity
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AbstractWe consider the pure traction problem and the pure displacement problem of three-dimensional linearized elasticity. We show that, in each case, the intrinsic approach leads to a quadratic minimization problem constrained by Donati-like relations. Using the Babuska-Brezzi inf-sup condition, we then show that, in each case, the minimizer of the constrained minimization problem found in an intrinsic approach is the first argument of the saddle-point of an ad hoc Lagrangian, so that the second argument of this saddle-point is the Lagrange multiplier associated with the corresponding constraints. (C) 2010 Published by Elsevier Masson SAS on behalf of Academie des sciences.
All Author(s) ListCiarlet PG, Ciarlet P, Iosifescu O, Sauter S, Zou J
Journal nameComptes Rendus Mathématique
Year2010
Month5
Day1
Volume Number348
Issue Number9-10
PublisherELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
Pages587 - 592
ISSN1631-073X
eISSN1778-3569
LanguagesEnglish-United Kingdom
Web of Science Subject CategoriesMathematics; MATHEMATICS

Last updated on 2020-17-09 at 00:49