A Lagrangian approach to intrinsic linearized elasticity
Publication in refereed journal

香港中文大學研究人員

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摘要We 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.
著者Ciarlet PG, Ciarlet P, Iosifescu O, Sauter S, Zou J
期刊名稱Comptes Rendus Mathématique
出版年份2010
月份5
日期1
卷號348
期次9-10
出版社ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
頁次587 - 592
國際標準期刊號1631-073X
電子國際標準期刊號1778-3569
語言英式英語
Web of Science 學科類別Mathematics; MATHEMATICS

上次更新時間 2020-16-10 於 23:58