Legendre-Fenchel duality in elasticity [Dualité de Legendre-Fenchel en élasticité]

Philippe G. Ciarlet; Giuseppe Geymonat; Françoise Krasucki

doi:10.1016/j.crma.2011.03.007

Author(s)

Philippe G. Ciarlet
Giuseppe Geymonat
Françoise Krasucki

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	French
Pages (from-to)	597-602
Journal / Publication	Comptes Rendus Mathematique
Volume	349
Issue number	9-10
Publication status	Published - May 2011

Link(s)

DOI	DOI https://doi.org/10.1016/j.crma.2011.03.007 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-79956222250&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(64abcb89-4e63-454f-8018-e00cb94ee968).html

Abstract

We show that the displacement and strain formulations of the displacement-traction problem of three-dimensional linearized elasticity can be viewed as Legendre-Fenchel dual problems to the stress formulation of the same problem. We also show that each corresponding Lagrangian has a saddle-point, thus fully justifying this new approach to elasticity by means of Legendre-Fenchel duality.

Citation Format(s)

[ RIS ] [ BibTeX ]

Legendre-Fenchel duality in elasticity [Dualité de Legendre-Fenchel en élasticité]. / Ciarlet, Philippe G.; Geymonat, Giuseppe; Krasucki, Françoise.
In: Comptes Rendus Mathematique, Vol. 349, No. 9-10, 05.2011, p. 597-602.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Ciarlet, PG, Geymonat, G & Krasucki, F 2011, 'Legendre-Fenchel duality in elasticity [Dualité de Legendre-Fenchel en élasticité]', Comptes Rendus Mathematique, vol. 349, no. 9-10, pp. 597-602. https://doi.org/10.1016/j.crma.2011.03.007

Ciarlet, P. G., Geymonat, G., & Krasucki, F. (2011). Legendre-Fenchel duality in elasticity [Dualité de Legendre-Fenchel en élasticité]. Comptes Rendus Mathematique, 349(9-10), 597-602. https://doi.org/10.1016/j.crma.2011.03.007

Ciarlet PG, Geymonat G, Krasucki F. Legendre-Fenchel duality in elasticity [Dualité de Legendre-Fenchel en élasticité]. Comptes Rendus Mathematique. 2011 May;349(9-10):597-602. doi: 10.1016/j.crma.2011.03.007

Ciarlet, Philippe G. ; Geymonat, Giuseppe ; Krasucki, Françoise. / Legendre-Fenchel duality in elasticity [Dualité de Legendre-Fenchel en élasticité]. In: Comptes Rendus Mathematique. 2011 ; Vol. 349, No. 9-10. pp. 597-602.