New formulations of linearized elasticity problems, based on extensions of Donati's theorem

Cherif Amrouche; Philippe G. Ciarlet; Liliana Gratie; Srinivasan Kesavan

doi:10.1016/j.crma.2006.03.027

Author(s)

Cherif Amrouche
Philippe G. Ciarlet
Liliana Gratie
Srinivasan Kesavan

Related Research Unit(s)

Detail(s)

Original language	English
Pages (from-to)	785-789
Journal / Publication	Comptes Rendus Mathematique
Volume	342
Issue number	10
Publication status	Published - 15 May 2006

Link(s)

DOI	DOI https://doi.org/10.1016/j.crma.2006.03.027 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-33746645285&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(e915aab5-a5fc-43c3-9bd5-0de54ac28441).html

Abstract

The classical Donati theorem is used for characterizing smooth matrix fields as linearized strain tensor fields. In this Note, we give several generalizations of this theorem, notably to matrix fields whose components are only in H^-1. We then show that our extensions of Donati's theorem allow to reformulate in a novel fashion linearized three-dimensional elasticity problems as quadratic minimization problems with the strains as the primary unknowns. To cite this article: C. Amrouche et al., C. R. Acad. Sci. Paris, Ser. I 342 (2006). © 2006 Académie des sciences.

Citation Format(s)

[ RIS ] [ BibTeX ]

New formulations of linearized elasticity problems, based on extensions of Donati's theorem. / Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana et al.
In: Comptes Rendus Mathematique, Vol. 342, No. 10, 15.05.2006, p. 785-789.

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

Amrouche, C, Ciarlet, PG , Gratie, L & Kesavan, S 2006, 'New formulations of linearized elasticity problems, based on extensions of Donati's theorem', Comptes Rendus Mathematique, vol. 342, no. 10, pp. 785-789. https://doi.org/10.1016/j.crma.2006.03.027

Amrouche, C., Ciarlet, P. G., Gratie, L., & Kesavan, S. (2006). New formulations of linearized elasticity problems, based on extensions of Donati's theorem. Comptes Rendus Mathematique, 342(10), 785-789. https://doi.org/10.1016/j.crma.2006.03.027

Amrouche C, Ciarlet PG , Gratie L, Kesavan S. New formulations of linearized elasticity problems, based on extensions of Donati's theorem. Comptes Rendus Mathematique. 2006 May 15;342(10):785-789. doi: 10.1016/j.crma.2006.03.027

Amrouche, Cherif ; Ciarlet, Philippe G. ; Gratie, Liliana et al. / New formulations of linearized elasticity problems, based on extensions of Donati's theorem. In: Comptes Rendus Mathematique. 2006 ; Vol. 342, No. 10. pp. 785-789.