Ciarlet, Philippe G.; Mardare, Cristinel Intrinsic formulation of the Kirchhoff-Love theory of nonlinearly elastic shallow shells. (English) Zbl 07730363 Commun. Math. Anal. Appl. 1, No. 4, 545-567 (2022). MSC: 74K25 74B20 53A05 35J66 PDFBibTeX XMLCite \textit{P. G. Ciarlet} and \textit{C. Mardare}, Commun. Math. Anal. Appl. 1, No. 4, 545--567 (2022; Zbl 07730363) Full Text: DOI
Ciarlet, Philippe G.; Malin, Maria; Mardare, Cristinel On a vector version of a fundamental lemma of J. L. Lions. (English) Zbl 1398.46028 Chin. Ann. Math., Ser. B 39, No. 1, 33-46 (2018). Reviewer: Raymond Johnson (Columbia) MSC: 46E35 47A05 PDFBibTeX XMLCite \textit{P. G. Ciarlet} et al., Chin. Ann. Math., Ser. B 39, No. 1, 33--46 (2018; Zbl 1398.46028) Full Text: DOI
Ciarlet, Philippe G.; Iosifescu, Oana Nonlinear Donati compatibility conditions on a surface-application to the intrinsic approach for Koiter’s model of a nonlinearly elastic shallow shell. (English) Zbl 1358.74030 Math. Models Methods Appl. Sci. 27, No. 2, 347-384 (2017). MSC: 74K25 49J45 74B20 74K20 74P10 PDFBibTeX XMLCite \textit{P. G. Ciarlet} and \textit{O. Iosifescu}, Math. Models Methods Appl. Sci. 27, No. 2, 347--384 (2017; Zbl 1358.74030) Full Text: DOI
Ciarlet, Philippe G.; Mardare, Cristinel; Shen, Xiaoqin Donati compatibility conditions for membrane and flexural shells. (English) Zbl 1344.49056 Anal. Appl., Singap. 13, No. 6, 685-705 (2015). MSC: 49N10 49J40 74K15 74K25 74B05 PDFBibTeX XMLCite \textit{P. G. Ciarlet} et al., Anal. Appl., Singap. 13, No. 6, 685--705 (2015; Zbl 1344.49056) Full Text: DOI
Ciarlet, Philippe G.; Geymonat, Giuseppe; Krasucki, Françoise Nonlinear donati compatibility conditions and the intrinsic approach for nonlinearly elastic plates. (English. French summary) Zbl 1305.74054 J. Math. Pures Appl. (9) 103, No. 1, 255-268 (2015). MSC: 74K20 49J40 74B20 35Q74 PDFBibTeX XMLCite \textit{P. G. Ciarlet} et al., J. Math. Pures Appl. (9) 103, No. 1, 255--268 (2015; Zbl 1305.74054) Full Text: DOI
Ciarlet, Philippe G.; Mardare, Sorin Nonlinear Saint-Venant compatibility conditions and the intrinsic approach for nonlinearly elastic plates. (English) Zbl 1286.49053 Math. Models Methods Appl. Sci. 23, No. 12, 2293-2321 (2013). MSC: 49Q20 49J45 74B20 74G25 PDFBibTeX XMLCite \textit{P. G. Ciarlet} and \textit{S. Mardare}, Math. Models Methods Appl. Sci. 23, No. 12, 2293--2321 (2013; Zbl 1286.49053) Full Text: DOI
Ciarlet, Philippe G.; Iosifescu, Oana The space \(\mathbf H(\mathop{div},\cdot)\) on a surface – application to Donati-like compatibility conditions on a surface. (L’espace \(\mathbf H(\mathop{div},\cdot)\) sur une surface – application à des conditions de compatibilité du type de Donati sur une surface.) (English. French summary) Zbl 1293.46019 C. R., Math., Acad. Sci. Paris 351, No. 23-24, 943-947 (2013). Reviewer: Denise Huet (Nancy) MSC: 35A23 35A08 PDFBibTeX XMLCite \textit{P. G. Ciarlet} and \textit{O. Iosifescu}, C. R., Math., Acad. Sci. Paris 351, No. 23--24, 943--947 (2013; Zbl 1293.46019) Full Text: DOI
Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel A Cesàro-Volterra formula with little regularity. (English) Zbl 1182.35213 J. Math. Pures Appl. (9) 93, No. 1, 41-60 (2010). MSC: 35Q74 74B05 35A15 35B65 PDFBibTeX XMLCite \textit{P. G. Ciarlet} et al., J. Math. Pures Appl. (9) 93, No. 1, 41--60 (2010; Zbl 1182.35213) Full Text: DOI
Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel A generalization of the classical Cesàro-Volterra path integral formula. (English) Zbl 1177.35051 C. R., Math., Acad. Sci. Paris 347, No. 9-10, 577-582 (2009). MSC: 35F05 PDFBibTeX XMLCite \textit{P. G. Ciarlet} et al., C. R., Math., Acad. Sci. Paris 347, No. 9--10, 577--582 (2009; Zbl 1177.35051) Full Text: DOI
Ciarlet, Philippe G.; Gratie, Liliana; Serpilli, Michele Cesàro-Volterra path integral formula on a surface. (English) Zbl 1173.53004 Math. Models Methods Appl. Sci. 19, No. 3, 419-441 (2009). Reviewer: V. Leontiev (Ul’yanovsk) MSC: 53A05 74A05 74K25 53A45 PDFBibTeX XMLCite \textit{P. G. Ciarlet} et al., Math. Models Methods Appl. Sci. 19, No. 3, 419--441 (2009; Zbl 1173.53004) Full Text: DOI
Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel; Shen, Ming Saint Venant compatibility equations on a surface application to intrinsic shell theory. (English) Zbl 1172.53002 Math. Models Methods Appl. Sci. 18, No. 2, 165-194 (2008). Reviewer: Shigeki Matsutani (Kanagawa) MSC: 53A05 74K25 74G65 53C21 53Z05 PDFBibTeX XMLCite \textit{P. G. Ciarlet} et al., Math. Models Methods Appl. Sci. 18, No. 2, 165--194 (2008; Zbl 1172.53002) Full Text: DOI
Ciarlet, Philippe G.; Ciarlet jun., Patrick A new approach for approximating linear elasticity problems. (English) Zbl 1134.74049 C. R., Math., Acad. Sci. Paris 346, No. 5-6, 351-356 (2008). MSC: 74S05 74B05 PDFBibTeX XMLCite \textit{P. G. Ciarlet} and \textit{P. Ciarlet jun.}, C. R., Math., Acad. Sci. Paris 346, No. 5--6, 351--356 (2008; Zbl 1134.74049) Full Text: DOI
Ciarlet, Philippe G.; Mardare, Cristinel; Shen, Ming Saint Venant compatibility equations in curvilinear coordinates. (English) Zbl 1116.49023 Anal. Appl., Singap. 5, No. 3, 231-251 (2007). MSC: 49S05 74K25 PDFBibTeX XMLCite \textit{P. G. Ciarlet} et al., Anal. Appl., Singap. 5, No. 3, 231--251 (2007; Zbl 1116.49023) Full Text: DOI
Ciarlet, Philippe G.; Gratie, Liliana; Mardare, Cristinel; Shen, Ming Recovery of a displacement field on a surface from its linearized change of metric and change of curvature tensors. (English) Zbl 1112.74004 C. R., Math., Acad. Sci. Paris 344, No. 9, 597-602 (2007). MSC: 74A05 53A05 74B05 PDFBibTeX XMLCite \textit{P. G. Ciarlet} et al., C. R., Math., Acad. Sci. Paris 344, No. 9, 597--602 (2007; Zbl 1112.74004) Full Text: DOI
Amrouche, Cherif; Ciarlet, Philippe G.; Gratie, Liliana; Kesavan, Srinivasan On the characterizations of matrix fields as linearized strain tensor fields. (English) Zbl 1115.35131 J. Math. Pures Appl. (9) 86, No. 2, 116-132 (2006). MSC: 35Q72 74B05 74G65 74B15 PDFBibTeX XMLCite \textit{C. Amrouche} et al., J. Math. Pures Appl. (9) 86, No. 2, 116--132 (2006; Zbl 1115.35131) Full Text: DOI
Ciarlet, Philippe G.; Ciarlet, Patrick jun. Another approach to linearized elasticity and a new proof of Korn’s inequality. (English) Zbl 1084.74006 Math. Models Methods Appl. Sci. 15, No. 2, 259-271 (2005). MSC: 74B15 74G45 35Q72 PDFBibTeX XMLCite \textit{P. G. Ciarlet} and \textit{P. Ciarlet jun.}, Math. Models Methods Appl. Sci. 15, No. 2, 259--271 (2005; Zbl 1084.74006) Full Text: DOI
Ciarlet, Philippe G.; Ciarlet, Patrick jun. Another approach to linearized elasticity and Korn’s inequality. (English) Zbl 1063.74009 C. R., Math., Acad. Sci. Paris 339, No. 4, 307-312 (2004). MSC: 74B15 74G45 35Q72 PDFBibTeX XMLCite \textit{P. G. Ciarlet} and \textit{P. Ciarlet jun.}, C. R., Math., Acad. Sci. Paris 339, No. 4, 307--312 (2004; Zbl 1063.74009) Full Text: DOI