Full asymptotic expansions for thin elastic free plates;Développements asymptotiques complets pour des plaques élastiques minces libres

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 326, Issue 10, 1998, Pages 1243-1248

  Dauge, Monique ^a   Djurdjevic, Ivica ^b   Rössle, Andreas ^b  

^a UNIVERSITÉ DE RENNES 1   (France)

^b UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032063267     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0764-4442(98)80236-x     Document Type: Article

References (10)

1. [1] Ciarlet P.G., Mathematical Elasticity, Vol. II, Theory of Plates, North-Holland, 1997.
2. [2] Dauge M., Djurdjevic I., Rössle A., Higher order bending and membrane responses of thin linearly elastic plates, C. R. Acad. Sci. Paris 326 Sér. I (1998) 519-524.
3. [3] Dauge M., Gruais I., Asymptotics of arbitrary order for a thin elastic clamped plates I and II, Asymp. Anal. 13 (1996) 167-197, 16 (1998) 99-124.
4. [3] Dauge M., Gruais I., Asymptotics of arbitrary order for a thin elastic clamped plates I and II, Asymp. Anal. 13 (1996) 167-197, 16 (1998) 99-124.
5. [4] Dauge M., Gruais I., Rössle A., The Influence of Lateral Boundary Conditions on the Asymptotics in Thin Elastic Plates I and II, Prépublications 97-28, 97-29 IRMAR, Rennes, 1997.
6. [5] Maz'ya V.G., Nazarov S.A., Plamenevskii B.A., Asymptotische Theorie elliptischer Randwertaufgaben in singulär gestörten Gebieten II, Mathematische Monographien 83, Akad. Verl., 1991.
7. [6] Miara B., Justification of the asymptotic analysis of elastic plates. I: The linear case, Asymp. Anal. 9 (1994) 47-60.
8. [7] Nazarov S.A., On the accuracy of asymptotic approximations for longitudinal deformation of a thin plate, Math. Model. Numer. Anal. 30 (2) (1996) 185-213.
9. [8] Rössle A., Bischoff M., Wendland W., Ramm E., On the mathematical foundation of the (1,1, 2)-plate model, Int. J. Solids and Struct. (to appear).
10. [9] Schwab C., A-posteriori modeling error estimation for hierarchic plate models, Numer. Math. 74 (1996) 221-259.