Asymptotic behavior of the solutions of monotone problems in flat cylinders

Asymptotic Analysis

Volumn 19, Issue 1, 1999, Pages 19-33

  Sili, A ^a  

^a UNIVERSITÉ DE TOULON   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038293610     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. D. Caillerie, Homogenization in Elasticity, Lectures on Homogenization Techniques for Composite Media, CISM, Udine, 1985.
2. P.G. Ciarlet, Mathematical Elasticity, Vol. II, Theory of Plates, Stud. Math. Appl., J.L. Lions, G. Papanicolaou, H. Fujita and H.B. Keller, eds, North-Holland, Amsterdam, 1997.
3. P.G. Ciarlet and P. Destuynder, A justification of a nonlinear model in plate theory, Comput. Methods Appl. Mech. Engrg. 17/18 (1979), 227-258.
4. P.G. Ciarlet, V. Lods and B. Miara, Asymptotic Analysis of linearly elastic shells, II. Justification of flexural shell equations, Arch. Rational Mech. Anal. 136 (1996), 163-190.
5. D. Cioranescu and J. Saint Jean Paulin, Conductivity problems for thin tall structures depending on several small parameters, Adv. Math. Sci. Appl. 5 (1995), 287-320.
6. A. Damlamian and M. Vogelius, Homogenization limits of the equations of elasticity in thin domains, SIAM J. Math. Anal. 18 (1987), 435-451.
7. M. Dauge and I. Gruais, Asymptotics of arbitrary order for a thin elastic clamped plate, I: Optimal error estimates, Asympt. Anal. 13 (1996), 167-197.
8. P. Destuynder, Comparaison entre les modèles tridimensionnels et bidimensionnels de plaques en élasticité, RAIRO Anal. Numer. 15 (1981), 331-369.
9. H. Le Dret, Convergence of displacements and stresses in linearly elastic slender rods as the thickness goes to zero, Asympt. Anal. 10 (1995), 367-402.
10. F. Murat and A. Sili, Problèmes monotones dans des cylindres de faible diamètre, C. R. Acad. Sci. Paris Sér. I 319 (1994), 567-572.
11. F. Murat and A. Sili, Problèmes monotones dans des cylindres de faible diamètre formés de matériaux hétérogènes, C. R. Acad. Sci. Paris Sér. I 320 (1995), 1199-1204.
12. F. Murat and A. Sili, Anisotropic heterogeneous problems of elasticity in cylinders with vanishing diameter, to appear.
13. L. Trabucho and J.M. Viano, Mathematical modelling of rods, in: Handbook of Numerical Analysis, Vol. IV, P.G. Ciarlet and J.L. Lions, eds, North-Holland, Amsterdam, 1996.