Geodesic
An asymptotic analysis of junctions of non-homogeneous elastic rods: boundary layers and asymptotic expansions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 33 (1993) no. 11, pp. 1693-1721 
G. P. Panasenko; J. Saint Jean Paulin. An asymptotic analysis of junctions of non-homogeneous elastic rods: boundary layers and asymptotic expansions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 33 (1993) no. 11, pp. 1693-1721. http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_11_a6/
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Cioranescu D., Saint Jean Paulin J., “Homogenization in open sets with holes”, J. Math. Analys. and Appl., 71:2 (1979), 590–607 | DOI | MR | Zbl

[2] Panasenko G. P., “The principle of splitting of an averaged operator for a nonlinear system of equations in periodic and random skeletal structures”, Soviet Math. Dokl., 25:2 (1982) (English translation) | Zbl

[3] Bakhvalov N. S., Panasenko G. P., Homogenization: Averaging processes in periodic media, Kluwer, Dordrecht–Boston–London, 1989 | MR | Zbl

[4] Cioranescu D., Saint Jean Paulin J., “Reinforced and honeycomb structures”, J. Math. Pures et Appl., 65 (1986), 403–422 | MR | Zbl

[5] Cioranescu D., Saint Jean Paulin J., Asymptotic analyis of elastic wireworks, Publ. Lab. d'Anaiyse Numer. Univ. P. et. M. Curie, L. A. 189, R89008, Paris, 1989 pp.

[6] Cioranescu D., Saint Jean Paulin J., Towers and cranes in linearized elasticity: an asymptotic study, Publ. du D. M. I. Univ. de Metz No 02/89, 1989

[7] Panasenko G. P., “Asymptotic solutions of the elasticity theory system of equations for lattice and skeletal structures”, Math. USSR Sbornik, 75 (1992) (English translation) | Zbl

[8] Lions J.-L., Perturbations singulieres dans les problemes aux limites et en controle optimal, Lect. Notes Math., 323, Springer, Berlin, 1973 | MR | Zbl

[9] Le Dret H., “Modelling of the junction between two rods”, J. Math. Pures et Appl., 68 (1989), 365–397 | MR | Zbl

[10] Le Dret H., Problemes variationnels dans les multi-domaines: modelisation des jonctions et applications, Masson, Paris, 1991 | MR | Zbl

[11] Panasenko G. P., “Asymptotic analysis of rod systems”, Rus. J. Math. Phys., 1994, no. 1–2 | MR

[12] Ciarlet P. G., Plates and junctions in elastic microstructures. An asymptotic analysis, Masson, Paris, 1990 | MR

[13] Nazarov S. A., “Junction problems of domaines of different dimensions: asymptotic expansions” (to appear)

[14] Sancnez-Palencia E., “Singularities and junctions in elasticity”, Nonlinear Partial Different. Equations and Appl., College de France Seminar, 9, Longman, Paris, 1990

[15] Kozlova M. V., Panasenko G. P., “Averaging of the three-dimensional problem of elasticity theory for an inhomogenedus rod”, Comput. Math. and Math. Phys., 31:10 (1991), 128–131 | MR | Zbl

[16] Oleinik O. A., Yosifian G. A., “On the asymptotic behaviour at infinity of a solution of linear elasticity equation”, Arch. Ration. Mech. and Analys., 78:1 (1982), 29–53 | MR | Zbl

[17] Oleinik O. A., Iosifyan G. A., Shamaev A. S., Matematicheskie zadachi teorii uprugosti v neodnorodnykh sredakh, Izd-vo MGU, M., 1990

[18] Panasenko G. P., “Asymptotics of high order of solutions of the contact problem for periodic structures”, Math. USSR Sbornik, 38 (1981) (English translation) | DOI | Zbl