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Volumn 134, Issue 6, 2004, Pages 1041-1083

Homogenization of the anisotropic heterogeneous linearized elasticity system in thin reticulated structures

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EID: 11044221658     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0308210500003620     Document Type: Article
Times cited : (10)

References (30)
  • 1
    • 21144473666 scopus 로고
    • Homogenization and two-scale convergence
    • G. Allaire. Homogenization and two-scale convergence. SIAM J. Math. Analysis 23 (1992), 1482-1518.
    • (1992) SIAM J. Math. Analysis , vol.23 , pp. 1482-1518
    • Allaire, G.1
  • 2
    • 21344474078 scopus 로고    scopus 로고
    • Multiscale convergence and reiterated homogenization
    • G. Allaire and M. Briane. Multiscale convergence and reiterated homogenization. Proc. R. Soc. Edinb. A 126 (1996), 297-342.
    • (1996) Proc. R. Soc. Edinb. A , vol.126 , pp. 297-342
    • Allaire, G.1    Briane, M.2
  • 3
    • 0030518431 scopus 로고    scopus 로고
    • Bloch wave homogenization for a spectral problem in fluid-solid structures
    • G. Allaire and C. Conca. Bloch wave homogenization for a spectral problem in fluid-solid structures. Arch. Ration. Mech. Analysis 135 (1996), 197-257.
    • (1996) Arch. Ration. Mech. Analysis , vol.135 , pp. 197-257
    • Allaire, G.1    Conca, C.2
  • 4
    • 0001085153 scopus 로고
    • Derivation of the double porosity model of single phase flow via homogenization theory
    • T. Arbogast, J. Douglas and U. Hornung. Derivation of the double porosity model of single phase flow via homogenization theory. SIAM J. Math. Analysis 21 (1990), 823-836.
    • (1990) SIAM J. Math. Analysis , vol.21 , pp. 823-836
    • Arbogast, T.1    Douglas, J.2    Hornung, U.3
  • 6
    • 0035541158 scopus 로고    scopus 로고
    • Homogenization of thin structures by two-scale method with respect to measures
    • G. Bouchitté and I. Fragalà. Homogenization of thin structures by two-scale method with respect to measures. SIAM J. Math. Analysis 32 (2001), 1198-1226.
    • (2001) SIAM J. Math. Analysis , vol.32 , pp. 1198-1226
    • Bouchitté, G.1    Fragalà, I.2
  • 7
    • 0037005612 scopus 로고    scopus 로고
    • Homogenization of elastic thin structures: A measure-fattening approach
    • G. Bouchitté and I. Fragalà. Homogenization of elastic thin structures: a measure-fattening approach. J. Convex Analysis 2 (2002), 339-362.
    • (2002) J. Convex Analysis , vol.2 , pp. 339-362
    • Bouchitté, G.1    Fragalà, I.2
  • 8
    • 23044520482 scopus 로고    scopus 로고
    • Two-scale convergence for nonlinear Dirichlet problems in perforated domains
    • J. Casado-Díaz. Two-scale convergence for nonlinear Dirichlet problems in perforated domains. Proc. R. Soc. Edinb. A 130 (2000), 249-276.
    • (2000) Proc. R. Soc. Edinb. A , vol.130 , pp. 249-276
    • Casado-Díaz, J.1
  • 9
    • 0036544617 scopus 로고    scopus 로고
    • Asymptotic behaviour of nonlinear problems in periodically perforated domains. The case p = N
    • J. Casado-Díaz. Asymptotic behaviour of nonlinear problems in periodically perforated domains. The case p = N. Asymp. Analysis 30 (2002), 1-26.
    • (2002) Asymp. Analysis , vol.30 , pp. 1-26
    • Casado-Díaz, J.1
  • 10
    • 11044221777 scopus 로고    scopus 로고
    • A multiscale method to the homogenization of elastic thin reticulated structures
    • Homogenization 2001, Proc. 1st HMS2000 (ed. L. Carbone and R. De Arcangelis)
    • J. Casado-Díaz and M. Luna-Laynez, A multiscale method to the homogenization of elastic thin reticulated structures. In Homogenization 2001, Proc. 1st HMS2000 (ed. L. Carbone and R. De Arcangelis). GAKUTO Int. Ser. Math. Sci. Appl. 18 (2003), 155-168.
    • (2003) GAKUTO Int. Ser. Math. Sci. Appl. , vol.18 , pp. 155-168
    • Casado-Díaz, J.1    Luna-Laynez, M.2
  • 11
    • 18044373200 scopus 로고    scopus 로고
    • An adaptation of the multi-scale methods for the analysis of very thin reticulated structures
    • J. Casado-Díaz, M. Luna-Laynez and J. D. Martín. An adaptation of the multi-scale methods for the analysis of very thin reticulated structures. C. R. Acad. Sci. Paris Sér. I 332 (2001), 223-228.
    • (2001) C. R. Acad. Sci. Paris Sér. I , vol.332 , pp. 223-228
    • Casado-Díaz, J.1    Luna-Laynez, M.2    Martín, J.D.3
  • 15
    • 0000742827 scopus 로고
    • Reinforced and honeycomb structures
    • D. Cioranescu and J. Saint Jean Paulin. Reinforced and honeycomb structures. J. Math. Pure Appl. 65 (1986), 403-422.
    • (1986) J. Math. Pure Appl. , vol.65 , pp. 403-422
    • Cioranescu, D.1    Paulin, J.S.J.2
  • 16
    • 0348085478 scopus 로고
    • Problèmes de Neumann et de Dirichlet dans des structures réticulées de faible épaisseur
    • D. Cioranescu and J. Saint Jean Paulin. Problèmes de Neumann et de Dirichlet dans des structures réticulées de faible épaisseur. C. R. Acad. Sci. Paris Sér I 303 (1986), 7-12.
    • (1986) C. R. Acad. Sci. Paris Sér I , vol.303 , pp. 7-12
    • Cioranescu, D.1    Paulin, J.S.J.2
  • 20
    • 0001532903 scopus 로고    scopus 로고
    • Homogénéisation d'un circuit électrique
    • M. Lenczner. Homogénéisation d'un circuit électrique. C. R. Acad. Sci. Paris Sér II 324 (1997), 537-542.
    • (1997) C. R. Acad. Sci. Paris Sér II , vol.324 , pp. 537-542
    • Lenczner, M.1
  • 22
    • 0032614977 scopus 로고    scopus 로고
    • Comportement asymptotique des solutions du système de l'élasticité linéarisée anisotrope hétérogène dans des cylindres minces
    • F. Murat and A. Sili. Comportement asymptotique des solutions du système de l'élasticité linéarisée anisotrope hétérogène dans des cylindres minces. C. R. Acad. Sci. Paris Sér. I 328 (1999), 179-184.
    • (1999) C. R. Acad. Sci. Paris Sér. I , vol.328 , pp. 179-184
    • Murat, F.1    Sili, A.2
  • 23
    • 0000315621 scopus 로고
    • A general convergence result for a functional related to the theory of homogenization
    • G. Nguetseng. A general convergence result for a functional related to the theory of homogenization. SIAM J. Math. Analysis 20 (1989), 608-623.
    • (1989) SIAM J. Math. Analysis , vol.20 , pp. 608-623
    • Nguetseng, G.1
  • 25
    • 0007105130 scopus 로고
    • The principle of splitting of an averaged operator for a nonlinear system of equations in periodic and random skeletal structures
    • G. P. Panasenko. The principle of splitting of an averaged operator for a nonlinear system of equations in periodic and random skeletal structures. Sov. Phys. Dokl. 25 (1982), 290-295.
    • (1982) Sov. Phys. Dokl. , vol.25 , pp. 290-295
    • Panasenko, G.P.1
  • 26
    • 11044226401 scopus 로고
    • Averaging processes in frame constructions with random properties
    • G. P. Panasenko. Averaging processes in frame constructions with random properties. Vych. Mat. Fiz. 23 (1983), 1098-1109.
    • (1983) Vych. Mat. Fiz. , vol.23 , pp. 1098-1109
    • Panasenko, G.P.1
  • 27
    • 70350307229 scopus 로고    scopus 로고
    • Mathematical modelling of rods
    • Amsterdam: North-Holland
    • L. Trabucho and J. M. Viaño. Mathematical modelling of rods. In Handbook of numerical analysis, vol. IV (Amsterdam: North-Holland, 1996).
    • (1996) Handbook of Numerical Analysis , vol.4
    • Trabucho, L.1    Viaño, J.M.2
  • 28
    • 0000656193 scopus 로고    scopus 로고
    • Connectedness and homogenization. Examples of fractal conductuvity
    • V. V. Zhikov. Connectedness and homogenization. Examples of fractal conductuvity. Mat. Sb. 187 (1996), 3-40.
    • (1996) Mat. Sb. , vol.187 , pp. 3-40
    • Zhikov, V.V.1
  • 29
    • 0034341523 scopus 로고    scopus 로고
    • On an extension of the method of two-scale convergence and its applications
    • V. V. Zhikov. On an extension of the method of two-scale convergence and its applications. Mat. Sb. 191 (2000), 973-1014.
    • (2000) Mat. Sb. , vol.191 , pp. 973-1014
    • Zhikov, V.V.1
  • 30
    • 0346342089 scopus 로고    scopus 로고
    • Homogenization of elasticity problems on singular structures
    • V. V. Zhikov. Homogenization of elasticity problems on singular structures. Dokl. Math. 64 (2001), 258-262.
    • (2001) Dokl. Math. , vol.64 , pp. 258-262
    • Zhikov, V.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.