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Volumn 78, Issue 6, 2000, Pages 811-826

Perturbation based stochastic finite element method for homogenization of two-phase elastic composites

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; ELASTIC MODULI; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; MONTE CARLO METHODS; PERTURBATION TECHNIQUES; PROBABILITY DISTRIBUTIONS; PROBLEM SOLVING; RANDOM PROCESSES; STRUCTURAL ANALYSIS; TENSORS;

EID: 0342955063     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(00)00116-4     Document Type: Article
Times cited : (138)

References (39)
  • 1
    • 0025898008 scopus 로고
    • Limit distributions of the states and homogenization in random media
    • Arminjon M. Limit distributions of the states and homogenization in random media. Acta Mech. 88:1991;27-59.
    • (1991) Acta Mech , vol.88 , pp. 27-59
    • Arminjon, M.1
  • 2
    • 0023592964 scopus 로고
    • Optimal bounds and microgeometries for elastic two-phase composites
    • Avellaneda M. Optimal bounds and microgeometries for elastic two-phase composites. SIAM J Appl Math. 47:1987;1216-1228.
    • (1987) SIAM J Appl Math , vol.47 , pp. 1216-1228
    • Avellaneda, M.1
  • 3
    • 0030088571 scopus 로고    scopus 로고
    • Finite element analysis of viscoplastic composite materials and structures
    • Bahei-El-Din Y.A. Finite element analysis of viscoplastic composite materials and structures. Int J Comp Mat Struct. 3:1996;1-28.
    • (1996) Int J Comp Mat Struct , vol.3 , pp. 1-28
    • Bahei-El-Din, Y.A.1
  • 6
    • 0016369176 scopus 로고
    • Application of statistical theories for the determination of thermal, electrical and magnetic properties of heterogeneous materials
    • In: Broutman LJ, Kroch RH, editors, New York: Academic Press
    • Beran MJ. Application of statistical theories for the determination of thermal, electrical and magnetic properties of heterogeneous materials. In: Broutman LJ, Kroch RH, editors, Mechanics of composite materials. New York: Academic Press; 1974.
    • (1974) Mechanics of Composite Materials
    • Beran, M.J.1
  • 7
    • 0007039698 scopus 로고
    • The art of computer generation of random variables
    • In: Rao CR, editor, Amsterdam: Elsevier;
    • Boswell MT, et al. The art of computer generation of random variables. In: Rao CR, editor, Handbook of statistics, Computational Statistics, vol. 9. Amsterdam: Elsevier; 1991. p. 662-721.
    • (1991) Handbook of Statistics, Computational Statistics , vol.9 , pp. 662-721
    • Boswell, M.T.1
  • 8
    • 38149143539 scopus 로고
    • Remarks on the homogenization of connected media
    • Braides A., Piat V.C. Remarks on the homogenization of connected media. Nonlinear Anal Theor Meth Appl. 22(4):1994;391-407.
    • (1994) Nonlinear Anal Theor Meth Appl , vol.22 , Issue.4 , pp. 391-407
    • Braides, A.1    Piat, V.C.2
  • 9
    • 77956694471 scopus 로고    scopus 로고
    • Nonlinear Composites
    • In: Van Der Giessen E, Wu TY, editors, Academic Press
    • Castaneda PP, Suquet PM. Nonlinear Composites. In: Van Der Giessen E, Wu TY, editors, Advances in Applied Mechanics, vol. 34. Academic Press, 1998.
    • (1998) Advances in Applied Mechanics , vol.34
    • Castaneda, P.P.1    Suquet, P.M.2
  • 10
    • 0029479525 scopus 로고
    • Estimates of elastic moduli for granular material with anisotropic random packing structure
    • Chang S., Chao S.J., Chang Y. Estimates of elastic moduli for granular material with anisotropic random packing structure. Int J Solids Struct. 32:1995;1989-2008.
    • (1995) Int J Solids Struct , vol.32 , pp. 1989-2008
    • Chang, S.1    Chao, S.J.2    Chang, Y.3
  • 12
    • 0029278435 scopus 로고
    • A parallel Monte-Carlo finite element procedure for the analysis of multicomponent media
    • Cruz M.E., Patera A.T. A parallel Monte-Carlo finite element procedure for the analysis of multicomponent media. Int J Num Meth Engng. 38:1995;1087-1121.
    • (1995) Int J Num Meth Engng , vol.38 , pp. 1087-1121
    • Cruz, M.E.1    Patera, A.T.2
  • 13
    • 0007082965 scopus 로고    scopus 로고
    • Computational advances in modeling composites and heterogeneous materials
    • editor
    • Fish J, editor. Computational advances in modeling composites and heterogeneous materials. Comput Meth Appl Mech Engng 1999;172.
    • (1999) Comput Meth Appl Mech Engng , vol.172
    • Fish, J.1
  • 15
    • 0030710851 scopus 로고    scopus 로고
    • Heterogeneous solids. Part I: Analytical and numerical 1-D results on boundary effects
    • Frantziskonis G, Renaudin P, Breysse D. Heterogeneous solids. Part I: analytical and numerical 1-D results on boundary effects. Eur J Mech A/Solids 1997;16(3):409-23.
    • (1997) Eur J Mech A/Solids , vol.16 , Issue.3 , pp. 409-423
    • Frantziskonis, G.1    Renaudin, P.2    Breysse, D.3
  • 16
    • 0031508202 scopus 로고    scopus 로고
    • Spectral techniques for stochastic finite elements
    • Ghanem R.G., Spanos P.D. Spectral techniques for stochastic finite elements. Arch Comput Meth Engng. 4(1):1997;63-100.
    • (1997) Arch Comput Meth Engng , vol.4 , Issue.1 , pp. 63-100
    • Ghanem, R.G.1    Spanos, P.D.2
  • 17
    • 0029209453 scopus 로고
    • Multiple scale analysis of heterogeneous elastic structures using homogenization theory and Voronoi cell finite element method
    • Ghosh S., Lee K., Moorthy S. Multiple scale analysis of heterogeneous elastic structures using homogenization theory and Voronoi cell finite element method. Int J Solids Struct. 32:1995;27-62.
    • (1995) Int J Solids Struct , vol.32 , pp. 27-62
    • Ghosh, S.1    Lee, K.2    Moorthy, S.3
  • 18
    • 0033898030 scopus 로고    scopus 로고
    • Stochastic mechanics
    • Grigoriu M. Stochastic mechanics. Int J Solids Struct. 37:2000;197-214.
    • (2000) Int J Solids Struct , vol.37 , pp. 197-214
    • Grigoriu, M.1
  • 19
    • 0032657041 scopus 로고    scopus 로고
    • Numerical analysis of localization using a viscoplastic regularization: Influence of stochastic materials defects
    • Gutierrez M.A., de Borst R. Numerical analysis of localization using a viscoplastic regularization: influence of stochastic materials defects. Int J Num Meth Engng. 44:1999;1823-1841.
    • (1999) Int J Num Meth Engng , vol.44 , pp. 1823-1841
    • Gutierrez, M.A.1    De Borst, R.2
  • 20
    • 0007544668 scopus 로고
    • A variational approach to the theory of the elastic behavior of multiphase materials
    • Hashin Z., Shtrikman S. A variational approach to the theory of the elastic behavior of multiphase materials. J Mech Phys Sol. 11:1963;127-140.
    • (1963) J Mech Phys Sol , vol.11 , pp. 127-140
    • Hashin, Z.1    Shtrikman, S.2
  • 21
    • 0032400121 scopus 로고    scopus 로고
    • Monte-Carlo techniques in computational stochastic mechanics
    • Hurtado J.E., Barbat A.H. Monte-Carlo techniques in computational stochastic mechanics. Arch Comput Meth Engng. 5(1):1998;3-30.
    • (1998) Arch Comput Meth Engng , vol.5 , Issue.1 , pp. 3-30
    • Hurtado, J.E.1    Barbat, A.H.2
  • 23
    • 0029722427 scopus 로고    scopus 로고
    • Homogenization in random elastic media
    • Kaminski M. Homogenization in random elastic media. Comput Ass Mech Engng Sci. 3(1):1996;9-22.
    • (1996) Comput Ass Mech Engng Sci , vol.3 , Issue.1 , pp. 9-22
    • Kaminski, M.1
  • 24
    • 0343618410 scopus 로고    scopus 로고
    • Homogenized properties of n-component composite materials
    • Kaminski M. Homogenized properties of n-component composite materials. Int J Engng Sci. 38(4):2000;405-427.
    • (2000) Int J Engng Sci , vol.38 , Issue.4 , pp. 405-427
    • Kaminski, M.1
  • 25
    • 0034135251 scopus 로고    scopus 로고
    • Numerical homogenization of n-phase composites including stochastic interface defects
    • Kaminski M., Kleiber M. Numerical homogenization of n-phase composites including stochastic interface defects. Int J Num Meth Engng. 47:2000;1001-1025.
    • (2000) Int J Num Meth Engng , vol.47 , pp. 1001-1025
    • Kaminski, M.1    Kleiber, M.2
  • 26
    • 0039623613 scopus 로고    scopus 로고
    • Stochastic finite element method in random non-homogeneous media
    • In: Desideri JA, et al., editor, New York: Wiley;
    • Kaminski M, Kleiber M. Stochastic finite element method in random non-homogeneous media. In: Desideri JA, et al., editor, Numerical Methods in Engineering'96. New York: Wiley; 1996, p. 35-41.
    • (1996) Numerical Methods in Engineering'96 , pp. 35-41
    • Kaminski, M.1    Kleiber, M.2
  • 27
    • 0030216656 scopus 로고    scopus 로고
    • Stochastic structural interface defects in composite materials
    • Kaminski M., Kleiber M. Stochastic structural interface defects in composite materials. Int J Solids Struct. 33(20-22):1996;3035-3056.
    • (1996) Int J Solids Struct , vol.33 , Issue.2022 , pp. 3035-3056
    • Kaminski, M.1    Kleiber, M.2
  • 29
    • 0038963227 scopus 로고
    • Recent progress in the mathematical modeling of composite materials
    • In: Sih G, et al., editors. Composite materials response Amsterdam: Elsevier
    • Kohn RV. Recent progress in the mathematical modeling of composite materials. In: Sih G, et al., editors. Composite materials response. Constitutive relations and damage mechanisms. Amsterdam: Elsevier; 1988. p. 155-77.
    • (1988) Constitutive Relations and Damage Mechanisms , pp. 155-177
    • Kohn, R.V.1
  • 30
    • 0038963226 scopus 로고
    • Effective moduli of random elastic media- unified calculation of bounds and self-consistent values
    • Kröner E. Effective moduli of random elastic media- unified calculation of bounds and self-consistent values. Mech Res Comm. 4:1977;389-393.
    • (1977) Mech Res Comm , vol.4 , pp. 389-393
    • Kröner, E.1
  • 31
    • 85031563566 scopus 로고
    • Micromechanics of random media
    • Proc Symp 'Micromechanics of Random Media' MEET'N'93
    • Ostoja-Starzewski M, Jasiuk I. Micromechanics of random media. Proc Symp 'Micromechanics of Random Media' MEET'N'93. Appl Mech Rev 1994;47(1).
    • (1994) Appl Mech Rev , vol.47 , Issue.1
    • Ostoja-Starzewski, M.1    Jasiuk, I.2
  • 33
    • 0030655112 scopus 로고    scopus 로고
    • Heterogeneous solids. Part II: Numerical 2-D results on boundary and other relevant phenomena
    • Renaudin P, Breysse D, Frantziskonis G. Heterogeneous solids. Part II: numerical 2-D results on boundary and other relevant phenomena. Eur J Mech A/Solids 1997;16(3):425-43.
    • (1997) Eur J Mech A/Solids , vol.16 , Issue.3 , pp. 425-443
    • Renaudin, P.1    Breysse, D.2    Frantziskonis, G.3
  • 34
    • 0027100591 scopus 로고
    • On the homogenization and the simulation of random materials
    • Sab K. On the homogenization and the simulation of random materials. Eur J Mech Sol. 11:1992;585-607.
    • (1992) Eur J Mech Sol , vol.11 , pp. 585-607
    • Sab, K.1
  • 36
    • 25044432137 scopus 로고
    • A dual method in homogenization: Application to elastic media
    • Suquet P. A dual method in homogenization: application to elastic media. J Mech Theor Appl 1992;79-98.
    • (1992) J Mech Theor Appl , vol.79-98
    • Suquet, P.1
  • 37
    • 0029342850 scopus 로고
    • Uniaxial strength of polymeric-matrix fibrous composites predicted through a homogenization approach
    • Taliercio A, Sagramoso P. Uniaxial strength of polymeric-matrix fibrous composites predicted through a homogenization approach. Int J Solids Struct 1995;32(14):2095-123.
    • (1995) Int J Solids Struct , vol.32 , Issue.14 , pp. 2095-2123
    • Taliercio, A.1    Sagramoso, P.2
  • 38
    • 0000896072 scopus 로고    scopus 로고
    • Digital image-based modeling applied to the homogenization analysis of composite materials
    • Terada K, Miura T, Kikuchi N. Digital image-based modeling applied to the homogenization analysis of composite materials. Comput Mech 1997;20:331-46.
    • (1997) Comput Mech , vol.20 , pp. 331-346
    • Terada, K.1    Miura, T.2    Kikuchi, N.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.