메뉴 건너뛰기




Volumn 463, Issue 2077, 2007, Pages 203-222

Field statistics in nonlinear composites. II. Applications

Author keywords

Field fluctuations; Nonlinear homogenization; Variational methods

Indexed keywords


EID: 36349035372     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2006.1757     Document Type: Article
Times cited : (13)

References (20)
  • 1
    • 17144385819 scopus 로고    scopus 로고
    • Mechanical field fluctuations in polycrystals estimated by homogenization techniques
    • doi:10.1098/rspa.2004.1278
    • Brenner, R., Castelnau, O. & Badea, L. 2004 Mechanical field fluctuations in polycrystals estimated by homogenization techniques. Proc. R. Soc. A 460, 3589-3612. (doi:10.1098/rspa.2004.1278)
    • (2004) Proc. R. Soc. A , vol.460 , pp. 3589-3612
    • Brenner, R.1    Castelnau, O.2    Badea, L.3
  • 2
    • 16344369729 scopus 로고    scopus 로고
    • Transversely isotropic sequentially laminated composites in finite elasticity
    • doi:10.1016/j.jmps.2005.01.006
    • deBotton, G. 2005 Transversely isotropic sequentially laminated composites in finite elasticity. J. Mech. Phys. Solids 53, 1334-1361. (doi:10.1016/j.jmps.2005.01.006)
    • (2005) J. Mech. Phys. Solids , vol.53 , pp. 1334-1361
    • deBotton, G.1
  • 3
    • 0036887746 scopus 로고    scopus 로고
    • High-rank nonlinear sequentially laminated composites and their possible tendency towards isotropic behavior
    • doi:10.1016/S0022-5096(02) 00049-2
    • deBotton, G. & Hariton, I. 2002 High-rank nonlinear sequentially laminated composites and their possible tendency towards isotropic behavior. J. Mech. Phys. Solids 50, 2577-2595. (doi:10.1016/S0022-5096(02) 00049-2)
    • (2002) J. Mech. Phys. Solids , vol.50 , pp. 2577-2595
    • deBotton, G.1    Hariton, I.2
  • 5
    • 0242306118 scopus 로고    scopus 로고
    • Field fluctuations and macroscopic properties in nonlinear composites
    • doi:10.1016/S0020-7683(03)00352-4
    • Idiart, M. I. & Ponte Castañeda, P. 2003 Field fluctuations and macroscopic properties in nonlinear composites. Int. J. Solids Struct. 40, 7015-7033. (doi:10.1016/S0020-7683(03)00352-4)
    • (2003) Int. J. Solids Struct , vol.40 , pp. 7015-7033
    • Idiart, M.I.1    Ponte Castañeda, P.2
  • 6
    • 34548359683 scopus 로고    scopus 로고
    • Field statistics in nonlinear composites. I. Theory
    • doi:10.1098/rspa.2006.1756
    • Idiart, M. I. & Ponte Castañeda P. 2006 Field statistics in nonlinear composites. I. Theory. Proc. R. Soc. A 463, 183-202. (doi:10.1098/rspa.2006.1756)
    • (2006) Proc. R. Soc. A , vol.463 , pp. 183-202
    • Idiart, M.I.1    Ponte Castañeda, P.2
  • 7
    • 32444435565 scopus 로고    scopus 로고
    • Macroscopic behavior and field fluctuations in viscoplastic composites: Second-order estimates vs full-field simulations
    • doi:10.1016/j.jmps.2005.11.004
    • Idiart, M. I., Moulinec, H., Ponte Castañeda, P. & Suquet, P. 2006 Macroscopic behavior and field fluctuations in viscoplastic composites: second-order estimates vs full-field simulations. J. Mech. Phys. Solids 54, 1029-1063. (doi:10.1016/j.jmps.2005.11.004)
    • (2006) J. Mech. Phys. Solids , vol.54 , pp. 1029-1063
    • Idiart, M.I.1    Moulinec, H.2    Ponte Castañeda, P.3    Suquet, P.4
  • 8
    • 2342503908 scopus 로고    scopus 로고
    • Macroscopic properties and field fluctuations in model power-law polycrystals: Full-field solutions versus self-consistent estimates
    • doi:10.1098/rspa.2003.1212
    • Lebensohn, R. A., Liu, Y. & Ponte Castañeda, P. 2004a Macroscopic properties and field fluctuations in model power-law polycrystals: full-field solutions versus self-consistent estimates. Proc. R. Soc. A 460, 1381-1405. (doi:10.1098/rspa.2003.1212)
    • (2004) Proc. R. Soc. A , vol.460 , pp. 1381-1405
    • Lebensohn, R.A.1    Liu, Y.2    Ponte Castañeda, P.3
  • 9
    • 4544350923 scopus 로고    scopus 로고
    • On the accuracy of the self-consistent approximation for polycrystals: Comparison with full-field numerical simulations
    • doi:10.1016/j.actamat.2004.07.040
    • Lebensohn, R. A., Liu, Y. & Ponte Castañeda, P. 2004b On the accuracy of the self-consistent approximation for polycrystals: comparison with full-field numerical simulations. Acta Mat. 52, 5347-5361. (doi:10.1016/j.actamat.2004.07.040)
    • (2004) Acta Mat , vol.52 , pp. 5347-5361
    • Lebensohn, R.A.1    Liu, Y.2    Ponte Castañeda, P.3
  • 10
    • 0346785303 scopus 로고    scopus 로고
    • Second-order theory for the effective behavior and field fluctuations in viscoplastic polycrystals
    • doi:10.1016/S0022-5096(03) 00078-4
    • Liu, Y. & Ponte Castañeda, P. 2004a Second-order theory for the effective behavior and field fluctuations in viscoplastic polycrystals. J. Mech. Phys. Solids 52, 467-495. (doi:10.1016/S0022-5096(03) 00078-4)
    • (2004) J. Mech. Phys. Solids , vol.52 , pp. 467-495
    • Liu, Y.1    Ponte Castañeda, P.2
  • 11
    • 1642312079 scopus 로고    scopus 로고
    • Homogenization estimates for the average behavior and field fluctuations in cubic and hexagonal viscoplastic polycrystals
    • doi:10.1016/j.jmps.2003.08.006
    • Liu, Y. & Ponte Castañeda, P. 2004b Homogenization estimates for the average behavior and field fluctuations in cubic and hexagonal viscoplastic polycrystals. J. Mech. Phys. Solids 52, 1175-1211. (doi:10.1016/j.jmps.2003.08.006)
    • (2004) J. Mech. Phys. Solids , vol.52 , pp. 1175-1211
    • Liu, Y.1    Ponte Castañeda, P.2
  • 12
    • 0003259901 scopus 로고
    • Thermal expansion coefficients of heterogeneous materials
    • Levin, V. M. 1967 Thermal expansion coefficients of heterogeneous materials. Mekh. Tverd. Tela. 2, 83-94.
    • (1967) Mekh. Tverd. Tela , vol.2 , pp. 83-94
    • Levin, V.M.1
  • 13
  • 14
    • 2942518273 scopus 로고    scopus 로고
    • Intraphase strain heterogeneity in nonlinear composites: A computational approach
    • doi:10.1016/S0997-7538(03)00079-2
    • Moulinec, H. & Suquet, P. 2003 Intraphase strain heterogeneity in nonlinear composites: a computational approach. Eur. J. Mech. A 22, 751-770. (doi:10.1016/S0997-7538(03)00079-2)
    • (2003) Eur. J. Mech. A , vol.22 , pp. 751-770
    • Moulinec, H.1    Suquet, P.2
  • 15
    • 32444438320 scopus 로고    scopus 로고
    • Homogenization for nonlinear composites in the light of numerical simulations
    • ed. P. Ponte Castañeda, J. J. Telega & B. Gambin, pp, Dordrecht, The Netherlands: Kluwer Academic Publishers
    • Moulinec, H. & Suquet, P. 2004 Homogenization for nonlinear composites in the light of numerical simulations. In Nonlinear homogenization and its applications to composites, polycrystals and smart materials (ed. P. Ponte Castañeda, J. J. Telega & B. Gambin), pp. 193-223. Dordrecht, The Netherlands: Kluwer Academic Publishers.
    • (2004) Nonlinear homogenization and its applications to composites, polycrystals and smart materials , pp. 193-223
    • Moulinec, H.1    Suquet, P.2
  • 16
    • 44949277378 scopus 로고
    • The effective mechanical properties of nonlinear isotropic composites
    • doi:10.1016/0022-5096(91)90030-R
    • Ponte Castañeda, P. 1991 The effective mechanical properties of nonlinear isotropic composites. J. Mech. Phys. Solids 39, 45-71. (doi:10.1016/0022-5096(91)90030-R)
    • (1991) J. Mech. Phys. Solids , vol.39 , pp. 45-71
    • Ponte Castañeda, P.1
  • 17
    • 0030164614 scopus 로고    scopus 로고
    • Exact second-order estimates for the effective mechanical properties of nonlinear composite materials
    • doi:10.1016/0022-5096(96)00015-4
    • Ponte Castañeda, P. 1996 Exact second-order estimates for the effective mechanical properties of nonlinear composite materials. J. Mech. Phys. Solids 44, 827-862. (doi:10.1016/0022-5096(96)00015-4)
    • (1996) J. Mech. Phys. Solids , vol.44 , pp. 827-862
    • Ponte Castañeda, P.1
  • 18
    • 0036533606 scopus 로고    scopus 로고
    • Second-order homogenization estimates for nonlinear composites incorporating field fluctuations: I-theory
    • doi:10.1016/S0022-5096(01) 00099-0
    • Ponte Castañeda, P. 2002a Second-order homogenization estimates for nonlinear composites incorporating field fluctuations: I-theory. J. Mech. Phys. Solids 50, 737-757. (doi:10.1016/S0022-5096(01) 00099-0)
    • (2002) J. Mech. Phys. Solids , vol.50 , pp. 737-757
    • Ponte Castañeda, P.1
  • 19
    • 0036533503 scopus 로고    scopus 로고
    • Second-order homogenization estimates for nonlinear composites incorporating field fluctuations: II-applications
    • doi:10.1016/S0022-5096(01)00098-9
    • Ponte Castañeda, P. 2002b Second-order homogenization estimates for nonlinear composites incorporating field fluctuations: II-applications. J. Mech. Phys. Solids 50, 759-782. (doi:10.1016/S0022-5096(01)00098-9)
    • (2002) J. Mech. Phys. Solids , vol.50 , pp. 759-782
    • Ponte Castañeda, P.1
  • 20
    • 0019697033 scopus 로고
    • Variational and related methods for the overall properties of composites
    • Willis, J. R. 1981 Variational and related methods for the overall properties of composites. Adv. App. Mech. 21, 1-78.
    • (1981) Adv. App. Mech , vol.21 , pp. 1-78
    • Willis, J.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.