메뉴 건너뛰기




Volumn 463, Issue 2077, 2007, Pages 183-202

Field statistics in nonlinear composites. I. Theory

Author keywords

Field fluctuations; Nonlinear homogenization; Variational methods

Indexed keywords


EID: 34548359683     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2006.1756     Document Type: Article
Times cited : (59)

References (18)
  • 1
    • 0022439898 scopus 로고
    • Field fluctuations in multicomponent mixtures
    • doi:10.1016/0022- 5096(86)90002-5
    • Bobeth, M. & Diener, G. 1986 Field fluctuations in multicomponent mixtures. J. Mech. Phys. Solids 34, 1-17. (doi:10.1016/0022- 5096(86)90002-5)
    • (1986) J. Mech. Phys. Solids , vol.34 , pp. 1-17
    • Bobeth, M.1    Diener, G.2
  • 2
    • 0027294518 scopus 로고
    • Elastoplastic constitutive relations for fiber-reinforced solids
    • deBotton, G. & Ponte Castañeda, P. 1993 Elastoplastic constitutive relations for fiber-reinforced solids. Int. J. Solids Struct. 30, 1865-1890.
    • (1993) Int. J. Solids Struct , vol.30 , pp. 1865-1890
    • deBotton, G.1    Ponte Castañeda, P.2
  • 3
    • 0032016962 scopus 로고    scopus 로고
    • A general constitutive theory for linear and nonlinear particulate media with microstructure evolution
    • doi:10.1016/S0022-5096(97) 00095-1
    • Kailasam, M. & Ponte Castañeda, P. 1998 A general constitutive theory for linear and nonlinear particulate media with microstructure evolution. J. Mech. Phys. Solids 46, 427-465. (doi:10.1016/S0022-5096(97) 00095-1)
    • (1998) J. Mech. Phys. Solids , vol.46 , pp. 427-465
    • Kailasam, M.1    Ponte Castañeda, P.2
  • 4
    • 0000729673 scopus 로고
    • Residual stresses and stored elastic energy of composites and polycrystals
    • doi:10.1016/0022-5096(90)90023-W
    • Kreher, W. 1990 Residual stresses and stored elastic energy of composites and polycrystals. J. Mech. Phys. Solids 38, 115-128. (doi:10.1016/0022-5096(90)90023-W)
    • (1990) J. Mech. Phys. Solids , vol.38 , pp. 115-128
    • Kreher, W.1
  • 5
    • 24944467707 scopus 로고    scopus 로고
    • Optimal lower bounds on the hydrostatic stress amplification inside random twophase elastic composites
    • doi:10.1016/j.jmps.2005.06.007
    • Lipton, R. 2005 Optimal lower bounds on the hydrostatic stress amplification inside random twophase elastic composites. J. Mech. Phys. Solids 53, 2471-2481. (doi:10.1016/j.jmps.2005.06.007)
    • (2005) J. Mech. Phys. Solids , vol.53 , pp. 2471-2481
    • Lipton, R.1
  • 6
    • 0009437553 scopus 로고
    • Stress fluctuations in elastic composites
    • Parton, V. Z. & Buryachenko, V. A. 1990 Stress fluctuations in elastic composites. Sov. Phys. Dokl. 35, 191-193.
    • (1990) Sov. Phys. Dokl , vol.35 , pp. 191-193
    • Parton, V.Z.1    Buryachenko, V.A.2
  • 7
    • 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
  • 8
    • 44049113784 scopus 로고
    • New variational principles in plasticity and their application to composite materials
    • doi:10.1016/0022-5096(92)90050-C
    • Ponte Castañeda, P. 1992 New variational principles in plasticity and their application to composite materials. J. Mech. Phys. Solids 40, 1757-1788. (doi:10.1016/0022-5096(92)90050-C)
    • (1992) J. Mech. Phys. Solids , vol.40 , pp. 1757-1788
    • Ponte Castañeda, P.1
  • 9
    • 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
  • 10
    • 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
  • 11
    • 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
  • 13
    • 33746446315 scopus 로고    scopus 로고
    • Variational second-order estimates for nonlinear composites
    • doi:10.1098/rspa.1999.0380
    • Ponte Castañeda, P. & Willis, J. R. 1999 Variational second-order estimates for nonlinear composites. Proc. R. Soc. A 455, 1799-1811. (doi:10.1098/rspa.1999.0380)
    • (1999) Proc. R. Soc. A , vol.455 , pp. 1799-1811
    • Ponte Castañeda, P.1    Willis, J.R.2
  • 14
    • 0028496294 scopus 로고
    • Constitutive models for porous materials with evolving microstructure
    • doi:10.1016/0022-5096(94)90005-1
    • Ponte Castañeda, P. & Zaidman, M. 1994 Constitutive models for porous materials with evolving microstructure. J. Mech. Phys. Solids 42, 1459-1497. (doi:10.1016/0022-5096(94)90005-1)
    • (1994) J. Mech. Phys. Solids , vol.42 , pp. 1459-1497
    • Ponte Castañeda, P.1    Zaidman, M.2
  • 15
    • 0000825775 scopus 로고
    • Overall properties of nonlinear composites: A modified secant moduli theory and its link with Ponte Castañeda's nonlinear variational procedure
    • Suquet, P. 1995 Overall properties of nonlinear composites: a modified secant moduli theory and its link with Ponte Castañeda's nonlinear variational procedure. CR Acad. Sci. Paris II 320, 563-571.
    • (1995) CR Acad. Sci. Paris II , vol.320 , pp. 563-571
    • Suquet, P.1
  • 16
    • 13844258691 scopus 로고    scopus 로고
    • Bounds for the effective constitutive relation of a nonlinear composite
    • doi:10.1098/rspa.2004.1309
    • Talbot, D. R. S. & Willis, J. R. 2004 Bounds for the effective constitutive relation of a nonlinear composite. Proc. R. Soc. A 460, 2705-2723. (doi:10.1098/rspa.2004.1309)
    • (2004) Proc. R. Soc. A , vol.460 , pp. 2705-2723
    • Talbot, D.R.S.1    Willis, J.R.2
  • 18
    • 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. Appl. Mech. 21, 1-78.
    • (1981) Adv. Appl. Mech , vol.21 , pp. 1-78
    • Willis, J.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.