메뉴 건너뛰기




Volumn 55, Issue 9, 2007, Pages 1964-1992

On the effective behavior of nonlinear inelastic composites: II. A second-order procedure

Author keywords

Elasto viscoplasticity; Hashin Shtrikman estimates; Homogenization; Nonlinear viscoelasticity; Second order method

Indexed keywords

HOMOGENIZATION METHOD; THERMOELASTICITY; VARIATIONAL TECHNIQUES; VISCOELASTICITY; VISCOPLASTICITY;

EID: 34347407151     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2007.02.004     Document Type: Article
Times cited : (56)

References (20)
  • 1
    • 27144440494 scopus 로고    scopus 로고
    • Improved affine estimates for nonlinear viscoelastic composites
    • Brenner R., and Masson R. Improved affine estimates for nonlinear viscoelastic composites. Eur. J. Mech. A-Solid. 24 (2005) 1002-1015
    • (2005) Eur. J. Mech. A-Solid. , vol.24 , pp. 1002-1015
    • Brenner, R.1    Masson, R.2
  • 3
    • 33749052303 scopus 로고    scopus 로고
    • Second-order theory for nonlinear composites and application to isotropic constituents
    • Idiart M., Danas K., and Ponte Castañeda P. Second-order theory for nonlinear composites and application to isotropic constituents. C. R. Mécanique 334 (2006) 575-581
    • (2006) C. R. Mécanique , vol.334 , pp. 575-581
    • Idiart, M.1    Danas, K.2    Ponte Castañeda, P.3
  • 4
    • 32444435565 scopus 로고    scopus 로고
    • Macroscopic behavior and field fluctuations in viscoplastic composites: second-order estimates versus full-field simulations
    • Idiart M., Moulinec H., Ponte Castañeda P., and Suquet P. Macroscopic behavior and field fluctuations in viscoplastic composites: second-order estimates versus full-field simulations. J. Mech. Phys. Solid. 54 (2006) 1029-1063
    • (2006) J. Mech. Phys. Solid. , vol.54 , pp. 1029-1063
    • Idiart, M.1    Moulinec, H.2    Ponte Castañeda, P.3    Suquet, P.4
  • 5
    • 3242655530 scopus 로고    scopus 로고
    • Nonlinear composites: a linearization procedure, exact to second-order in contrast and for which the strain-energy and the affine formulations coincide
    • Lahellec N., and Suquet P. Nonlinear composites: a linearization procedure, exact to second-order in contrast and for which the strain-energy and the affine formulations coincide. C. R. Mécanique 332 (2004) 693-700
    • (2004) C. R. Mécanique , vol.332 , pp. 693-700
    • Lahellec, N.1    Suquet, P.2
  • 6
    • 33750949213 scopus 로고    scopus 로고
    • Effective behavior of linear viscoelastic composites: a time-integration approach
    • Lahellec N., and Suquet P. Effective behavior of linear viscoelastic composites: a time-integration approach. Int. J. Solid. Struct. 44 (2006) 507-529
    • (2006) Int. J. Solid. Struct. , vol.44 , pp. 507-529
    • Lahellec, N.1    Suquet, P.2
  • 7
    • 34347405492 scopus 로고    scopus 로고
    • Lahellec, N., Suquet, P., 2007. On the effective behavior of nonlinear inelastic composites: I. Incremental variational principles. J. Mech. Phys. Solids, doi:10.1016/j.jmps.2007.02.003.
  • 8
    • 0032631588 scopus 로고    scopus 로고
    • Self-consistent estimates for the rate-dependent elastoplastic behaviour of polycrystalline materials
    • Masson R., and Zaoui A. Self-consistent estimates for the rate-dependent elastoplastic behaviour of polycrystalline materials. J. Mech. Phys. Solid. 47 (1999) 1543-1568
    • (1999) J. Mech. Phys. Solid. , vol.47 , pp. 1543-1568
    • Masson, R.1    Zaoui, A.2
  • 9
    • 0033871302 scopus 로고    scopus 로고
    • An affine formulation for the prediction of the effective properties of nonlinear composites and polycrystals
    • Masson R., Bornert M., Suquet P., and Zaoui A. An affine formulation for the prediction of the effective properties of nonlinear composites and polycrystals. J. Mech. Phys. Solid. 48 (2000) 1203-1227
    • (2000) J. Mech. Phys. Solid. , vol.48 , pp. 1203-1227
    • Masson, R.1    Bornert, M.2    Suquet, P.3    Zaoui, A.4
  • 10
    • 34347402902 scopus 로고
    • Eléments d'analyse et de résolution numérique des relations de l'élasto-plasticité. EDF Bulletin de la Direction des Etudes et recherches
    • Mialon P. Eléments d'analyse et de résolution numérique des relations de l'élasto-plasticité. EDF Bulletin de la Direction des Etudes et recherches. Série C. Mathématiques, Informatique 3 (1986) 57-89
    • (1986) Série C. Mathématiques, Informatique , Issue.3 , pp. 57-89
    • Mialon, P.1
  • 11
    • 0037146840 scopus 로고    scopus 로고
    • Strain-driven homogenization of inelastic micro-structures and composites based on an incremental variational formulation
    • Miehe C. Strain-driven homogenization of inelastic micro-structures and composites based on an incremental variational formulation. Int. J. Numer. Methods Eng. 55 (2002) 1285-1322
    • (2002) Int. J. Numer. Methods Eng. , vol.55 , pp. 1285-1322
    • Miehe, C.1
  • 12
    • 2942518273 scopus 로고    scopus 로고
    • Intraphase strain heterogeneity in nonlinear composites: a computational approach
    • Moulinec H., and Suquet P. Intraphase strain heterogeneity in nonlinear composites: a computational approach. Eur. J. Mech. A Solid. 22 (2003) 751-770
    • (2003) Eur. J. Mech. A Solid. , vol.22 , pp. 751-770
    • Moulinec, H.1    Suquet, P.2
  • 13
    • 0033115065 scopus 로고    scopus 로고
    • The variational formulation of viscoplastic constitutive updates
    • Ortiz M., and Stainier L. The variational formulation of viscoplastic constitutive updates. Comput. Meth. Appl. Mech. Eng. 171 (1999) 419-444
    • (1999) Comput. Meth. Appl. Mech. Eng. , vol.171 , pp. 419-444
    • Ortiz, M.1    Stainier, L.2
  • 14
    • 0030164614 scopus 로고    scopus 로고
    • Exact second-order estimates for the effective mechanical properties of nonlinear composite materials
    • Ponte Castañeda P. Exact second-order estimates for the effective mechanical properties of nonlinear composite materials. J. Mech. Phys. Solid. 44 (1996) 827-862
    • (1996) J. Mech. Phys. Solid. , vol.44 , pp. 827-862
    • Ponte Castañeda, P.1
  • 15
    • 0036533606 scopus 로고    scopus 로고
    • Second-order homogenization estimates for nonlinear composites incorporating field fluctuations
    • Ponte Castañeda P. Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I-Theory. J. Mech. Phys. Solid. 50 (2002) 737-757
    • (2002) I-Theory. J. Mech. Phys. Solid. , vol.50 , pp. 737-757
    • Ponte Castañeda, P.1
  • 17
    • 0002626123 scopus 로고
    • A hybrid method for nonlinear algebraic equation
    • Rabinowitz P. (Ed), Gordon and Breach, London
    • Powell M.J.D. A hybrid method for nonlinear algebraic equation. In: Rabinowitz P. (Ed). Numerical Methods for Nonlinear Algebraic Equations (1970), Gordon and Breach, London
    • (1970) Numerical Methods for Nonlinear Algebraic Equations
    • Powell, M.J.D.1
  • 18
    • 27844604675 scopus 로고    scopus 로고
    • A methodology for an accurate evaluation of the linearization procedures in nonlinear mean field homogenization
    • Rekik A., Bornert M., Auslender F., and Zaoui A. A methodology for an accurate evaluation of the linearization procedures in nonlinear mean field homogenization. C. R. Mécanique 333 (2005) 789-795
    • (2005) C. R. Mécanique , vol.333 , pp. 789-795
    • Rekik, A.1    Bornert, M.2    Auslender, F.3    Zaoui, A.4
  • 19
    • 0001483623 scopus 로고
    • Une méthode simplifiée pour le calcul des propriétés élastiques de matériaux hétérogènes à structure périodique
    • Suquet P. Une méthode simplifiée pour le calcul des propriétés élastiques de matériaux hétérogènes à structure périodique. C. R. Acad. Sci. Paris IIb 311 (1990) 769-774
    • (1990) C. R. Acad. Sci. Paris IIb , vol.311 , pp. 769-774
    • Suquet, P.1
  • 20
    • 0000469970 scopus 로고
    • Small-contrast perturbation expansions for the effective properties of nonlinear composites
    • Suquet P., and Ponte Castañeda P. Small-contrast perturbation expansions for the effective properties of nonlinear composites. C. R. Acad. Sci. Paris II 317 (1993) 1515-1522
    • (1993) C. R. Acad. Sci. Paris II , vol.317 , pp. 1515-1522
    • Suquet, P.1    Ponte Castañeda, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.