메뉴 건너뛰기




Volumn 22, Issue 1, 2006, Pages 131-157

An enhanced affine formulation and the corresponding numerical algorithms for the mean-field homogenization of elasto-viscoplastic composites

Author keywords

B. Cyclic loading; B. Elasto viscoplastic material; B. Particulate reinforced material; C. Numerical algorithms; Homogenization

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; ELASTOPLASTICITY; LAPLACE TRANSFORMS; LINEARIZATION; MATHEMATICAL MODELS;

EID: 24044492582     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2005.04.001     Document Type: Article
Times cited : (99)

References (50)
  • 1
    • 0037902143 scopus 로고    scopus 로고
    • Micromechanical analysis of the finite elastic-viscoplastic response of multiphase composites
    • J. Aboudi Micromechanical analysis of the finite elastic-viscoplastic response of multiphase composites Int. J. Sol. Struct. 40 11 2003 2793 2817
    • (2003) Int. J. Sol. Struct. , vol.40 , Issue.11 , pp. 2793-2817
    • Aboudi, J.1
  • 2
    • 0012588294 scopus 로고    scopus 로고
    • Hibbitt, Karlsson & Sorensen, Inc., Pawtucket, RI, USA
    • ®, 2001. A general-purpose finite element software, Hibbitt, Karlsson & Sorensen, Inc., Pawtucket, RI, USA.
    • (2001) A General-purpose Finite Element Software
  • 3
    • 0023360657 scopus 로고
    • A new approach to the application of Mori-Tanaka's theory in composite materials
    • Y. Benveniste A new approach to the application of Mori-Tanaka's theory in composite materials Mech. Mater. 6 2 1987 147 157
    • (1987) Mech. Mater. , vol.6 , Issue.2 , pp. 147-157
    • Benveniste, Y.1
  • 4
    • 0037828482 scopus 로고    scopus 로고
    • A "quasi-elastic" affine formulation for the homogenised behaviour of nonlinear viscoelastic polycrystals and composites
    • R. Brenner, R. Masson, O. Castelnau, and A. Zaoui A "quasi-elastic" affine formulation for the homogenised behaviour of nonlinear viscoelastic polycrystals and composites Eur. J. Mech. A: Solids 25 2002 943 960
    • (2002) Eur. J. Mech. A: Solids , vol.25 , pp. 943-960
    • Brenner, R.1    Masson, R.2    Castelnau, O.3    Zaoui, A.4
  • 5
    • 17144385819 scopus 로고    scopus 로고
    • Mechanical field fluctuations in polycrystals estimated by homogenization techniques
    • R. Brenner, O. Castelnau, and L. Badea Mechanical field fluctuations in polycrystals estimated by homogenization techniques Proc. R. Soc. Lond. A 460 2052 2004 3589 3612
    • (2004) Proc. R. Soc. Lond. A , vol.460 , Issue.2052 , pp. 3589-3612
    • Brenner, R.1    Castelnau, O.2    Badea, L.3
  • 6
    • 84987041583 scopus 로고
    • Stiffness and thermal expansion predictions for hybrid short fiber composites
    • C.W. Camacho, C.L. Tucker III, S. Yalvac, and R.L. McGee Stiffness and thermal expansion predictions for hybrid short fiber composites Polym. Compos. 11 4 1990 229 239
    • (1990) Polym. Compos. , vol.11 , Issue.4 , pp. 229-239
    • Camacho, C.W.1    Iii, L.T.C.2    Yalvac, S.3    McGee, R.L.4
  • 7
    • 4544278142 scopus 로고    scopus 로고
    • Homogenization method for strength and inelastic behavior of nanocrystalline materials
    • L. Capolungo, C. Jochum, M. Cherkaoui, and J. Qu Homogenization method for strength and inelastic behavior of nanocrystalline materials Int. J. Plasticity 21 1 2005 67 82
    • (2005) Int. J. Plasticity , vol.21 , Issue.1 , pp. 67-82
    • Capolungo, L.1    Jochum, C.2    Cherkaoui, M.3    Qu, J.4
  • 8
    • 0347512095 scopus 로고    scopus 로고
    • Sur les aproximations 'isotrope' et 'anisotrope' de l'opérateur tangent pour les méthodes tangentes incrémentale et affine
    • J.L. Chaboche, and P. Kanouté Sur les aproximations 'isotrope' et 'anisotrope' de l'opérateur tangent pour les méthodes tangentes incrémentale et affine C. R. Acad. Sci. Paris 2003 857 864
    • (2003) C. R. Acad. Sci. Paris , pp. 857-864
    • Chaboche, J.L.1    Kanouté, P.2
  • 9
    • 13844272628 scopus 로고    scopus 로고
    • On the capabilities of mean-field approaches for the description of plasticity in metal matrix composites
    • J.L. Chaboche, P. Kanouté, and A. Roos On the capabilities of mean-field approaches for the description of plasticity in metal matrix composites Int. J. Plasticity 21 2005 1409 1434
    • (2005) Int. J. Plasticity , vol.21 , pp. 1409-1434
    • Chaboche, J.L.1    Kanouté, P.2    Roos, A.3
  • 10
    • 0034744765 scopus 로고    scopus 로고
    • Towards a micromechanics based inelastic and damage modeling of composites
    • J.L. Chaboche, S. Kruch, J.F. Maire, and T. Pottier Towards a micromechanics based inelastic and damage modeling of composites Int. J. Plasticity 17 2001 411 439
    • (2001) Int. J. Plasticity , vol.17 , pp. 411-439
    • Chaboche, J.L.1    Kruch, S.2    Maire, J.F.3    Pottier, T.4
  • 11
    • 0024767466 scopus 로고
    • An experimental and numerical study of deformation in metal-ceramic composites
    • T. Christman, A. Needleman, and S. Suresh An experimental and numerical study of deformation in metal-ceramic composites Acta Metall. 37 11 1989 3029 3050
    • (1989) Acta Metall. , vol.37 , Issue.11 , pp. 3029-3050
    • Christman, T.1    Needleman, A.2    Suresh, S.3
  • 14
    • 4944245669 scopus 로고    scopus 로고
    • Effective elasto-plastic properties of inclusion-reinforced composites. Study of shape, orientation and cyclic response
    • I. Doghri, and C. Friebel Effective elasto-plastic properties of inclusion-reinforced composites. Study of shape, orientation and cyclic response Mech. Mater. 37 1 2005 45 68
    • (2005) Mech. Mater. , vol.37 , Issue.1 , pp. 45-68
    • Doghri, I.1    Friebel, C.2
  • 15
    • 0037378265 scopus 로고    scopus 로고
    • Homogenization of two-phase elasto-plastic composite materials and structures. Study of tangent operators, cyclic plasticity and numerical algorithms
    • I. Doghri, and A. Ouaar Homogenization of two-phase elasto-plastic composite materials and structures. Study of tangent operators, cyclic plasticity and numerical algorithms Int. J. Solids Struct. 40 7 2003 1681 1712
    • (2003) Int. J. Solids Struct. , vol.40 , Issue.7 , pp. 1681-1712
    • Doghri, I.1    Ouaar, A.2
  • 16
    • 18844388126 scopus 로고    scopus 로고
    • Micromechanical modeling and computation of elasto-plastic materials reinforced with distributed-orientation fibers
    • I. Doghri, and T. Tinel Micromechanical modeling and computation of elasto-plastic materials reinforced with distributed-orientation fibers Int. J. Plasticity 21 2004 1919 1940
    • (2004) Int. J. Plasticity , vol.21 , pp. 1919-1940
    • Doghri, I.1    Tinel, T.2
  • 17
    • 0000913283 scopus 로고
    • Transformation field analysis of inelastic composite materials
    • G. Dvorak Transformation field analysis of inelastic composite materials Proc. R. Soc. Lond. A 437 1992 311 327
    • (1992) Proc. R. Soc. Lond. A , vol.437 , pp. 311-327
    • Dvorak, G.1
  • 18
    • 0000929676 scopus 로고
    • The determination of the elastic field of an ellipsoidal inclusion, and related problems
    • J.D. Eshelby The determination of the elastic field of an ellipsoidal inclusion, and related problems Proc. R. Soc. Lond. A 241 1957 376 396
    • (1957) Proc. R. Soc. Lond. A , vol.241 , pp. 376-396
    • Eshelby, J.D.1
  • 19
    • 0000532157 scopus 로고
    • Insuffisance de l'extension classique du modèle autocohérent au comportement non linéaire
    • P. Gilormini Insuffisance de l'extension classique du modèle autocohérent au comportement non linéaire Comptes Rendus de l'Académie des Sciences de Paris 314 II 1995 115 122
    • (1995) Comptes Rendus de l'Académie des Sciences de Paris , vol.314 , Issue.2 , pp. 115-122
    • Gilormini, P.1
  • 20
    • 2442480662 scopus 로고    scopus 로고
    • Numerical simulation of elasto-plastic deformation of composites: Evolution of stress micro-fields and implications for homogenization models
    • C. González, J. Segurado, and J. Llorca Numerical simulation of elasto-plastic deformation of composites: evolution of stress micro-fields and implications for homogenization models J. Mech. Phys. Solids 52 7 2004 1573 1593
    • (2004) J. Mech. Phys. Solids , vol.52 , Issue.7 , pp. 1573-1593
    • González, C.1    Segurado, J.2    Llorca, J.3
  • 21
    • 11644304284 scopus 로고
    • A self-consistent mechanics of composite materials
    • R. Hill A self-consistent mechanics of composite materials J. Mech. Phys. Solids 13 4 1965 213 222
    • (1965) J. Mech. Phys. Solids , vol.13 , Issue.4 , pp. 213-222
    • Hill, R.1
  • 22
    • 44049115614 scopus 로고
    • Three-dimensional finite element analysis of plastic deformation in a whisker-reinforced metal matrix composite
    • C.L. Hom Three-dimensional finite element analysis of plastic deformation in a whisker-reinforced metal matrix composite J. Mech. Phys. Solids 40 5 1992 991 1008
    • (1992) J. Mech. Phys. Solids , vol.40 , Issue.5 , pp. 991-1008
    • Hom, C.L.1
  • 23
    • 0029709559 scopus 로고    scopus 로고
    • A method of plasticity for general aligned spheroidal void or fiber-reinforced composites
    • G. Hu A method of plasticity for general aligned spheroidal void or fiber-reinforced composites Int. J. Plasticity 12 4 1996 439 449
    • (1996) Int. J. Plasticity , vol.12 , Issue.4 , pp. 439-449
    • Hu, G.1
  • 24
    • 0000385898 scopus 로고
    • Bounds and self-consistent estimates for creep of polycrystalline metals
    • J.W. Hutchinson Bounds and self-consistent estimates for creep of polycrystalline metals Proc. R. Soc. Lond. A 348 1976 101 127
    • (1976) Proc. R. Soc. Lond. A , vol.348 , pp. 101-127
    • Hutchinson, J.W.1
  • 25
    • 0025465673 scopus 로고
    • Consistent tangent moduli for a class of viscoplasticity
    • J.W. Ju Consistent tangent moduli for a class of viscoplasticity J. Eng. Mech. - ASCE 116 8 1990 1764 1779
    • (1990) J. Eng. Mech. - ASCE , vol.116 , Issue.8 , pp. 1764-1779
    • Ju, J.W.1
  • 26
    • 50549157053 scopus 로고
    • Zur plastischen verformung des vielkristalls
    • E. Kröner Zur plastischen verformung des vielkristalls Acta Metall. 9 2 1961 155 161
    • (1961) Acta Metall. , vol.9 , Issue.2 , pp. 155-161
    • Kröner, E.1
  • 27
    • 0031188138 scopus 로고    scopus 로고
    • A secant viscosity approach to the time-dependent creep of an elasto-viscoplastic composite
    • J. Li, and G.J. Weng A secant viscosity approach to the time-dependent creep of an elasto-viscoplastic composite J. Mech. Phys. Solids 45 7 1997 1069 1083
    • (1997) J. Mech. Phys. Solids , vol.45 , Issue.7 , pp. 1069-1083
    • Li, J.1    Weng, G.J.2
  • 28
    • 0032315241 scopus 로고    scopus 로고
    • A unified approach from elasticity to viscoelasticity to viscoplasticity of particle-reinforced solids
    • J. Li, and G.J. Weng A unified approach from elasticity to viscoelasticity to viscoplasticity of particle-reinforced solids Int. J. Plasticity 14 1-3 1998 193 208
    • (1998) Int. J. Plasticity , vol.14 , Issue.1-3 , pp. 193-208
    • Li, J.1    Weng, G.J.2
  • 29
    • 0032202991 scopus 로고    scopus 로고
    • Creep of a composite with dual viscoplastic phases
    • J. Li, and G.J. Weng Creep of a composite with dual viscoplastic phases Compos. Sci. Technol. 58 11 1999 1803 1810
    • (1999) Compos. Sci. Technol. , vol.58 , Issue.11 , pp. 1803-1810
    • Li, J.1    Weng, G.J.2
  • 31
    • 0025463980 scopus 로고
    • The Baushinger effect in whisker-reinforced metal-matrix composites
    • J. Llorca, A. Needleman, and S. Suresh The Baushinger effect in whisker-reinforced metal-matrix composites Scr. Metall. Mater. 24 7 1990 1203 1208
    • (1990) Scr. Metall. Mater. , vol.24 , Issue.7 , pp. 1203-1208
    • Llorca, J.1    Needleman, A.2    Suresh, S.3
  • 32
    • 0346846644 scopus 로고    scopus 로고
    • Three-dimensional multiparticle cell simulations of deformation and damage in sphere-reinforced composites
    • J. Llorca, and J. Segurado Three-dimensional multiparticle cell simulations of deformation and damage in sphere-reinforced composites Mater. Sci. Eng. A 365 1-2 2004 267 274
    • (2004) Mater. Sci. Eng. A , vol.365 , Issue.1-2 , pp. 267-274
    • Llorca, J.1    Segurado, J.2
  • 34
    • 0033871302 scopus 로고    scopus 로고
    • An affine formulation for the prediction of the effective properties of nonlinear composites and polycrystals
    • R. Masson, M. Bornert, P. Suquet, and A. Zaoui An affine formulation for the prediction of the effective properties of nonlinear composites and polycrystals J. Mech. Phys. Solids 48 6-7 2000 1203 1227
    • (2000) J. Mech. Phys. Solids , vol.48 , Issue.6-7 , pp. 1203-1227
    • Masson, R.1    Bornert, M.2    Suquet, P.3    Zaoui, A.4
  • 35
    • 0032631588 scopus 로고    scopus 로고
    • Self-consistent estimates for the rate-dependent elasto-plastic behavior of polycrystalline materials
    • R. Masson, and A. Zaoui Self-consistent estimates for the rate-dependent elasto-plastic behavior of polycrystalline materials J. Mech. Phys. Solids 47 7 1999 1543 1568
    • (1999) J. Mech. Phys. Solids , vol.47 , Issue.7 , pp. 1543-1568
    • Masson, R.1    Zaoui, A.2
  • 36
    • 0023565321 scopus 로고
    • A self consistent approach at the large deformation polycrystal viscoplasticity
    • A. Molinari, G.R. Canova, and S. Ahzi A self consistent approach at the large deformation polycrystal viscoplasticity Acta Metall. 35 12 1987 2983 2994
    • (1987) Acta Metall. , vol.35 , Issue.12 , pp. 2983-2994
    • Molinari, A.1    Canova, G.R.2    Ahzi, S.3
  • 37
    • 0142197383 scopus 로고    scopus 로고
    • Validation of the tangent formulation for the solution of the non-linear Eshelby inclusion problem
    • A. Molinari, F. El Houdaigui, and L.S. Tóth Validation of the tangent formulation for the solution of the non-linear Eshelby inclusion problem Int. J. Plasticity 20 2 2004 291 307
    • (2004) Int. J. Plasticity , vol.20 , Issue.2 , pp. 291-307
    • Molinari, A.1    El Houdaigui, F.2    Tóth, L.S.3
  • 38
    • 0034742249 scopus 로고    scopus 로고
    • Micromechanical modeling of the elastic-viscoplastic behavior of polycrystalline steels
    • A. Paquin, S. Berbenni, V. Favier, X. Lemoine, and M. Berveiller Micromechanical modeling of the elastic-viscoplastic behavior of polycrystalline steels Int. J. Plasticity 17 9 2001 1267 1302
    • (2001) Int. J. Plasticity , vol.17 , Issue.9 , pp. 1267-1302
    • Paquin, A.1    Berbenni, S.2    Favier, V.3    Lemoine, X.4    Berveiller, M.5
  • 39
    • 0033075232 scopus 로고    scopus 로고
    • Integral formulation and self-consistent modelling of elastoviscoplastic behavior of heterogeneous materials
    • A. Paquin, H. Sabar, and M. Berveiller Integral formulation and self-consistent modelling of elastoviscoplastic behavior of heterogeneous materials Arch. Appl. Mech. 69 1 1999 14 35
    • (1999) Arch. Appl. Mech. , vol.69 , Issue.1 , pp. 14-35
    • Paquin, A.1    Sabar, H.2    Berveiller, M.3
  • 40
    • 84899551237 scopus 로고    scopus 로고
    • Micro/macro study of reinforced polymers and polymeric composites. Mathematical modeling and numerical simulation of elasto-viscoplastic behavior and thermal coupling
    • Université Catholique de Louvain, Belgium
    • Pierard, O., 2004. Micro/macro study of reinforced polymers and polymeric composites. Mathematical modeling and numerical simulation of elasto-viscoplastic behavior and thermal coupling. DEA graduation report, Université Catholique de Louvain, Belgium.
    • (2004) DEA Graduation Report
    • Pierard, O.1
  • 41
    • 2442659527 scopus 로고    scopus 로고
    • Mean-field homogenization of multi-phase thermo-elastic composites: A general framework and its validation
    • O. Pierard, C. Friebel, and I. Doghri Mean-field homogenization of multi-phase thermo-elastic composites: a general framework and its validation Compos. Sci. Technol. 64 10-11 2004 1587 1603
    • (2004) Compos. Sci. Technol. , vol.64 , Issue.10-11 , pp. 1587-1603
    • Pierard, O.1    Friebel, C.2    Doghri, I.3
  • 42
    • 0036533606 scopus 로고    scopus 로고
    • Second-order homogenization estimates for nonlinear composites incorporating field fluctuations: I. Theory
    • P. Ponte Castañeda Second-order homogenization estimates for nonlinear composites incorporating field fluctuations: I. Theory J. Mech. Phys. Solids 50 4 2002 737 757
    • (2002) J. Mech. Phys. Solids , vol.50 , Issue.4 , pp. 737-757
    • Ponte Castañeda, P.1
  • 43
    • 85024645400 scopus 로고
    • A theory of plasticity for porous materials and particle-reinforced composites
    • Y.P. Qiu, and G.J. Weng A theory of plasticity for porous materials and particle-reinforced composites J. Appl. Mech. 59 1992 261 266
    • (1992) J. Appl. Mech. , vol.59 , pp. 261-266
    • Qiu, Y.P.1    Weng, G.J.2
  • 44
    • 0027245115 scopus 로고
    • Plastic potential and yield function of porous materials with aligned and randomly oriented spheroidal voids
    • Y.P. Qiu, and G.J. Weng Plastic potential and yield function of porous materials with aligned and randomly oriented spheroidal voids Int. J. Plasticity 9 1993 271 290
    • (1993) Int. J. Plasticity , vol.9 , pp. 271-290
    • Qiu, Y.P.1    Weng, G.J.2
  • 46
    • 0037172809 scopus 로고    scopus 로고
    • A new class of micro-macro models for elastic-viscoplastic heterogeneous materials
    • H. Sabar, M. Berveiller, V. Favier, and S. Berbenni A new class of micro-macro models for elastic-viscoplastic heterogeneous materials Int. J. Sol. Struct. 39 12 2002 3257 3276
    • (2002) Int. J. Sol. Struct. , vol.39 , Issue.12 , pp. 3257-3276
    • Sabar, H.1    Berveiller, M.2    Favier, V.3    Berbenni, S.4
  • 48
    • 0019548094 scopus 로고
    • Self-consistent determination of time-dependent behavior of metals
    • G.J. Weng Self-consistent determination of time-dependent behavior of metals J. Appl. Mech. 48 1971 41 46
    • (1971) J. Appl. Mech. , vol.48 , pp. 41-46
    • Weng, G.J.1
  • 49
    • 0024645944 scopus 로고
    • The determination of the elastic field of an ellipsoidal inclusion in a transversely isotropic medium and its relevance to composite materials
    • P.J. Withers The determination of the elastic field of an ellipsoidal inclusion in a transversely isotropic medium and its relevance to composite materials Philos. Mag. A 59 4 1989 759 781
    • (1989) Philos. Mag. A , vol.59 , Issue.4 , pp. 759-781
    • Withers, P.J.1
  • 50
    • 0029702352 scopus 로고    scopus 로고
    • Elastic-plastic effects during cyclic loading as predicted by the Taylor-Lin model of polycrystal elasto-viscoplasticity
    • N. Zouhal, A. Molinari, and L.S. Tóth Elastic-plastic effects during cyclic loading as predicted by the Taylor-Lin model of polycrystal elasto-viscoplasticity Int. J. Plasticity 12 3 1996 343 360
    • (1996) Int. J. Plasticity , vol.12 , Issue.3 , pp. 343-360
    • Zouhal, N.1    Molinari, A.2    Tóth, L.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.