메뉴 건너뛰기




Volumn 331, Issue 12, 2003, Pages 857-864

On the 'isotropic' and 'anisotropic' approximations of the tangent operator in the incremental tangent and affine methods;Sur les approximations « isotrope » et « anisotrope » de l'opérateur tangent pour les méthodes tangentes incrémentale et affine

Author keywords

Affine method; Computation solid mechanics; Elastoplastic micromechanical analysis; Incremental tangent method; TFA

Indexed keywords

ELASTOPLASTICITY; SOLID;

EID: 0347512095     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crme.2003.08.002     Document Type: Article
Times cited : (25)

References (23)
  • 1
    • 0000913283 scopus 로고
    • Transformation field analysis of inelastic composite materials
    • G. Dvorak, Transformation field analysis of inelastic composite materials, Proc. Roy. Soc. London Ser. A 437 (1992) 311-327.
    • (1992) Proc. Roy. Soc. London Ser. A , vol.437 , pp. 311-327
    • Dvorak, G.1
  • 2
    • 0028443771 scopus 로고
    • Implementation of the transformation field analysis for inelastic composite materials
    • G. Dvorak, Y. Bahei-el-Din, A. Wafa, Implementation of the transformation field analysis for inelastic composite materials, Comput. Mech. 14 (1994) 201-228.
    • (1994) Comput. Mech. , vol.14 , pp. 201-228
    • Dvorak, G.1    Bahei-El-Din, Y.2    Wafa, A.3
  • 3
    • 0034744765 scopus 로고    scopus 로고
    • Towards a micromechanics based inelastic and damage modeling of composites
    • J.L. Chaboche, S. Kruch, J.J. Maire, 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.J.3    Pottier, T.4
  • 4
    • 0000658939 scopus 로고
    • On transformation strains and uniform fields in multiphase elastic media
    • G. Dvorak, Y. Benveniste, On transformation strains and uniform fields in multiphase elastic media, Proc. Roy. Soc. London Ser. A 437 (1992) 291-310.
    • (1992) Proc. Roy. Soc. London Ser. A , vol.437 , pp. 291-310
    • Dvorak, G.1    Benveniste, Y.2
  • 5
    • 49749215641 scopus 로고
    • Continuum micro-mechanics of elastoplastic polycrystals
    • R. Hill, Continuum micro-mechanics of elastoplastic polycrystals, J. Mech. Phys. Solids 13 (1965) 89-101.
    • (1965) J. Mech. Phys. Solids , vol.13 , pp. 89-101
    • Hill, R.1
  • 6
    • 0032631588 scopus 로고    scopus 로고
    • Self-consistent estimates for the rate dependent elastoplastic behaviour of polycrystalline materials
    • R. Masson, A. Zaoui, Self-consistent estimates for the rate dependent elastoplastic behaviour of polycrystalline materials, J. Mech. Phys. Solids 47 (1999) 1543-1568.
    • (1999) J. Mech. Phys. Solids , vol.47 , pp. 1543-1568
    • Masson, R.1    Zaoui, A.2
  • 7
    • 0033871302 scopus 로고    scopus 로고
    • An affine formulation for the prediction od the effective properties of nonlinear composites and polycrystals
    • R. Masson, M. Bornert, P. Suquet, A. Zaoui, An affine formulation for the prediction od the effective properties of nonlinear composites and polycrystals, J. Mech. Phys. Solids 48 (2000) 1203-1227.
    • (2000) J. Mech. Phys. Solids , vol.48 , pp. 1203-1227
    • Masson, R.1    Bornert, M.2    Suquet, P.3    Zaoui, A.4
  • 8
    • 0001582366 scopus 로고    scopus 로고
    • Effective properties of nonlinear composites
    • P. Suquet (Ed.), in: CISM Lectures Notes, Springer-Verlag
    • P. Suquet, Effective properties of nonlinear composites, in: P. Suquet (Ed.), Continuum Micromechanics, in: CISM Lectures Notes, Vol. 377, Springer-Verlag, 1997, pp. 197-264.
    • (1997) Continuum Micromechanics , vol.377 , pp. 197-264
    • Suquet, P.1
  • 9
    • 0041000062 scopus 로고
    • On the strength of composite materials: Variational bounds and numerical aspects
    • M.P. Bendsoe, C. Mota-Soares (Eds.), Kluwer Academic
    • J. Michel, P. Suquet, On the strength of composite materials: variational bounds and numerical aspects, in: M.P. Bendsoe, C. Mota-Soares (Eds.), Topology Design of Structures, Kluwer Academic, 1993, pp. 355-374.
    • (1993) Topology Design of Structures , pp. 355-374
    • Michel, J.1    Suquet, P.2
  • 10
    • 0038872073 scopus 로고    scopus 로고
    • Castañeda, A second-order theory for nonlinear composite materials
    • P. Ponte Castañeda, A second-order theory for nonlinear composite materials, C. R. Acad. Sci. Paris, Ser. IIb 322 (1996) 3-10.
    • (1996) C. R. Acad. Sci. Paris, Ser. IIb , vol.322 , pp. 3-10
    • Ponte, P.1
  • 11
    • 0347053213 scopus 로고    scopus 로고
    • Homogénéisation des milieux aléatoires: Bornes et estimations
    • M. Bornert, T. Bretheau, P. Gilormini (Eds.), Hermes Science
    • M. Bornert, Homogénéisation des milieux aléatoires: bornes et estimations, in: M. Bornert, T. Bretheau, P. Gilormini (Eds.), Homogénéisation en Mécanique des Matériaux, Hermes Science, 2001, pp. 133-221.
    • (2001) Homogénéisation en Mécanique des Matériaux , pp. 133-221
    • Bornert, M.1
  • 12
    • 0007544668 scopus 로고
    • A variational approach to the theory of the elastic behaviour of multiphase materials
    • Z. Hashin, S. Shtrikman, A variational approach to the theory of the elastic behaviour of multiphase materials, J. Mech. Phys. Solids 11 (1963) 127-140.
    • (1963) J. Mech. Phys. Solids , vol.11 , pp. 127-140
    • Hashin, Z.1    Shtrikman, S.2
  • 13
    • 0015625688 scopus 로고
    • Average stress in matrix and average elastic energy of materials with misfitting inclusions
    • T. Mori, K. Tanaka, Average stress in matrix and average elastic energy of materials with misfitting inclusions, Acta Metall. Mater. 21 (1973) 597-629.
    • (1973) Acta Metall. Mater. , vol.21 , pp. 597-629
    • Mori, T.1    Tanaka, K.2
  • 14
    • 0028378583 scopus 로고
    • A self-consistent viscoplastic model: Prediction of rolling textures of anisotropic polycrystals
    • R.A. Lebensohn, C.N. Torné, A self-consistent viscoplastic model: Prediction of rolling textures of anisotropic polycrystals, Mater. Sci. Eng. A 175 (1994) 71.
    • (1994) Mater. Sci. Eng. A , vol.175 , pp. 71
    • Lebensohn, R.A.1    Torné, C.N.2
  • 15
    • 33746425275 scopus 로고    scopus 로고
    • Castañeda, Second-order estimates of the self-consistent type for viscoplastic polycrystals
    • M. Bornert, P. Ponte Castañeda, Second-order estimates of the self-consistent type for viscoplastic polycrystals, Proc. Roy. Soc. London Ser. A 454 (1998) 3035-3045.
    • (1998) Proc. Roy. Soc. London Ser. A , vol.454 , pp. 3035-3045
    • Bornert, M.1    Ponte, P.2
  • 16
    • 0018028140 scopus 로고
    • An extension of the self-consistent scheme to plastically-flowing polycrystals
    • M. Berveiller, A. Zaoui, An extension of the self-consistent scheme to plastically-flowing polycrystals, J. Mech. Phys. Solids 26 (1979) 325-344.
    • (1979) J. Mech. Phys. Solids , vol.26 , pp. 325-344
    • Berveiller, M.1    Zaoui, A.2
  • 17
    • 0000532157 scopus 로고
    • Insuffisance de l'extension classique du modèle auto-cohérent au comportement non linéaire
    • P. Gilormini, Insuffisance de l'extension classique du modèle auto-cohérent au comportement non linéaire, C. R. Acad. Sci. Paris, Ser. IIb 320 (1995) 115-122.
    • (1995) C. R. Acad. Sci. Paris, Ser. IIb , vol.320 , pp. 115-122
    • Gilormini, P.1
  • 18
    • 0034785227 scopus 로고    scopus 로고
    • A modified affine theory for the overall properties of nonlinear composites
    • R. Brenner, O. Castelnau, P. Gilormini, A modified affine theory for the overall properties of nonlinear composites, C. R. Acad. Sci. Paris, Ser. IIb 329 (2001) 649-654.
    • (2001) C. R. Acad. Sci. Paris, Ser. IIb , vol.329 , pp. 649-654
    • Brenner, R.1    Castelnau, O.2    Gilormini, P.3
  • 19
    • 0343517490 scopus 로고    scopus 로고
    • A self-consistent approach to the elasto-plastic behaviour of two-phase materials including damage
    • J. Llorca, C. González, A self-consistent approach to the elasto-plastic behaviour of two-phase materials including damage, J. Mech. Phys. Solids 48 (2000) 675-692.
    • (2000) J. Mech. Phys. Solids , vol.48 , pp. 675-692
    • Llorca, J.1    González, C.2
  • 21
    • 0346422781 scopus 로고    scopus 로고
    • Personal communication
    • M. Bornert, Personal communication, 2003.
    • (2003)
    • Bornert, M.1
  • 22
    • 0023565321 scopus 로고
    • A self consistent approach of the large deformation polycrystal viscoplasticity
    • A. Molinari, G.R. Canova, S. Ahzi, A self consistent approach of 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
  • 23
    • 0002216517 scopus 로고    scopus 로고
    • A critical evaluation of various nonlinear extensions of the self-consistent model
    • A. Pineau, A. Zaoui (Eds.), Kluwer Academic
    • P. Gilormini, A critical evaluation of various nonlinear extensions of the self-consistent model, in: A. Pineau, A. Zaoui (Eds.), Micromechanics of Plasticity and Damage of Multiphase Materials, Kluwer Academic, 1996, pp. 67-74.
    • (1996) Micromechanics of Plasticity and Damage of Multiphase Materials , pp. 67-74
    • Gilormini, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.