메뉴 건너뛰기




Volumn 55, Issue 11, 2007, Pages 2265-2299

Heterogeneous crystal and poly-crystal plasticity modeling from a transformation field analysis within a regularized Schmid law

Author keywords

Crystal plasticity; Elastic plastic material; Homogenization; Microstructures; Poly crystalline material

Indexed keywords

CRYSTAL STRUCTURE; ELASTOPLASTICITY; HOMOGENIZATION METHOD; MICROSTRUCTURE; PLASTICITY; STIFFNESS;

EID: 35248861233     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2007.04.012     Document Type: Article
Times cited : (38)

References (54)
  • 1
    • 0033737940 scopus 로고    scopus 로고
    • Lattice incompatibility and a gradient theory of crystal plasticity
    • Acharya A., and Bassani J.L. Lattice incompatibility and a gradient theory of crystal plasticity. J. Mech. Phys. Solids 48 (2000) 1565-1595
    • (2000) J. Mech. Phys. Solids , vol.48 , pp. 1565-1595
    • Acharya, A.1    Bassani, J.L.2
  • 2
    • 0015418660 scopus 로고
    • The influence of texture on the yield loci of copper and aluminium
    • Althoff J., and Wincierz P. The influence of texture on the yield loci of copper and aluminium. Z. Metallkd. 63 (1972) 623-633
    • (1972) Z. Metallkd. , vol.63 , pp. 623-633
    • Althoff, J.1    Wincierz, P.2
  • 3
    • 0042112715 scopus 로고
    • A regular form of the Schmid law, application to the ambiguity problem
    • Arminjon M. A regular form of the Schmid law, application to the ambiguity problem. Texture Microstruct. 14-18 (1991) 1121-1128
    • (1991) Texture Microstruct. , vol.14-18 , pp. 1121-1128
    • Arminjon, M.1
  • 4
    • 0022083554 scopus 로고
    • Texture development and strain hardening in rate dependent poly-crystals
    • Asaro R.J., and Needleman A. Texture development and strain hardening in rate dependent poly-crystals. Acta Metallurgica 33 6 (1985) 923-940
    • (1985) Acta Metallurgica , vol.33 , Issue.6 , pp. 923-940
    • Asaro, R.J.1    Needleman, A.2
  • 5
    • 0000689652 scopus 로고
    • Latent hardening in single crystals. I. Theory and experiments
    • Bassani J.L., and Wu T.Y. Latent hardening in single crystals. I. Theory and experiments. Proc. R. Soc. London A 435 (1991) 21-41
    • (1991) Proc. R. Soc. London A , vol.435 , pp. 21-41
    • Bassani, J.L.1    Wu, T.Y.2
  • 6
    • 35248827579 scopus 로고    scopus 로고
    • Berbenni, S., Franciosi, P., 2004. Yield surfaces using an extension of the "Regularized" Schmid Law to poly-crystalline materials. In: Gutkowski, W., Kowalewski, T.A. (Eds.), Proceedings of the 21th International Congress of Theoretical and Applied Mechanics-IUTAM Symposium, 15-21 August 2004, Warsaw, Poland.
  • 7
    • 1942530625 scopus 로고    scopus 로고
    • Micromechanical modeling of the elastic-viscoplastic behavior of steels having different microstructures
    • Berbenni S., Favier V., Lemoine X., and Berveiller M. Micromechanical modeling of the elastic-viscoplastic behavior of steels having different microstructures. Mater. Sci. Eng. A 372 (2004) 128-136
    • (2004) Mater. Sci. Eng. A , vol.372 , pp. 128-136
    • Berbenni, S.1    Favier, V.2    Lemoine, X.3    Berveiller, M.4
  • 8
    • 7544227110 scopus 로고    scopus 로고
    • Bounds on elastic constants for random polycrystals of laminates
    • Berryman J.G. Bounds on elastic constants for random polycrystals of laminates. J. Appl. Phys. 96 8 (2004) 4281-4287
    • (2004) J. Appl. Phys. , vol.96 , Issue.8 , pp. 4281-4287
    • Berryman, J.G.1
  • 9
    • 0027152972 scopus 로고
    • Non local versus local elastoplastic behavior of heterogeneous materials
    • Berveiller M., Muller D., and Kratochvil J. Non local versus local elastoplastic behavior of heterogeneous materials. Int. J. Plast. 9 5 (1993) 633-652
    • (1993) Int. J. Plast. , vol.9 , Issue.5 , pp. 633-652
    • Berveiller, M.1    Muller, D.2    Kratochvil, J.3
  • 10
    • 0000834966 scopus 로고
    • A theory of the plastic distortion of a poly-crystalline aggregate under combined stresses
    • Bishop J.F.W., and Hill R. A theory of the plastic distortion of a poly-crystalline aggregate under combined stresses. Philos. Mag. 42 (1951) 414-427
    • (1951) Philos. Mag. , vol.42 , pp. 414-427
    • Bishop, J.F.W.1    Hill, R.2
  • 12
    • 0034744765 scopus 로고    scopus 로고
    • Towards a micromechanics based inelastic and damage modeling of composites
    • Chaboche J.-L., Kruch S., Maire J.-F., and Pottier T. Towards a micromechanics based inelastic and damage modeling of composites. Int. J. Plast. 17 (2001) 411-439
    • (2001) Int. J. Plast. , vol.17 , pp. 411-439
    • Chaboche, J.-L.1    Kruch, S.2    Maire, J.-F.3    Pottier, T.4
  • 13
    • 0029697656 scopus 로고    scopus 로고
    • A method of generating analytical yield surfaces of crystalline materials
    • Darrieulat M., and Piot D. A method of generating analytical yield surfaces of crystalline materials. Int. J. Plast. 12 5 (1996) 575-610
    • (1996) Int. J. Plast. , vol.12 , Issue.5 , pp. 575-610
    • Darrieulat, M.1    Piot, D.2
  • 14
    • 0000913283 scopus 로고
    • Transformation field analysis in inelastic composite materials
    • Dvorak G.J. Transformation field analysis in inelastic composite materials. Proc. R. Soc. London A 437 (1992) 311-327
    • (1992) Proc. R. Soc. London A , vol.437 , pp. 311-327
    • Dvorak, G.J.1
  • 15
    • 0002807066 scopus 로고    scopus 로고
    • Inelastic composite materials: transformation field analysis and experiments
    • Suquet P. (Ed), Springer, Berlin
    • Dvorak G.J., and Bahei-El-Din A. Inelastic composite materials: transformation field analysis and experiments. In: Suquet P. (Ed). Continuum Micromechanics, CISM Course and Lecture 377 (1997), Springer, Berlin 1-59
    • (1997) Continuum Micromechanics, CISM Course and Lecture 377 , pp. 1-59
    • Dvorak, G.J.1    Bahei-El-Din, A.2
  • 16
    • 0000913283 scopus 로고
    • On transformation strains and uniform fields in multiphase elastic media
    • Dvorak G.J., and Benveniste Y. On transformation strains and uniform fields in multiphase elastic media. Proc. R. Soc. London A 437 (1992) 291-310
    • (1992) Proc. R. Soc. London A , vol.437 , pp. 291-310
    • Dvorak, G.J.1    Benveniste, Y.2
  • 17
    • 0000929676 scopus 로고
    • The determination of the elastic field of an ellipsoidal inclusions and related problems
    • Eshelby J.D. The determination of the elastic field of an ellipsoidal inclusions and related problems. Proc. R. Soc. London A 421 (1957) 376-396
    • (1957) Proc. R. Soc. London A , vol.421 , pp. 376-396
    • Eshelby, J.D.1
  • 18
    • 0031118975 scopus 로고    scopus 로고
    • Hardening anisotropy of γ/γ′ superalloy single crystals
    • Estevez R., Hoinard G., and Franciosi P. Hardening anisotropy of γ/γ′ superalloy single crystals. Acta Mater. 45 (1997) 1567-1584
    • (1997) Acta Mater. , vol.45 , pp. 1567-1584
    • Estevez, R.1    Hoinard, G.2    Franciosi, P.3
  • 19
    • 0032675543 scopus 로고    scopus 로고
    • Finite deformation plasticity for composite structures: computational models and adaptative strategies
    • Fish J., and Shek K. Finite deformation plasticity for composite structures: computational models and adaptative strategies. Comput. Method Appl. Mech. Eng. 172 (1999) 145-174
    • (1999) Comput. Method Appl. Mech. Eng. , vol.172 , pp. 145-174
    • Fish, J.1    Shek, K.2
  • 21
    • 0022862030 scopus 로고
    • Homogenization and optimal bounds in linear elasticity
    • Francfort G., and Murat F. Homogenization and optimal bounds in linear elasticity. Arch. Ration. Mech. Anal. 94 (1986) 307-334
    • (1986) Arch. Ration. Mech. Anal. , vol.94 , pp. 307-334
    • Francfort, G.1    Murat, F.2
  • 22
    • 11744319491 scopus 로고
    • The concepts of latent hardening and strain hardening in metallic single crystals
    • Franciosi P. The concepts of latent hardening and strain hardening in metallic single crystals. Acta Metallurgica 33 9 (1985) 1601-1612
    • (1985) Acta Metallurgica , vol.33 , Issue.9 , pp. 1601-1612
    • Franciosi, P.1
  • 23
    • 0040306607 scopus 로고
    • On flow and work hardening expression correlations in metallic single crystal plasticity
    • Franciosi P. On flow and work hardening expression correlations in metallic single crystal plasticity. Rev. Phys. Appl. 23 (1988) 383-394
    • (1988) Rev. Phys. Appl. , vol.23 , pp. 383-394
    • Franciosi, P.1
  • 24
    • 0028746199 scopus 로고
    • Introduction of equivalent deformation mechanisms for the description of FCC crystals post-stage II plasticity kinematics
    • Franciosi P. Introduction of equivalent deformation mechanisms for the description of FCC crystals post-stage II plasticity kinematics. Key Eng. Mater. 97 9 (1994) 323-328
    • (1994) Key Eng. Mater. , vol.97 , Issue.9 , pp. 323-328
    • Franciosi, P.1
  • 25
    • 35248874728 scopus 로고    scopus 로고
    • Franciosi, P., Berbenni, S., 2005. regularized Schmid law in metal plasticity: from single to poly-crystals. In: Khan, A.S. (Ed.), Proceedings of the 11th International Symposium on Plasticity and its Current Applications, 3-9 January 2005, Hawai, USA.
  • 26
    • 35248890349 scopus 로고    scopus 로고
    • Franciosi, P., Berbenni, S., 2006. About the use of a Regularized Schmid flow criterion in polycrystal plasticity TFA-modeling. In: Khan, A.S. (Ed.), Proceedings of the 12th International Symposium on Plasticity and its Current Applications, July 2006, Halifax, Canada.
  • 27
    • 0346670147 scopus 로고    scopus 로고
    • Using the Radon transform method to solve inclusion problems in elasticity
    • Franciosi P., and Lormand G. Using the Radon transform method to solve inclusion problems in elasticity. Int. J. Solid Struct. 41 3/4 (2004) 585-606
    • (2004) Int. J. Solid Struct. , vol.41 , Issue.3-4 , pp. 585-606
    • Franciosi, P.1    Lormand, G.2
  • 28
    • 0025867753 scopus 로고
    • Crystal hardening and the issue of uniqueness
    • Franciosi P., and Zaoui A. Crystal hardening and the issue of uniqueness. Int. J. Plast. 7 (1991) 295-311
    • (1991) Int. J. Plast. , vol.7 , pp. 295-311
    • Franciosi, P.1    Zaoui, A.2
  • 29
    • 0013451974 scopus 로고
    • Plasticity of crystals with interacting slip systems
    • Gambin W. Plasticity of crystals with interacting slip systems. Eng. Trans. 39 3/4 (1991) 303-324
    • (1991) Eng. Trans. , vol.39 , Issue.3-4 , pp. 303-324
    • Gambin, W.1
  • 30
    • 0026436394 scopus 로고
    • Refined analysis of elastic plastic crystals
    • Gambin W. Refined analysis of elastic plastic crystals. Int. J. Solid Struct. 29 (1992) 2013-2021
    • (1992) Int. J. Solid Struct. , vol.29 , pp. 2013-2021
    • Gambin, W.1
  • 31
    • 0015682699 scopus 로고
    • On the mechanics of crystalline solids
    • Havner K.S. On the mechanics of crystalline solids. J. Mech. Phys. Solids 21 (1973) 383-394
    • (1973) J. Mech. Phys. Solids , vol.21 , pp. 383-394
    • Havner, K.S.1
  • 32
    • 49749215641 scopus 로고
    • Continuum micro-mechanics of elastoplastic poly-crystals
    • Hill R. Continuum micro-mechanics of elastoplastic poly-crystals. J. Mech. Phys. Solids 13 (1965) 89-101
    • (1965) J. Mech. Phys. Solids , vol.13 , pp. 89-101
    • Hill, R.1
  • 33
    • 0015490588 scopus 로고
    • Constitutive analysis of elastic-plastic crystals at arbitrary strains
    • Hill R., and Rice J.R. Constitutive analysis of elastic-plastic crystals at arbitrary strains. J. Mech. Phys. Solids 20 6 (1972) 401-413
    • (1972) J. Mech. Phys. Solids , vol.20 , Issue.6 , pp. 401-413
    • Hill, R.1    Rice, J.R.2
  • 34
    • 3743100474 scopus 로고    scopus 로고
    • Deformation textures of fcc materials predicted with a regular form of the Schmid law
    • Imbault D., and Arminjon M. Deformation textures of fcc materials predicted with a regular form of the Schmid law. Mater. Sci. Forum 273-275 (1998) 371-376
    • (1998) Mater. Sci. Forum , vol.273-275 , pp. 371-376
    • Imbault, D.1    Arminjon, M.2
  • 35
    • 4243222434 scopus 로고
    • A forest model of latent hardening and its application to poly-crystal deformation
    • Kocks U.F., Franciosi P., and Kawai M. A forest model of latent hardening and its application to poly-crystal deformation. Texture Microstruct. 14-18 (1991) 1103-1114
    • (1991) Texture Microstruct. , vol.14-18 , pp. 1103-1114
    • Kocks, U.F.1    Franciosi, P.2    Kawai, M.3
  • 36
    • 0141635187 scopus 로고    scopus 로고
    • Model of plastic anisotropy evolution with texture dependent yield surface
    • Kowalczyk K., and Gambin W. Model of plastic anisotropy evolution with texture dependent yield surface. Int. J. Plast. 20 (2004) 19-54
    • (2004) Int. J. Plast. , vol.20 , pp. 19-54
    • Kowalczyk, K.1    Gambin, W.2
  • 37
    • 50549157053 scopus 로고
    • Zur Plastischen Verformung des Vielkristalls
    • Kröner E. Zur Plastischen Verformung des Vielkristalls. Acta Metallurgica 9 (1961) 155-161
    • (1961) Acta Metallurgica , vol.9 , pp. 155-161
    • Kröner, E.1
  • 38
    • 0036694729 scopus 로고    scopus 로고
    • Why do dislocations assemble into interfaces in epitaxy as well as in crystal plasticity? To minimize free energy
    • Kulhmann-Wilsdorf D. Why do dislocations assemble into interfaces in epitaxy as well as in crystal plasticity? To minimize free energy. Metall. Mater. Trans. A 33 8/1 (2002) 2519-2539
    • (2002) Metall. Mater. Trans. A , vol.33 , Issue.8-1 , pp. 2519-2539
    • Kulhmann-Wilsdorf, D.1
  • 39
    • 0003259901 scopus 로고
    • Thermal expansion coefficients for heterogeneous materials
    • (English translation: Mechanics of Solids 11, 58-61)
    • Levin V.M. Thermal expansion coefficients for heterogeneous materials. Mekhanika Tverdogo Tela 2 (1967) 88-94 (English translation: Mechanics of Solids 11, 58-61)
    • (1967) Mekhanika Tverdogo Tela , vol.2 , pp. 88-94
    • Levin, V.M.1
  • 40
    • 0031188138 scopus 로고    scopus 로고
    • A secant-viscosity approach to the time-dependent creep of an elastic-viscoplastic composite
    • Li J., and Weng G.J. A secant-viscosity approach to the time-dependent creep of an elastic-viscoplastic composite. J. Mech. Phys. Solids 45 (1997) 1069-1083
    • (1997) J. Mech. Phys. Solids , vol.45 , pp. 1069-1083
    • Li, J.1    Weng, G.J.2
  • 41
    • 0030353296 scopus 로고    scopus 로고
    • Approximation of laminated microstructures for a rotationally invariant double well energy density
    • Luskin M. Approximation of laminated microstructures for a rotationally invariant double well energy density. Numer. Math. 75 (1996) 205-221
    • (1996) Numer. Math. , vol.75 , pp. 205-221
    • Luskin, M.1
  • 42
    • 0141484540 scopus 로고    scopus 로고
    • The role of collinear interaction in dislocation-induced hardening
    • Madec R., Devincre B., Kubin L., Hoc T., and Rodney D. The role of collinear interaction in dislocation-induced hardening. Science 301 (2003) 1879-1882
    • (2003) Science , vol.301 , pp. 1879-1882
    • Madec, R.1    Devincre, B.2    Kubin, L.3    Hoc, T.4    Rodney, D.5
  • 43
    • 0033871302 scopus 로고    scopus 로고
    • An affine formulation for the prediction of the effective properties of non linear composites and poly-crystals
    • Masson R., Bornert M., Suquet P., and Zaoui A. An affine formulation for the prediction of the effective properties of non linear composites and poly-crystals. 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
  • 44
    • 0030836965 scopus 로고    scopus 로고
    • Temperature and orientation dependent plasticity features of Cu and Al single crystals under axial compression
    • Mecif A., Bacroix B., and Franciosi P. Temperature and orientation dependent plasticity features of Cu and Al single crystals under axial compression. Acta Materialia 45 1 (1997) 371-381
    • (1997) Acta Materialia , vol.45 , Issue.1 , pp. 371-381
    • Mecif, A.1    Bacroix, B.2    Franciosi, P.3
  • 45
    • 0242369106 scopus 로고    scopus 로고
    • Non uniform transformation field analysis
    • Michel J.C., and Suquet P. Non uniform transformation field analysis. Int. J. Solid Struct. 40 (2003) 6937-6955
    • (2003) Int. J. Solid Struct. , vol.40 , pp. 6937-6955
    • Michel, J.C.1    Suquet, P.2
  • 46
    • 8644229215 scopus 로고    scopus 로고
    • Computational analysis of nonlinear composite structures using the non uniform transformation field analysis
    • Michel J.C., and Suquet P. Computational analysis of nonlinear composite structures using the non uniform transformation field analysis. Comput. Method Appl. Mech. Eng. 193 (2004) 5477-5502
    • (2004) Comput. Method Appl. Mech. Eng. , vol.193 , pp. 5477-5502
    • Michel, J.C.1    Suquet, P.2
  • 47
    • 0005945571 scopus 로고
    • Classical Hall effect in two-dimensional composites: a characterization of the set of realizable effective conductivity tensors
    • Milton G.W. Classical Hall effect in two-dimensional composites: a characterization of the set of realizable effective conductivity tensors. Phys. Rev. B 38 16 (1988) 11296-11303
    • (1988) Phys. Rev. B , vol.38 , Issue.16 , pp. 11296-11303
    • Milton, G.W.1
  • 48
    • 0033076749 scopus 로고    scopus 로고
    • Non convex energy minimization and dislocation structures in ductile single crystals
    • Ortiz M., and Repetto E.A. Non convex energy minimization and dislocation structures in ductile single crystals. J. Mech. Phys. Solids 47 (1999) 397-462
    • (1999) J. Mech. Phys. Solids , vol.47 , pp. 397-462
    • Ortiz, M.1    Repetto, E.A.2
  • 51
    • 0029541225 scopus 로고
    • The effect of spatial distribution on the effective behavior of composite materials and cracked media
    • Ponte-Castaneda P., and Willis J.R. The effect of spatial distribution on the effective behavior of composite materials and cracked media. J. Mech. Phys. Solids 43 (1995) 1919-1951
    • (1995) J. Mech. Phys. Solids , vol.43 , pp. 1919-1951
    • Ponte-Castaneda, P.1    Willis, J.R.2
  • 52
    • 0037172809 scopus 로고    scopus 로고
    • A new class of micro-macro models for elastic-viscoplastic heterogeneous materials
    • Sabar H., Berveiller M., Favier V., and Berbenni S. A new class of micro-macro models for elastic-viscoplastic heterogeneous materials. Int. J. Solid Struct. 39 12 (2002) 3257-3276
    • (2002) Int. J. Solid Struct. , vol.39 , Issue.12 , pp. 3257-3276
    • Sabar, H.1    Berveiller, M.2    Favier, V.3    Berbenni, S.4
  • 53
    • 0036647575 scopus 로고    scopus 로고
    • Mesoscale modeling of microstructure and texture evolution during deformation processing of metals
    • Sarma G.B., Radhakrishnan B., and Dawson P.R. Mesoscale modeling of microstructure and texture evolution during deformation processing of metals. Adv. Eng. Mater. 4 7 (2002) 509-514
    • (2002) Adv. Eng. Mater. , vol.4 , Issue.7 , pp. 509-514
    • Sarma, G.B.1    Radhakrishnan, B.2    Dawson, P.R.3
  • 54
    • 27844446433 scopus 로고    scopus 로고
    • Effective behavior of non linear composites
    • Suquet P. (Ed), Springer, Berlin
    • Suquet P. Effective behavior of non linear composites. In: Suquet P. (Ed). Continuum Micromechanics, CISM course and lecture 377 (1997), Springer, Berlin 220-259
    • (1997) Continuum Micromechanics, CISM course and lecture 377 , pp. 220-259
    • Suquet, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.