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Volumn 25, Issue 5, 2009, Pages 752-767

A hierarchical model for rate-dependent polycrystals

Author keywords

Crystal plasticity; Hierarchical model; Numerical algorithms; Texture modeling

Indexed keywords

AGGREGATES; BINARY TREES; DEFORMATION; HIERARCHICAL SYSTEMS; LARGE SCALE SYSTEMS; MEAN FIELD THEORY; PLASTICITY; POLYCRYSTALS; TEXTURES;

EID: 61849166128     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2008.06.011     Document Type: Article
Times cited : (26)

References (58)
  • 1
    • 0022083554 scopus 로고
    • Overview 42. Texture development and strain-hardening in rate dependent polycrystals
    • Asaro R.J., and Needleman A. Overview 42. Texture development and strain-hardening in rate dependent polycrystals. Acta Metall. 33 6 (1985) 923-953
    • (1985) Acta Metall. , vol.33 , Issue.6 , pp. 923-953
    • Asaro, R.J.1    Needleman, A.2
  • 2
    • 5744227425 scopus 로고    scopus 로고
    • Deformation microstructures and textures of some cold rolled Mg alloys
    • Barnett M.R., Nave M.D., and Bettles C.J. Deformation microstructures and textures of some cold rolled Mg alloys. Mater. Sci. Eng. A 386 1-2 (2004) 205-211
    • (2004) Mater. Sci. Eng. A , vol.386 , Issue.1-2 , pp. 205-211
    • Barnett, M.R.1    Nave, M.D.2    Bettles, C.J.3
  • 3
    • 0027590747 scopus 로고
    • Dislocation cell structures in copper in torsion and tension
    • Bassim M.N., and Liu C.D. Dislocation cell structures in copper in torsion and tension. Mat. Sci. Eng. A A164 (1993) 170-174
    • (1993) Mat. Sci. Eng. A , vol.A164 , pp. 170-174
    • Bassim, M.N.1    Liu, C.D.2
  • 4
    • 38949164022 scopus 로고    scopus 로고
    • A dislocation-based constitutive law for pure Zr including temperature effects
    • Beyerlein I.J., and Tomé C.N. A dislocation-based constitutive law for pure Zr including temperature effects. Int. J. Plast. 24 5 (2008) 727-745
    • (2008) Int. J. Plast. , vol.24 , Issue.5 , pp. 727-745
    • Beyerlein, I.J.1    Tomé, C.N.2
  • 5
    • 5144220592 scopus 로고    scopus 로고
    • Investigating the limits of polycrystal plasticity modeling
    • Buchheit T.E., Wellman G.W., and Battaile C.B. Investigating the limits of polycrystal plasticity modeling. Int. J. Plast. 21 2 (2005) 221-249
    • (2005) Int. J. Plast. , vol.21 , Issue.2 , pp. 221-249
    • Buchheit, T.E.1    Wellman, G.W.2    Battaile, C.B.3
  • 6
    • 0032321097 scopus 로고    scopus 로고
    • Polycrystal constraint and grain subdivision
    • Butler G.C., and McDowell D.L. Polycrystal constraint and grain subdivision. Int. J. Plast. 14 8 (1998) 703-717
    • (1998) Int. J. Plast. , vol.14 , Issue.8 , pp. 703-717
    • Butler, G.C.1    McDowell, D.L.2
  • 7
    • 0024055966 scopus 로고
    • Effect of rate sensitivity on slip system activity and lattice rotation
    • Canova G.R., Fressengeas C., Molinari A., and Kocks U.F. Effect of rate sensitivity on slip system activity and lattice rotation. Acta Metall. 38 8 (1988) 1961-1970
    • (1988) Acta Metall. , vol.38 , Issue.8 , pp. 1961-1970
    • Canova, G.R.1    Fressengeas, C.2    Molinari, A.3    Kocks, U.F.4
  • 10
    • 0015985839 scopus 로고
    • A comparison of the observed and predicted deformation textures in cubic metals
    • Dillamore I.L., and Katoh H. A comparison of the observed and predicted deformation textures in cubic metals. Metal Sci. 8 (1974) 21-27
    • (1974) Metal Sci. , vol.8 , pp. 21-27
    • Dillamore, I.L.1    Katoh, H.2
  • 11
    • 34247518691 scopus 로고    scopus 로고
    • Length changes and texture prediction during free end torsion test of copper bars with FEM and remeshing techniques
    • Duchêne L., El Houdaigui F., and Habrake A.M. Length changes and texture prediction during free end torsion test of copper bars with FEM and remeshing techniques. Int. J. Plast. 23 8 (2007) 1417-1438
    • (2007) Int. J. Plast. , vol.23 , Issue.8 , pp. 1417-1438
    • Duchêne, L.1    El Houdaigui, F.2    Habrake, A.M.3
  • 12
    • 0020168181 scopus 로고
    • Multislip in FCC crystals: a theoretical approach compared with experimental data
    • Franciosi P., and Zaoui A. Multislip in FCC crystals: a theoretical approach compared with experimental data. Acta Metall. 30 (1982) 1627-1637
    • (1982) Acta Metall. , vol.30 , pp. 1627-1637
    • Franciosi, P.1    Zaoui, A.2
  • 13
    • 34547304914 scopus 로고    scopus 로고
    • Deformation and fracture behavior of electrocodeposited alumina nanoparticle/copper composite films
    • Gan Y.X., Wei C.S., Lam M., Wei X., Lee D., Kysar J.W., and Chen X. Deformation and fracture behavior of electrocodeposited alumina nanoparticle/copper composite films. J. Mater. Sci. 42 13 (2007) 5256-5263
    • (2007) J. Mater. Sci. , vol.42 , Issue.13 , pp. 5256-5263
    • Gan, Y.X.1    Wei, C.S.2    Lam, M.3    Wei, X.4    Lee, D.5    Kysar, J.W.6    Chen, X.7
  • 15
    • 33748803328 scopus 로고    scopus 로고
    • Finite element modeling of tube hydroforming of polycrystalline aluminum alloy extrusions
    • Guan Y., Pourboghrat F., and Barlat F. Finite element modeling of tube hydroforming of polycrystalline aluminum alloy extrusions. Int. J. Plast. 22 12 (2006) 2366-2393
    • (2006) Int. J. Plast. , vol.22 , Issue.12 , pp. 2366-2393
    • Guan, Y.1    Pourboghrat, F.2    Barlat, F.3
  • 16
    • 34248667555 scopus 로고    scopus 로고
    • Coupling between experimental measurements and polycrystal finite element calculations for micromechanical study of metallic materials
    • Héripré E., Dexet M., Crépin J., Gélébart A.R.L., Bornert M., and Caldemaison D. Coupling between experimental measurements and polycrystal finite element calculations for micromechanical study of metallic materials. Int. J. Plast. 23 9 (2007) 1512-1539
    • (2007) Int. J. Plast. , vol.23 , Issue.9 , pp. 1512-1539
    • Héripré, E.1    Dexet, M.2    Crépin, J.3    Gélébart, A.R.L.4    Bornert, M.5    Caldemaison, D.6
  • 17
    • 0000248312 scopus 로고
    • Discontinuity relations in mechanics of solids
    • Sneddon I.N., and Hill R. (Eds), Interscience Publishers, New York Chapter 6
    • Hill R. Discontinuity relations in mechanics of solids. In: Sneddon I.N., and Hill R. (Eds). Progress in Solid Mechanics vol. 2 (1961), Interscience Publishers, New York 247-278 Chapter 6
    • (1961) Progress in Solid Mechanics , vol.2 , pp. 247-278
    • Hill, R.1
  • 18
    • 49749215641 scopus 로고
    • Continuum micro-mechanics of elastoplastic polycrystals
    • Hill R. 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
  • 19
    • 45449124194 scopus 로고
    • Mechanism of deformation and development of rolling textures in polycrystalline FCC metals. I. Description of rolling texture in homogeneous CuZn alloys
    • Hirsch J., and Lucke K. Mechanism of deformation and development of rolling textures in polycrystalline FCC metals. I. Description of rolling texture in homogeneous CuZn alloys. Acta Metall. 36 11 (1988) 2863-2882
    • (1988) Acta Metall. , vol.36 , Issue.11 , pp. 2863-2882
    • Hirsch, J.1    Lucke, K.2
  • 20
    • 45449124706 scopus 로고
    • Mechanism of deformation and development of rolling textures in polycrystalline FCC metals. II. Simulation and interpretation of experiments on the basis of Taylor-type theories
    • Hirsch J., and Lucke K. Mechanism of deformation and development of rolling textures in polycrystalline FCC metals. II. Simulation and interpretation of experiments on the basis of Taylor-type theories. Acta Metall. 36 11 (1988) 2883-2904
    • (1988) Acta Metall. , vol.36 , Issue.11 , pp. 2883-2904
    • Hirsch, J.1    Lucke, K.2
  • 22
    • 0030819332 scopus 로고    scopus 로고
    • Scaling of microstructural parameters: misorientations of deformation induced boundaries
    • Hughes D.A., Liu Q., Chrzan D.C., and Hansen N. Scaling of microstructural parameters: misorientations of deformation induced boundaries. Acta Mater. 45 1 (1997) 105-112
    • (1997) Acta Mater. , vol.45 , Issue.1 , pp. 105-112
    • Hughes, D.A.1    Liu, Q.2    Chrzan, D.C.3    Hansen, N.4
  • 23
    • 0010576818 scopus 로고
    • Crystallographic texture evolution in bulk deformation processing of FCC metals
    • Kalidindi S.R., Bronkhorst C.A., and Anand L. Crystallographic texture evolution in bulk deformation processing of FCC metals. J. Mech. Phys. Solids (1992) 537-569
    • (1992) J. Mech. Phys. Solids , pp. 537-569
    • Kalidindi, S.R.1    Bronkhorst, C.A.2    Anand, L.3
  • 25
    • 43049135117 scopus 로고    scopus 로고
    • Knezevic, M., Kalidindi, S.R., Fullwood, D., 2008. Computationally efficient database and spectral interpolation for fully plastic Taylor-type crystal plasticity calculations of face-centered cubic polycrystals. Int. J. Plast. doi:10.1016/j.ijplas.2007.12.002.
    • Knezevic, M., Kalidindi, S.R., Fullwood, D., 2008. Computationally efficient database and spectral interpolation for fully plastic Taylor-type crystal plasticity calculations of face-centered cubic polycrystals. Int. J. Plast. doi:10.1016/j.ijplas.2007.12.002.
  • 27
    • 0033340671 scopus 로고    scopus 로고
    • Modeling the role of local correlations in polycrystal plasticity using viscoplastic self-consistent schemes
    • Lebensohn R. Modeling the role of local correlations in polycrystal plasticity using viscoplastic self-consistent schemes. Model. Simul. Mater. Sci. Eng. 7 (1999) 739-746
    • (1999) Model. Simul. Mater. Sci. Eng. , vol.7 , pp. 739-746
    • Lebensohn, R.1
  • 28
    • 0035899581 scopus 로고    scopus 로고
    • N-site modeling of a 3D viscoplastic polycrystal using fast fourier transform
    • Lebensohn R.A. N-site modeling of a 3D viscoplastic polycrystal using fast fourier transform. Acta Mater. 49 (2001) 2723-2737
    • (2001) Acta Mater. , vol.49 , pp. 2723-2737
    • Lebensohn, R.A.1
  • 30
    • 0027662303 scopus 로고
    • A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals: application to zirconium alloys
    • Lebensohn R.E., and Tomé C.N. A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals: application to zirconium alloys. Acta Metall. Mater. 41 9 (1993) 2611-2624
    • (1993) Acta Metall. Mater. , vol.41 , Issue.9 , pp. 2611-2624
    • Lebensohn, R.E.1    Tomé, C.N.2
  • 31
  • 32
    • 0042440497 scopus 로고    scopus 로고
    • The importance of grain-to-grain interaction during rolling deformation of copper
    • Leffers T., and Christoffersen H. The importance of grain-to-grain interaction during rolling deformation of copper. Mater. Sci. Eng. A234-236 (1997) 676-679
    • (1997) Mater. Sci. Eng. , vol.A234-236 , pp. 676-679
    • Leffers, T.1    Christoffersen, H.2
  • 33
    • 0042178869 scopus 로고
    • Slip and stress fields of a polycrystalline aggregate at different stages of loading
    • Lin T.H. Slip and stress fields of a polycrystalline aggregate at different stages of loading. J. Mech. Phys. Solids 12 (1964) 391-408
    • (1964) J. Mech. Phys. Solids , vol.12 , pp. 391-408
    • Lin, T.H.1
  • 34
    • 33748306214 scopus 로고    scopus 로고
    • Deformation banding and shear banding in single crystals
    • Mahesh S. Deformation banding and shear banding in single crystals. Acta Mater. 54 17 (2005) 4565-4574
    • (2005) Acta Mater. , vol.54 , Issue.17 , pp. 4565-4574
    • Mahesh, S.1
  • 35
    • 8444241194 scopus 로고    scopus 로고
    • Deformation banding under arbitrary monotonic loading in cubic metals
    • Mahesh S., and Tomé C.N. Deformation banding under arbitrary monotonic loading in cubic metals. Phil. Mag. 84 (2004) 3517-3546
    • (2004) Phil. Mag. , vol.84 , pp. 3517-3546
    • Mahesh, S.1    Tomé, C.N.2
  • 37
    • 3042615618 scopus 로고    scopus 로고
    • High- and low-cycle fatigue crack initiation using polycrystal plasticity
    • Manonukul A., and Dunne F.P.E. High- and low-cycle fatigue crack initiation using polycrystal plasticity. Proc. R. Soc. A 460 2047 (2004) 1881-1903
    • (2004) Proc. R. Soc. A , vol.460 , Issue.2047 , pp. 1881-1903
    • Manonukul, A.1    Dunne, F.P.E.2
  • 38
    • 34248655158 scopus 로고    scopus 로고
    • A three-dimensional crystal plasticity model for duplex Ti-6Al-4V
    • Mayeur J.R., and McDowell D.L. A three-dimensional crystal plasticity model for duplex Ti-6Al-4V. Int. J. Plast. 23 9 (2007) 1457-1485
    • (2007) Int. J. Plast. , vol.23 , Issue.9 , pp. 1457-1485
    • Mayeur, J.R.1    McDowell, D.L.2
  • 39
    • 0023565321 scopus 로고
    • A self-consistent approach of the large deformation polycrystal viscoplasticity
    • Molinari A., Canova G.R., and Ahzi S. A self-consistent approach of the large deformation polycrystal viscoplasticity. Acta Metall. 35 (1987) 2983-2994
    • (1987) Acta Metall. , vol.35 , pp. 2983-2994
    • Molinari, A.1    Canova, G.R.2    Ahzi, S.3
  • 40
    • 33749656610 scopus 로고    scopus 로고
    • Modeling the plastic response of thin metal membranes
    • Nemat-Nasser S., Maximenko A., and Olevsky E. Modeling the plastic response of thin metal membranes. J. Mech. Phys. Solids 54 11 (2006) 2474-2494
    • (2006) J. Mech. Phys. Solids , vol.54 , Issue.11 , pp. 2474-2494
    • Nemat-Nasser, S.1    Maximenko, A.2    Olevsky, E.3
  • 41
    • 0033076749 scopus 로고    scopus 로고
    • Nonconvex energy minimization and dislocation structures in ductile single crystals
    • Ortiz M., and Repetto E.A. Nonconvex 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
  • 43
    • 33845403815 scopus 로고    scopus 로고
    • The role of shear banding on deformation texture in low stacking fault energy metals as characterized by model Ag crystals
    • Paul H., Driver J.H., Maurice C., and Piatkowski A. The role of shear banding on deformation texture in low stacking fault energy metals as characterized by model Ag crystals. Acta Mater. 55 (2007) 575-588
    • (2007) Acta Mater. , vol.55 , pp. 575-588
    • Paul, H.1    Driver, J.H.2    Maurice, C.3    Piatkowski, A.4
  • 44
    • 0035947495 scopus 로고    scopus 로고
    • Work-hardening/softening behavior of bcc polycrystals during changing strain paths. I. An integrated model based on substructure and texture evolution, and its prediction of the stress-strain behavior of an IF steel during two-stage strain paths
    • Peeters B., Seefeldt M., Teodosiu C., Kalidindi S.R., Houtte P.V., and Aernoudt E. Work-hardening/softening behavior of bcc polycrystals during changing strain paths. I. An integrated model based on substructure and texture evolution, and its prediction of the stress-strain behavior of an IF steel during two-stage strain paths. Acta Mater. 49 (2001) 1607-1619
    • (2001) Acta Mater. , vol.49 , pp. 1607-1619
    • Peeters, B.1    Seefeldt, M.2    Teodosiu, C.3    Kalidindi, S.R.4    Houtte, P.V.5    Aernoudt, E.6
  • 45
    • 0035947359 scopus 로고    scopus 로고
    • Work-hardening/softening behavior of bcc polycrystals during changing strain paths. II. TEM observations of dislocation sheets in an IF steel during two-stage strain paths and their representation in terms of dislocation densities
    • Peeters B., Bacroix B., Teodosiu C., Houtte P.V., and Aernoudt E. Work-hardening/softening behavior of bcc polycrystals during changing strain paths. II. TEM observations of dislocation sheets in an IF steel during two-stage strain paths and their representation in terms of dislocation densities. Acta Mater. 49 (2001) 1621-1632
    • (2001) Acta Mater. , vol.49 , pp. 1621-1632
    • Peeters, B.1    Bacroix, B.2    Teodosiu, C.3    Houtte, P.V.4    Aernoudt, E.5
  • 46
    • 0020140945 scopus 로고
    • An analysis of nonuniform and localized deformation in ductile single crystals
    • Pierce D., Asaro R.J., and Needleman A. An analysis of nonuniform and localized deformation in ductile single crystals. Acta Mater. 30 (1982) 1087-1119
    • (1982) Acta Mater. , vol.30 , pp. 1087-1119
    • Pierce, D.1    Asaro, R.J.2    Needleman, A.3
  • 47
    • 0003889748 scopus 로고
    • Gordon and Breach, Ch. Numerical Methods for Nonlinear Algebraic Equations
    • Powell, M.J.D., 1970. A Hybrid Method for Nonlinear Equations. Gordon and Breach, Ch. Numerical Methods for Nonlinear Algebraic Equations.
    • (1970) A Hybrid Method for Nonlinear Equations
    • Powell, M.J.D.1
  • 48
    • 33847360635 scopus 로고    scopus 로고
    • Modeling texture, twinning and hardening evolution during deformation of hexagonal materials
    • Proust G., Tomé C.N., and Kaschner G.C. Modeling texture, twinning and hardening evolution during deformation of hexagonal materials. Acta Mater. 55 (2007) 2137-2148
    • (2007) Acta Mater. , vol.55 , pp. 2137-2148
    • Proust, G.1    Tomé, C.N.2    Kaschner, G.C.3
  • 49
    • 47049114276 scopus 로고    scopus 로고
    • Shenoy, M., Tjiptowidjojo, Y., McDowell, D., 2008. Microstructure-sensitive modeling of polycrystalline IN 100. Int. J. Plast. doi:10.1016/j.ijplas.2008.01.001.
    • Shenoy, M., Tjiptowidjojo, Y., McDowell, D., 2008. Microstructure-sensitive modeling of polycrystalline IN 100. Int. J. Plast. doi:10.1016/j.ijplas.2008.01.001.
  • 50
    • 52249110700 scopus 로고    scopus 로고
    • Shiekhelsouk, M.N., Favier, V., Inal, K., Cherkaoui, M., 2008. Modelling the behaviour of polycrystalline austenitic steel with twinning-induced plasticity effect. Int. J. Plast. doi:10.1016/j.ijplas.2007.11.004.
    • Shiekhelsouk, M.N., Favier, V., Inal, K., Cherkaoui, M., 2008. Modelling the behaviour of polycrystalline austenitic steel with twinning-induced plasticity effect. Int. J. Plast. doi:10.1016/j.ijplas.2007.11.004.
  • 51
    • 0000649503 scopus 로고
    • Plastic strain in metals
    • Taylor G.I. Plastic strain in metals. J. Inst. Metals 62 (1938) 307
    • (1938) J. Inst. Metals , vol.62 , pp. 307
    • Taylor, G.I.1
  • 52
    • 17744373274 scopus 로고    scopus 로고
    • Grain interaction effects in polycrystalline Cu
    • Thorning C., Somers M.A.J., and Wert J.A. Grain interaction effects in polycrystalline Cu. Mater. Sci. Eng. A397 1-2 (2005) 215-228
    • (2005) Mater. Sci. Eng. , vol.A397 , Issue.1-2 , pp. 215-228
    • Thorning, C.1    Somers, M.A.J.2    Wert, J.A.3
  • 53
    • 0021505795 scopus 로고
    • The relation between macroscopic and microscopic strain hardening in F.C.C. polycrystals
    • Tomé C., Canova G.R., Kocks U.F., Christodoulou N., and Jonas J.J. The relation between macroscopic and microscopic strain hardening in F.C.C. polycrystals. Acta Metall. 32 10 (1984) 1637-1653
    • (1984) Acta Metall. , vol.32 , Issue.10 , pp. 1637-1653
    • Tomé, C.1    Canova, G.R.2    Kocks, U.F.3    Christodoulou, N.4    Jonas, J.J.5
  • 54
    • 0036008016 scopus 로고    scopus 로고
    • Comparison of two grain interaction models for polycrystal plasticity and deformation texture prediction
    • Van Houtte P., Delannay L., and Kalidindi S.R. Comparison of two grain interaction models for polycrystal plasticity and deformation texture prediction. Int. J. Plast. 18 3 (2005) 359-377
    • (2005) Int. J. Plast. , vol.18 , Issue.3 , pp. 359-377
    • Van Houtte, P.1    Delannay, L.2    Kalidindi, S.R.3
  • 55
    • 6444243155 scopus 로고    scopus 로고
    • Deformation texture prediction: from the Taylor model to the advanced Lamel model
    • Van Houtte P., Li S., Seefeldt M., and Delannay L. Deformation texture prediction: from the Taylor model to the advanced Lamel model. Int. J. Plast. 21 3 (2002) 589-624
    • (2002) Int. J. Plast. , vol.21 , Issue.3 , pp. 589-624
    • Van Houtte, P.1    Li, S.2    Seefeldt, M.3    Delannay, L.4
  • 56
    • 0023536939 scopus 로고
    • Anisotropic hardening of single crystals and the plasticity of polycrystals
    • Weng G.J. Anisotropic hardening of single crystals and the plasticity of polycrystals. Int. J. Plast. 3 (1987) 315-339
    • (1987) Int. J. Plast. , vol.3 , pp. 315-339
    • Weng, G.J.1
  • 57
    • 33847609230 scopus 로고    scopus 로고
    • Effects of spatial grain orientation distribution and initial surface topography on sheet metal necking
    • Wu P.D., Lloyd D.J., Jain M., Neale K.W., and Huang Y. Effects of spatial grain orientation distribution and initial surface topography on sheet metal necking. Int. J. Plast. 23 6 (2007) 1084-1104
    • (2007) Int. J. Plast. , vol.23 , Issue.6 , pp. 1084-1104
    • Wu, P.D.1    Lloyd, D.J.2    Jain, M.3    Neale, K.W.4    Huang, Y.5
  • 58
    • 33947699435 scopus 로고    scopus 로고
    • An effective computational algorithm for rate-independent crystal plasticity based on a single crystal yield surface with an application to tube hydroforming
    • Zamiri A., Pourboghrat F., and Barlat F. An effective computational algorithm for rate-independent crystal plasticity based on a single crystal yield surface with an application to tube hydroforming. Int. J. Plast. 23 7 (2007) 1126-1147
    • (2007) Int. J. Plast. , vol.23 , Issue.7 , pp. 1126-1147
    • Zamiri, A.1    Pourboghrat, F.2    Barlat, F.3


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