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2015 | OriginalPaper | Buchkapitel

12. From Single Crystal to Polycrystal Plasticity: Overview of Main Approaches

verfasst von : Esteban P. Busso

Erschienen in: Handbook of Damage Mechanics

Verlag: Springer New York

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Abstract

This chapter provides a brief overview of the different continuum mechanics approaches used to describe the deformation behavior of either single crystals or individual grains in polycrystalline metallic materials. The crucial role that physics-based crystal plasticity approaches may play in understanding the mechanisms of damage initiation and growth is addressed. This includes a discussion of the main strain gradient constitutive approaches used to describe size effects in crystalline solids. Finally, representative examples are given about the effect of the local stress and strain fields in the mechanisms of intergranular damage initiation and growth in FCC polycrystal materials.

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Vorheriges Kapitel Ductile Damage Behavior in Low-Cycle Fatigue for Polycrystalline Metallic Materials

Nächstes Kapitel Micromechanics for Heterogeneous Material Property Estimation

G. Abrivard, E.P. Busso, S. Forest, B. Appolaire, Phase field modelling of grain boundary motion driven by curvature and stored energy gradient. Part I – theory and numerical implementation. Philos. Mag. 92(28–30), 3618–3642 (2012)CrossRef

A. Acharya, J.L. Bassani, Lattice incompatibility and a gradient theory of crystal plasticity. J. Mech. Phys. Solids 48, 1565–1595 (2000)MathSciNetCrossRefMATH

A. Acharya, A.J. Beaudoin, Grain size effects in viscoplastic polycrystals at moderate strains. J. Mech. Phys. Solids 48, 2213–2230 (2000)CrossRefMATH

E.C. Aifantis, On the microstructural origin of certain inelastic models. J. Eng. Mater. Technol. 106, 326–330 (1984)CrossRef

E.C. Aifantis, The physics of plastic deformation. Int. J. Plast. 3, 211–248 (1987)CrossRefMATH

L. Anand, M. Kothari, A computational procedure for rate independent crystal plasticity. J. Mech. Phys. Solids 44, 525–558 (1996)MathSciNetCrossRefMATH

A. Arsenlis, D. Parks, Modeling the evolution of crystallographic dislocation density in crystal plasticity. J. Mech. Phys. Solids 50, 1979–2009 (2001)CrossRef

R.J. Asaro, J.R. Rice, Strain localization in ductile single crystals. J. Mech. Phys. Solids 25, 309–338 (1977)CrossRefMATH

D.J. Bammann, A model of crystal plasticity containing a natural length scale. Mater. Sci. Eng. A 309–310, 406–410 (2001)CrossRef

J.L. Bassani, Incompatibility and a simple gradient theory of plasticity. J. Mech. Phys. Solids 49, 1983–1996 (2001)CrossRefMATH

E. Bittencourt, A. Needleman, M. Gurtin, E. Van der Giessen, A comparison of nonlocal continuum and discrete dislocation plasticity predictions. J. Mech. Phys. Solids 51(2), 281–310 (2003)MathSciNetCrossRefMATH

E.P. Busso, G. Cailletaud, On the selection of active slip systems in crystal plasticity. Int. J. Plast. 21, 2212–2231 (2005)CrossRefMATH

E.P. Busso, F. McClintock, A dislocation mechanics-based crystallographic model of a B2-type intermetallic alloy. Int. J. Plast. 12, 1–28 (1996)CrossRef

E.P. Busso, F.T. Meissonnier, N.P. O’Dowd, Gradient-dependent deformation of two-phase single crystals. J. Mech. Phys. Solids 48, 2333–2361 (2000)CrossRefMATH

K.S. Cheong, E.P. Busso, Discrete dislocation density modelling of single phase FCC polycrystal aggregates. Acta Mater. 52, 5665–5675 (2004)CrossRef

K.S. Cheong, E.P. Busso, Effects of lattice misorientations on strain heterogeneities in FCC polycrystals. J. Mech. Phys. Solids 54(4), 671–689 (2006)CrossRefMATH

K. Cheong, E. Busso, A. Arsenlis, A study of microstructural length scale effects on the behavior of FCC polycrystals using strain gradient concepts. Int. J. Plast. 21, 1797–1814 (2004)CrossRef

J.D. Clayton, D.L. McDowell, D.J. Bammann, Modeling dislocations and disclinations with finite micropolar elastoplasticity. Int. J. Plast. 22, 210–256 (2006)CrossRefMATH

N.M. Cordero, A. Gaubert, S. Forest, E.P. Busso, F. Gallerneau, S. Kruch, Size effects in generalised continuum crystal plasticity for two-phase laminates. J. Mech. Phys. Solids 58, 1963–1994 (2010)MathSciNetCrossRefMATH

N.M. Cordero, S. Forest, E.P. Busso, S. Berbenni, M. Cherkaoui, Grain size effects on plastic strain and dislocation density tensor fields in metal polycrystals. Comput. Mater. Sci. 52, 7–13 (2012a)CrossRef

N.M. Cordero, S. Forest, E.P. Busso, Generalised continuum modelling of grain size effects in polycrystals. Comptes Rendus Mécanique 340, 261–264 (2012b)CrossRef

M.A. Crisfield, Non-linear Finite Element Analysis of Solids and Structures, vols. 1 & 2, 4th edn. (Wiley, New York, 1997)

D.N. Duhl, Directionally solidified superalloys, in Superalloys II – High Temperature Materials for Aerospace and Industrial Power, ed. by C.T. Sims, N.S. Stoloff, W.C. Hagel (Wiley, Toronto, 1987), pp. 189–214

F.P.E. Dunne, D. Rugg, A. Walker, Length scale-dependent, elastically anisotropic, physically-based hcp crystal plasticity: Application to cold-dwell fatigue in Ti alloys. Int. J. Plast. 23, 1061–1083 (2007)CrossRefMATH

F.P.E. Dunne, R. Kiwanuka, A.J. Wilkinson, Crystal plasticity analysis of micro-deformation, lattice rotation and geometrically necessary dislocation density. Proc. R. Soc. A-Math. Phys. Eng. Sci. 468, 2509–2531 (2012)CrossRef

A.C. Eringen, W.D. Claus, A micromorphic approach to dislocation theory and its relation to several existing theories, in Fundamental Aspects of Dislocation Theory, ed. by J.A. Simmons, R. de Wit, R. Bullough. National bureau of standards (US) special publication 317, II, 1970, pp. 1023–1062

N.A. Fleck, J.W. Hutchinson, Strain gradient plasticity. Adv. Appl. Mech. 33, 295–361 (1997)CrossRef

S. Forest, R. Sedlacek, Plastic slip distribution in two-phase laminate microstructures: dislocation-based vs. generalized-continuum approaches. Philos. Mag. A 83, 245–276 (2003)CrossRef

S. Forest, F. Pradel, K. Sab, Asymptotic analysis of heterogeneous Cosserat media. Int. J. Solids Struct. 38, 4585–4608 (2001)MathSciNetCrossRefMATH

N.M. Ghoniem, E.P. Busso, H. Huang, N. Kioussis, Multiscale modelling of nanomechanics and micromechanics: an overview. Philos. Mag. 83, 3475–3528 (2003)CrossRef

M.E. Gurtin, A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations. J. Mech. Phys. Solids 50, 5–32 (2002)MathSciNetCrossRefMATH

M.E. Gurtin, L. Anand, Thermodynamics applied to gradient theories involving the accumulated plastic strain: the theories of Aifantis and Fleck & Hutchinson and their generalization. J. Mech. Phys. Solids 57, 405–421 (2009)MathSciNetCrossRefMATH

T.M. Hatem, M.A. Zikry, Dislocation density crystalline plasticity modeling of lath martensitic microstructures in steel alloys. Philos. Mag. 89(33), 3087–3109 (2009)CrossRef

R. Hill, The Mathematical Theory of Plasticity, 4th edn. (Clarendon, Oxford, UK, 1950)MATH

N. Huber, C. Tsakmakis, Determination of constitutive properties from spherical indentation data using neural networks. Part II: plasticity with nonlinear isotropic and kinematic hardening. J. Mech. Phys. Solids 47, 1589–1607 (1999)CrossRef

A. Hunter, M. Koslowski, Direct calculations of material parameters for gradient plasticity. J. Mech. Phys. Solids 56(11), 3181–3190 (2008)CrossRefMATH

S. Kalidindi, C. Bronkhorst, L. Anand, Crystallographic texture theory in bulk deformation processing of fcc metals. J. Mech. Phys. Solids 40, 537 (1992)CrossRef

J.W. Kysar, Y. Saito, M.S. Oztop, D. Lee, W.T. Huh, Experimental lower bounds on geometrically necessary dislocation density. Int. J. Plast. 26(8), 1097–1123 (2010)CrossRefMATH

F. Meissonnier, E.P. Busso, N.P. O’Dowd, Finite element implementation of a generalised non-local rate-dependent crystallographic formulation for finite strains. Int. J. Plast. 17(4), 601–640 (2001)CrossRefMATH

C.-W. Nan, D. Clarke, The influence of particle size and particle fracture on the elastic–plastic deformation of metal matrix composites. Acta Mater. 44, 3801–3811 (1996)CrossRef

J.F. Nye, Some geometrical relations in dislocated crystals. Acta Metall. 1, 153–162 (1953)CrossRef

B. Peeters, M. Seefeldt, C. Teodosiu, S.R. Kalidindi, P. VanHoutte, E. Aernoudt, Work-hardening/softening behaviour of B.C.C. polycrystals during changing strain paths: I. an integrated model based on substructure and texture evolution, and its prediction of the stress–strain behaviour of an IF steel during two-stage strain paths. Acta Mater. 49, 1607–1619 (2001)CrossRef

E. Pouillier, A.F. Gourgues, D. Tanguy, E.P. Busso, A study of intergranular fracture in an aluminium alloy due to hydrogen embrittlement. Int. J. Plast. 34, 139–153 (2012)CrossRef

G. Saada, Limite élastique et durcissement dessolutions solides. Pont à Mousson 16, 255–269 (1968)

F. Schubert, G. Fleury, T. Steinhaus, Modelling of the mechanical behaviour of the SC Alloy CMSX-4 during thermomechanical loading. Model. Simul. Sci. Eng. 8, 947–957 (2000)CrossRef

J.Y. Shu, Scale-dependent deformation of porous single crystals. Int. J. Plast. 14, 1085–1107 (1998)CrossRefMATH

J.Y. Shu, N.A. Fleck, E. Van der Giessen, and A. Needleman, Boundary layers in constrained plasticflow: com parison of non-local and discrete dislocation plasticity. J. Mech. Phys. Solids 49, 1361–1395 (2001)

P. Steinmann, Views on multiplicative elastoplasticity and the continuum theory of dislocations. Int. J. Eng. Sci. 34, 1717–1735 (1996)CrossRefMATH

B. Svendsen, Continuum thermodynamic models for crystal plasticity including the effects of geometrically-necessary dislocations. J. Mech. Phys. Solids 50, 1297–1329 (2002)MathSciNetCrossRefMATH

J. Swadener, A. Misra, R. Hoagland, M. Nastasi, A mechanistic description of combined hardening and size effects. Scripta Met. 47, 343–348 (2002)CrossRef

M.A. Zikry, M. Kao, Inelastic microstructural failure mechanisms in crystalline materials with high angle grain boundaries. J. Mech. Phys. Solids V 44(11), 1765–98 (1996)CrossRef

Titel: From Single Crystal to Polycrystal Plasticity: Overview of Main Approaches
verfasst von: Esteban P. Busso
Verlag: Springer New York
Buch: Handbook of Damage Mechanics
Print ISBN: 978-1-4614-5588-2

Electronic ISBN: 978-1-4614-5589-9

Copyright-Jahr: 2015
DOI: https://doi.org/10.1007/978-1-4614-5589-9_7

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