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Volumn 52, Issue 8, 2004, Pages 1793-1826

On boundary conditions and plastic strain-gradient discontinuity in lower-order gradient plasticity

Author keywords

Boundary conditions; Gradient plasticity; Hardening

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; GRADIENT METHODS; LINEAR EQUATIONS; STRAIN HARDENING; STRAIN RATE;

EID: 3042691921     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2004.02.005     Document Type: Article
Times cited : (39)

References (23)
  • 1
    • 0347392551 scopus 로고    scopus 로고
    • Driving forces and boundary conditions in continuum dislocation mechanics
    • Acharya A. Driving forces and boundary conditions in continuum dislocation mechanics. Proc. R. Soc. London A. 459:2003;1343-1363.
    • (2003) Proc. R. Soc. London A , vol.459 , pp. 1343-1363
    • Acharya, A.1
  • 2
    • 0002286937 scopus 로고    scopus 로고
    • On nonlocal flow theories that preserve the classical structure of incremental boundary value problems
    • A. Pineau, & A. Zaoui. Dordrecht: Kluwer Academic Publishers
    • Acharya A., Bassani J.L. On nonlocal flow theories that preserve the classical structure of incremental boundary value problems. Pineau A., Zaoui A. IUTAM Symposium on Micromechanics of Plasticity and Damage of Multiphase Materials. 1996;3-9 Kluwer Academic Publishers, Dordrecht.
    • (1996) IUTAM Symposium on Micromechanics of Plasticity and Damage of Multiphase Materials , pp. 3-9
    • Acharya, A.1    Bassani, J.L.2
  • 3
    • 0033737940 scopus 로고    scopus 로고
    • Lattice incompatibility and a gradient theory of crystal plasticity
    • Acharya A., 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
  • 4
    • 0034299934 scopus 로고    scopus 로고
    • Grain-size effect in FCC viscoplastic polycrystals at moderate strains
    • Acharya A., Beaudoin A.J. Grain-size effect in FCC viscoplastic polycrystals at moderate strains. J. Mech. Phys. Solids. 48:2000;2213-2230.
    • (2000) J. Mech. Phys. Solids , vol.48 , pp. 2213-2230
    • Acharya, A.1    Beaudoin, A.J.2
  • 5
    • 0001244536 scopus 로고
    • Thermodynamic restrictions on constitutive equations for second-deformation-gradient inelastic behavior
    • Acharya A., Shawki T.G. Thermodynamic restrictions on constitutive equations for second-deformation-gradient inelastic behavior. J. Mech. Phys. Solids. 11:1995;1751-1772.
    • (1995) J. Mech. Phys. Solids , vol.11 , pp. 1751-1772
    • Acharya, A.1    Shawki, T.G.2
  • 6
    • 0033100284 scopus 로고    scopus 로고
    • A new proposal in gradient plasticity: Theory and application in 1-D quasi-statics and dynamics
    • Acharya A., Cherukuri H.P., Govindarajan R.M. A new proposal in gradient plasticity. theory and application in 1-D quasi-statics and dynamics Mech. Cohesive-Frictional Mater. 4:1999;153-170.
    • (1999) Mech. Cohesive-Frictional Mater. , vol.4 , pp. 153-170
    • Acharya, A.1    Cherukuri, H.P.2    Govindarajan, R.M.3
  • 7
    • 77956858201 scopus 로고
    • Plastic Flow of Crystals
    • Bassani J.L. Plastic Flow of Crystals. Adv. Appl. Mech. 30:1994;191-258.
    • (1994) Adv. Appl. Mech. , vol.30 , pp. 191-258
    • Bassani, J.L.1
  • 8
    • 0035451911 scopus 로고    scopus 로고
    • Incompatibility and a simple gradient theory of plasticity
    • Bassani J.L. Incompatibility and a simple gradient theory of plasticity. J. Mech. Phys. Solids. 49:2001;1983-1996.
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 1983-1996
    • Bassani, J.L.1
  • 9
    • 0034746525 scopus 로고    scopus 로고
    • Size effects in composites: A comparison of nonlocal plasticity and discrete dislocation predictions
    • Bassani J.L., Needleman A., Van der Geissen E. Size effects in composites. a comparison of nonlocal plasticity and discrete dislocation predictions Int. J. Solids Struct. 38:2001;833-853.
    • (2001) Int. J. Solids Struct. , vol.38 , pp. 833-853
    • Bassani, J.L.1    Needleman, A.2    Van der Geissen, E.3
  • 10
    • 0035879791 scopus 로고    scopus 로고
    • A model for rate-dependent flow of metal polycrystals based on the slip plane lattice incompatibility
    • Beaudoin A.J., Acharya A. A model for rate-dependent flow of metal polycrystals based on the slip plane lattice incompatibility. Mater. Sci. Eng. A-309-310:2001;411-415.
    • (2001) Mater. Sci. Eng. , vol.A-309-310 , pp. 411-415
    • Beaudoin, A.J.1    Acharya, A.2
  • 11
    • 0034246721 scopus 로고    scopus 로고
    • Consideration of grain-size effect and kinetics in the plastic deformation of metal polycrystals
    • Beaudoin A.J., Acharya A., Chen S.R., Korzekwa D.A., Stout M.G. Consideration of grain-size effect and kinetics in the plastic deformation of metal polycrystals. Acta Mater. 48:2000;3409-3423.
    • (2000) Acta Mater. , vol.48 , pp. 3409-3423
    • Beaudoin, A.J.1    Acharya, A.2    Chen, S.R.3    Korzekwa, D.A.4    Stout, M.G.5
  • 12
    • 0035479791 scopus 로고    scopus 로고
    • A reformulation of strain gradient plasticity
    • Fleck N.A., Hutchinson J.W. A reformulation of strain gradient plasticity. J. Mech. Phys. Solids. 49:2001;2245-2271.
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 2245-2271
    • Fleck, N.A.1    Hutchinson, J.W.2
  • 13
    • 84980082640 scopus 로고
    • Symmetric positive linear differential equations
    • Friedrichs K.O. Symmetric positive linear differential equations. Commun. Pure Appl. Math. XI:1958;333-418.
    • (1958) Commun. Pure Appl. Math. , vol.11 , pp. 333-418
    • Friedrichs, K.O.1
  • 14
    • 0036131798 scopus 로고    scopus 로고
    • A gradient theory of single crystal viscoplasticity that accounts for geometrically necessary dislocations
    • Gurtin M.E. A gradient theory of single crystal viscoplasticity that accounts for geometrically necessary dislocations. J. Mech. Phys. Solids. 50:2002;5-32.
    • (2002) J. Mech. Phys. Solids , vol.50 , pp. 5-32
    • Gurtin, M.E.1
  • 15
    • 27744574041 scopus 로고
    • A general theory of uniqueness and stability in elastic-plastic solids
    • Hill R. A general theory of uniqueness and stability in elastic-plastic solids. J. Mech. Phys. Solids. 6:1958;236-249.
    • (1958) J. Mech. Phys. Solids , vol.6 , pp. 236-249
    • Hill, R.1
  • 16
    • 0003364279 scopus 로고
    • Partial differential equations
    • Springer, Berlin
    • John, F., 1982, Partial Differential Equations, Applied Mathematical Sciences, Vol. 1. Springer, Berlin.
    • (1982) Applied Mathematical Sciences , vol.1
    • John, F.1
  • 17
    • 0004133133 scopus 로고
    • Hyperbolic systems of conservation laws and the mathematical theory of shock waves
    • SIAM, Philadelphia
    • Lax, P.D., 1973. Hyperbolic systems of conservation laws and the mathematical theory of shock waves. CBMS series, SIAM, Philadelphia.
    • (1973) CBMS Series
    • Lax, P.D.1
  • 18
    • 0345794258 scopus 로고    scopus 로고
    • On lower-order strain gradient plasticity theories
    • Niordson, C.F., Hutchinson, J.W., 2003. On lower-order strain gradient plasticity theories. Eur. J. Mech. A/Solids 22, 771-778.
    • (2003) Eur. J. Mech. A/Solids , vol.22 , pp. 771-778
    • Niordson, C.F.1    Hutchinson, J.W.2
  • 19
    • 0035371582 scopus 로고    scopus 로고
    • Boundary layers in constrained plastic flow: Comparison of nonlocal and discrete dislocation plasticity
    • Shu J.Y., Fleck N.A., Van der Giessen E., Needleman A. Boundary layers in constrained plastic flow. comparison of nonlocal and discrete dislocation plasticity J. Mech. Phys. Solids. 49:2001;1361-1395.
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 1361-1395
    • Shu, J.Y.1    Fleck, N.A.2    Van der Giessen, E.3    Needleman, A.4
  • 23
    • 0036854721 scopus 로고    scopus 로고
    • Are lower-order gradient theories of plasticity really lower order?
    • Volokh, K.Yu., Hutchinson, J.W., 2002. Are lower-order gradient theories of plasticity really lower order? J. Appl. Mech. 69, 862-864.
    • (2002) J. Appl. Mech. , vol.69 , pp. 862-864
    • Volokh, K.Yu.1    Hutchinson, J.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.