메뉴 건너뛰기




Volumn 51, Issue 7, 2003, Pages 1189-1214

Couple stresses in crystalline solids: Origins from plastic slip gradients, dislocation core distortions, and three-body interatomic potentials

Author keywords

A. Dislocations; B. Constitutive behavior; Couple stress; Finite strain; Interatomic potential

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; CONTINUUM MECHANICS; CRYSTAL LATTICES; DISLOCATIONS (CRYSTALS); ELASTOPLASTICITY; SINGLE CRYSTALS; STRAIN; STRESS ANALYSIS; TENSORS;

EID: 0038665420     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(03)00036-X     Document Type: Article
Times cited : (15)

References (28)
  • 1
    • 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
  • 2
    • 0032675618 scopus 로고    scopus 로고
    • Crysallographic aspects of geometrically necessary and statistically stored dislocation density
    • Arsenlis A., Parks D.M. Crysallographic aspects of geometrically necessary and statistically stored dislocation density. Acta Mater. 47:1999;1597-1611.
    • (1999) Acta Mater. , vol.47 , pp. 1597-1611
    • Arsenlis, A.1    Parks, D.M.2
  • 3
    • 84968466504 scopus 로고
    • A collocation solver for mixed-order systems of boundary value problems
    • Ascher U., Christiansen J., Russell R. A collocation solver for mixed-order systems of boundary value problems. Math. Comp. 33:1979;659-679.
    • (1979) Math. Comp. , vol.33 , pp. 659-679
    • Ascher, U.1    Christiansen, J.2    Russell, R.3
  • 5
    • 33748850018 scopus 로고
    • Comparative study of silicon empirical interatomic potentials
    • Balamane H., Halicioglu T., Tiller W.A. Comparative study of silicon empirical interatomic potentials. Phys. Rev. B. 46(4):1992;2250-2279.
    • (1992) Phys. Rev. B , vol.46 , Issue.4 , pp. 2250-2279
    • Balamane, H.1    Halicioglu, T.2    Tiller, W.A.3
  • 6
    • 0035879740 scopus 로고    scopus 로고
    • A model of crystal plasticity containing a natural length scale
    • Bammann D.J. A model of crystal plasticity containing a natural length scale. Materials Science and Engineering. A309-310:2001;406-410.
    • (2001) Materials Science and Engineering , vol.A309-310 , pp. 406-410
    • Bammann, D.J.1
  • 7
    • 4243080581 scopus 로고
    • Application of the embedded-atom method to covalent materials: A semiempirical potential for silicon
    • Baskes M.I. Application of the embedded-atom method to covalent materials. a semiempirical potential for silicon Phys. Rev. Lett. 59(23):1987;2666-2669.
    • (1987) Phys. Rev. Lett. , vol.59 , Issue.23 , pp. 2666-2669
    • Baskes, M.I.1
  • 8
    • 0000180249 scopus 로고
    • Semiempirical modified embedded atom potentials for silicon and germanium
    • Baskes M.I., Nelson J.S., Wright A.F. Semiempirical modified embedded atom potentials for silicon and germanium. Phys. Rev. B. 40(9):1989;6085-6100.
    • (1989) Phys. Rev. B , vol.40 , Issue.9 , pp. 6085-6100
    • Baskes, M.I.1    Nelson, J.S.2    Wright, A.F.3
  • 9
    • 0000410614 scopus 로고
    • Continuous distributions of dislocations: A new application of the methods of non-Riemannian Geometry
    • Bilby B.A., Bullough R., Smith E. Continuous distributions of dislocations: A new application of the methods of non-Riemannian Geometry. Proceedings of the Royal Society. A231:1955;263-273.
    • (1955) Proceedings of the Royal Society , vol.A231 , pp. 263-273
    • Bilby, B.A.1    Bullough, R.2    Smith, E.3
  • 11
    • 0037025251 scopus 로고    scopus 로고
    • Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity
    • Engel G., Garikipati K., Hughes T.J.R., Larson M.G., Mazzei L., Taylor R.L. Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity. Comp. Methods Appl. Mech. Eng. 191(34):2002;3669-3750.
    • (2002) Comp. Methods Appl. Mech. Eng. , vol.191 , Issue.34 , pp. 3669-3750
    • Engel, G.1    Garikipati, K.2    Hughes, T.J.R.3    Larson, M.G.4    Mazzei, L.5    Taylor, R.L.6
  • 14
    • 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(10):2001;2245-2271.
    • (2001) J. Mech. Phys. Solids , vol.49 , Issue.10 , pp. 2245-2271
    • Fleck, N.A.1    Hutchinson, J.W.2
  • 15
    • 0033553060 scopus 로고    scopus 로고
    • Mechanism-based strain gradient plasticity - I. Theory
    • Gao H., Huang Y., Nix W.D. Mechanism-based strain gradient plasticity - I. Theory. J. Mech. Phys. Solids. 47:1999;1239-1263.
    • (1999) J. Mech. Phys. Solids , vol.47 , pp. 1239-1263
    • Gao, H.1    Huang, Y.2    Nix, W.D.3
  • 16
    • 0001580256 scopus 로고
    • Dislocations and plasticity in semiconductors. I: Dislocation structures and dynamics
    • George A., Rabier J. Dislocations and plasticity in semiconductors. I. Dislocation structures and dynamics Rev. Phys. Appl. 22(9):1987;941-966.
    • (1987) Rev. Phys. Appl. , vol.22 , Issue.9 , pp. 941-966
    • George, A.1    Rabier, J.2
  • 17
    • 0343337643 scopus 로고    scopus 로고
    • On the plasticity of single crystals: Free energy, microforces, plastic-strain gradients
    • Gurtin M.E. On the plasticity of single crystals. free energy, microforces, plastic-strain gradients J. Mech. Phys. Solids. 48:2000;989-1036.
    • (2000) J. Mech. Phys. Solids , vol.48 , pp. 989-1036
    • Gurtin, M.E.1
  • 19
    • 0032020971 scopus 로고    scopus 로고
    • Indentation size effects in crystalline materials: A law for strain gradient plasticity
    • Nix W.D., Gao H. Indentation size effects in crystalline materials. a law for strain gradient plasticity J. Mech. Phys. Solids. 46:1998;411-425.
    • (1998) J. Mech. Phys. Solids , vol.46 , pp. 411-425
    • Nix, W.D.1    Gao, H.2
  • 20
    • 0034499513 scopus 로고    scopus 로고
    • Models of core reconstruction for the 90 degrees partial dislocation in semiconductors
    • Nunes R.W., Vanderbilt D. Models of core reconstruction for the 90 degrees partial dislocation in semiconductors. J. Phys. Condens. Matter. 12(49):2000;10021-10027.
    • (2000) J. Phys. Condens. Matter , vol.12 , Issue.49 , pp. 10021-10027
    • Nunes, R.W.1    Vanderbilt, D.2
  • 21
    • 0001580254 scopus 로고
    • Dislocations and plasticity in semiconductors. II. The relation between dislocation dynamics and plastic deformation
    • Rabier J., George A. Dislocations and plasticity in semiconductors. II. The relation between dislocation dynamics and plastic deformation. Rev. Phys. Appl. 22(11):1987;1327-1351.
    • (1987) Rev. Phys. Appl. , vol.22 , Issue.11 , pp. 1327-1351
    • Rabier, J.1    George, A.2
  • 23
    • 4243754961 scopus 로고
    • Computer simulation of local order in condensed phases of silicon
    • Stillinger F.H., Weber T.A. Computer simulation of local order in condensed phases of silicon. Phys. Rev. B. 31(8):1985;5262-5271.
    • (1985) Phys. Rev. B , vol.31 , Issue.8 , pp. 5262-5271
    • Stillinger, F.H.1    Weber, T.A.2
  • 24
    • 33947180779 scopus 로고
    • Elastic materials with couple stresses
    • Toupin R.A. Elastic materials with couple stresses. Arch. Ration. Mech. Anal. 11:1962;385-414.
    • (1962) Arch. Ration. Mech. Anal. , vol.11 , pp. 385-414
    • Toupin, R.A.1
  • 25
    • 34250940617 scopus 로고
    • Theories of elasticity with couple stresses
    • Toupin R.A. Theories of elasticity with couple stresses. Arch. Ration. Mech. Anal. 17:1964;85-112.
    • (1964) Arch. Ration. Mech. Anal. , vol.17 , pp. 85-112
    • Toupin, R.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.