메뉴 건너뛰기




Volumn 44, Issue 17, 2007, Pages 5665-5679

Axisymmetric nuclei of strain and their applications for multilayered solids

Author keywords

Dislocation loops; Elastic singularity; Multilayered materials; Point defects; Thin films

Indexed keywords

DISLOCATION LOOPS; ELASTIC SINGULARITY; PAPKOVICH-NEUBER HARMONIC FUNCTIONS;

EID: 34447278868     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2007.01.023     Document Type: Article
Times cited : (12)

References (53)
  • 1
    • 0023164475 scopus 로고
    • Damage in composites modelling of imperfect bonding
    • Aboudi J. Damage in composites modelling of imperfect bonding. Compos. Sci. Technol. 28 (1987) 103-128
    • (1987) Compos. Sci. Technol. , vol.28 , pp. 103-128
    • Aboudi, J.1
  • 2
    • 31044450832 scopus 로고    scopus 로고
    • On the micromechanics of void growth by prismatic-dislocation loop emission
    • Ahn D.C., Sofronis P., and Minich R. On the micromechanics of void growth by prismatic-dislocation loop emission. J. Mech. Phys. Solids 54 (2006) 735-755
    • (2006) J. Mech. Phys. Solids , vol.54 , pp. 735-755
    • Ahn, D.C.1    Sofronis, P.2    Minich, R.3
  • 3
    • 0036680501 scopus 로고    scopus 로고
    • Extended Sneddon and Muki solutions for multilayered elastic materials
    • Ai Z.Y., Yue Z.Q., Tham L.G., and Yang M. Extended Sneddon and Muki solutions for multilayered elastic materials. Int. J. Eng. Sci. 40 (2002) 1453-1483
    • (2002) Int. J. Eng. Sci. , vol.40 , pp. 1453-1483
    • Ai, Z.Y.1    Yue, Z.Q.2    Tham, L.G.3    Yang, M.4
  • 4
    • 34447266396 scopus 로고    scopus 로고
    • Bacon, D.J., Groves, P.P., 1969. The dislocation in a semi-infinite isotropic medium. In: Proceeding Washington Conference on Fundamental Aspects of Dislocation Theory, National Bureau of Standards, MD, April 21-25, pp. 35-45.
  • 5
    • 84983842677 scopus 로고
    • The mechanical interaction of a point defect with a surface layer
    • Bacon D.J. The mechanical interaction of a point defect with a surface layer. Phys. Stat. Sol. B 50 (1972) 607-617
    • (1972) Phys. Stat. Sol. B , vol.50 , pp. 607-617
    • Bacon, D.J.1
  • 6
    • 0023242156 scopus 로고
    • Three-dimensional elastostatics of a layer and a layered medium
    • Benitez F.G., and Rosakis A.J. Three-dimensional elastostatics of a layer and a layered medium. J. Elasticity 18 (1987) 3-50
    • (1987) J. Elasticity , vol.18 , pp. 3-50
    • Benitez, F.G.1    Rosakis, A.J.2
  • 8
    • 0001789974 scopus 로고
    • The general theory of stresses and displacements in layered systems I
    • Burmister D.M. The general theory of stresses and displacements in layered systems I. J. Appl. Phys. 16 (1945) 89-96
    • (1945) J. Appl. Phys. , vol.16 , pp. 89-96
    • Burmister, D.M.1
  • 9
    • 36849138623 scopus 로고
    • The general theory of stresses and displacements in layered systems II
    • Burmister D.M. The general theory of stresses and displacements in layered systems II. J. Appl. Phys. 16 (1945) 126-127
    • (1945) J. Appl. Phys. , vol.16 , pp. 126-127
    • Burmister, D.M.1
  • 10
    • 0001789974 scopus 로고
    • The general theory of stresses and displacements in layered systems III
    • Burmister D.M. The general theory of stresses and displacements in layered systems III. J. Appl. Phys. 16 (1945) 293-302
    • (1945) J. Appl. Phys. , vol.16 , pp. 293-302
    • Burmister, D.M.1
  • 11
    • 0015126049 scopus 로고
    • Computation of stresses and displacements in a layered elastic medium
    • Chen W.T. Computation of stresses and displacements in a layered elastic medium. Int. J. Eng. Sci. 9 (1971) 775-800
    • (1971) Int. J. Eng. Sci. , vol.9 , pp. 775-800
    • Chen, W.T.1
  • 12
    • 0020115447 scopus 로고
    • Screw dislocation in a two-phase isotropic thin film
    • Chu S.N.G. Screw dislocation in a two-phase isotropic thin film. J. Appl. Phys. 53 (1982) 3019-3023
    • (1982) J. Appl. Phys. , vol.53 , pp. 3019-3023
    • Chu, S.N.G.1
  • 13
    • 14844349817 scopus 로고    scopus 로고
    • Stress concentration tensors of Inhomogeneities with interface effects
    • Duan H.L., Wang J., Huang Z.P., and Luo Z.Y. Stress concentration tensors of Inhomogeneities with interface effects. Mech. Mater. 37 (2005) 723-736
    • (2005) Mech. Mater. , vol.37 , pp. 723-736
    • Duan, H.L.1    Wang, J.2    Huang, Z.P.3    Luo, Z.Y.4
  • 14
    • 0005041065 scopus 로고
    • Center of dilatation and thermal stresses in joined elastic half-space
    • Pergamon Press, Oxford
    • Dundurs J., and Guell D.L. Center of dilatation and thermal stresses in joined elastic half-space. Developments in Theoretical and Applied Mechanics vol. 2 (1965), Pergamon Press, Oxford 199-211
    • (1965) Developments in Theoretical and Applied Mechanics , vol.2 , pp. 199-211
    • Dundurs, J.1    Guell, D.L.2
  • 15
    • 0001684840 scopus 로고
    • Behavior of an edge dislocation near a bimetallic interface
    • Dundurs J., and Sendeckyj G.P. Behavior of an edge dislocation near a bimetallic interface. J. Appl. Phys. 36 (1965) 3353-3354
    • (1965) J. Appl. Phys. , vol.36 , pp. 3353-3354
    • Dundurs, J.1    Sendeckyj, G.P.2
  • 16
    • 34447288916 scopus 로고
    • Elastic interaction of a point defect with a surface layer
    • Eringen A.C. (Ed), Gordon and Breach, New York
    • Dundurs J., and Stippes M. Elastic interaction of a point defect with a surface layer. In: Eringen A.C. (Ed). Recent Advances in Engr. Sci Vol. 3 (1966), Gordon and Breach, New York 323-336
    • (1966) Recent Advances in Engr. Sci , vol.3 , pp. 323-336
    • Dundurs, J.1    Stippes, M.2
  • 17
    • 0001509497 scopus 로고
    • Boundary problems
    • Nabarro F.R.N. (Ed), North-Holland, New York
    • Eshelby J.D. Boundary problems. In: Nabarro F.R.N. (Ed). Dislocations in Solids vol. 1 (1979), North-Holland, New York 169-221
    • (1979) Dislocations in Solids , vol.1 , pp. 169-221
    • Eshelby, J.D.1
  • 18
    • 0019187449 scopus 로고
    • Effect of grain boundary sliding on an elasticity of polycrystals
    • Ghahremani F. Effect of grain boundary sliding on an elasticity of polycrystals. Int. J. Solids Struct. 16 (1980) 825-845
    • (1980) Int. J. Solids Struct. , vol.16 , pp. 825-845
    • Ghahremani, F.1
  • 19
    • 0000654202 scopus 로고
    • On the integration of the thermoelastic equations
    • Goodier J.N. On the integration of the thermoelastic equations. Phil. Mag. 23 (1937) 1017-1032
    • (1937) Phil. Mag. , vol.23 , pp. 1017-1032
    • Goodier, J.N.1
  • 21
    • 0026173168 scopus 로고
    • The spherical inclusion with imperfect interface
    • Hashin Z. The spherical inclusion with imperfect interface. J. Appl. Mech. 58 (1991) 444-449
    • (1991) J. Appl. Mech. , vol.58 , pp. 444-449
    • Hashin, Z.1
  • 22
    • 0001873777 scopus 로고
    • The Interaction of dislocations and boundaries
    • Head A.K. The Interaction of dislocations and boundaries. Phil. Mag. 44 (1953) 92-94
    • (1953) Phil. Mag. , vol.44 , pp. 92-94
    • Head, A.K.1
  • 23
    • 2442449971 scopus 로고
    • Edge dislocations in inhomogeneous media
    • Head A.K. Edge dislocations in inhomogeneous media. Proc. R. Soc. Lond. B66 (1953) 793-801
    • (1953) Proc. R. Soc. Lond. , vol.B66 , pp. 793-801
    • Head, A.K.1
  • 24
    • 0015575346 scopus 로고
    • Edge dislocation in a surface layer
    • Lee M.S., and Dundurs J. Edge dislocation in a surface layer. Int. J. Eng. Sci. 11 (1973) 87-94
    • (1973) Int. J. Eng. Sci. , vol.11 , pp. 87-94
    • Lee, M.S.1    Dundurs, J.2
  • 25
    • 0026908817 scopus 로고
    • A concentrated force inside a thick plate
    • Ling C.B. A concentrated force inside a thick plate. Int. J. Eng. Sci. 30 (1992) 1073-1081
    • (1992) Int. J. Eng. Sci. , vol.30 , pp. 1073-1081
    • Ling, C.B.1
  • 26
    • 33746724267 scopus 로고    scopus 로고
    • Composites with imperfect interface
    • Lipton R., and Vernescu B. Composites with imperfect interface. Proc. R. Soc. Lond. A 452 (1996) 329-358
    • (1996) Proc. R. Soc. Lond. A , vol.452 , pp. 329-358
    • Lipton, R.1    Vernescu, B.2
  • 27
    • 34447283495 scopus 로고    scopus 로고
    • Lord Kelvin (Thompson W.), 1848. Note on the integration of the equations of equilibrium of an elastic solid. Cambridge and Dublin Mathematical Journal, 3, 87-89.
  • 28
    • 36849129839 scopus 로고
    • Force at a point in the interior of a semi-infinite solid
    • Mindlin R.D. Force at a point in the interior of a semi-infinite solid. Physics 7 (1936) 195-202
    • (1936) Physics , vol.7 , pp. 195-202
    • Mindlin, R.D.1
  • 29
    • 0001248641 scopus 로고
    • Nuclei of strain in the semi-infinite solid
    • Mindlin R.D., and Cheng D.H. Nuclei of strain in the semi-infinite solid. J. Appl. Phys. 21 (1950) 926-930
    • (1950) J. Appl. Phys. , vol.21 , pp. 926-930
    • Mindlin, R.D.1    Cheng, D.H.2
  • 30
    • 0001248642 scopus 로고
    • Thermoelastic stress in the semi-infinite solid
    • Mindlin R.D., and Cheng D.H. Thermoelastic stress in the semi-infinite solid. J. Appl. Phys. 21 (1950) 931-933
    • (1950) J. Appl. Phys. , vol.21 , pp. 931-933
    • Mindlin, R.D.1    Cheng, D.H.2
  • 31
    • 0002302054 scopus 로고
    • The continuous theory of dislocations
    • Herman H. (Ed), Interscience, New York
    • Mura T. The continuous theory of dislocations. In: Herman H. (Ed). Advances in Materials Research vol. 3 (1968), Interscience, New York 1-108
    • (1968) Advances in Materials Research , vol.3 , pp. 1-108
    • Mura, T.1
  • 32
    • 0021441939 scopus 로고
    • The elastic inclusion with a sliding interface
    • Mura T., and Furuhashi R. The elastic inclusion with a sliding interface. J. Appl. Mech. 51 (1984) 308-310
    • (1984) J. Appl. Mech. , vol.51 , pp. 308-310
    • Mura, T.1    Furuhashi, R.2
  • 33
    • 0001150462 scopus 로고
    • The synthesis of elastic dislocation fields
    • Nabarro F.R.N. The synthesis of elastic dislocation fields. Phil. Mag. 42 (1951) 1224-1231
    • (1951) Phil. Mag. , vol.42 , pp. 1224-1231
    • Nabarro, F.R.N.1
  • 34
    • 0031207919 scopus 로고    scopus 로고
    • Static Green's functions in multilayered half spaces
    • Pan E. Static Green's functions in multilayered half spaces. Appl. Math. Model. 21 (1997) 509-521
    • (1997) Appl. Math. Model. , vol.21 , pp. 509-521
    • Pan, E.1
  • 35
    • 0037362064 scopus 로고    scopus 로고
    • Three-dimensional Green's functions in anisotropic elastic bimaterials with imperfect interfaces
    • Pan E. Three-dimensional Green's functions in anisotropic elastic bimaterials with imperfect interfaces. J. Appl. Mech. 70 (2003) 180-190
    • (2003) J. Appl. Mech. , vol.70 , pp. 180-190
    • Pan, E.1
  • 37
    • 0034511420 scopus 로고    scopus 로고
    • Analysis of internal stress in an elliptic inclusion with imperfect interface in plane elasticity
    • Shen H., Schiavone P., Ru C.Q., and Mioduchowski A. Analysis of internal stress in an elliptic inclusion with imperfect interface in plane elasticity. Math. Mech. Solids 5 (2000) 501-521
    • (2000) Math. Mech. Solids , vol.5 , pp. 501-521
    • Shen, H.1    Schiavone, P.2    Ru, C.Q.3    Mioduchowski, A.4
  • 38
    • 33744827441 scopus 로고    scopus 로고
    • Skarlatos, D., Tsouroutas, P., Vamvakas, V.E., Tsamis, C., 2006. Nonconservative Ostwald ripening of a dislocation loop layer under inert nitrogen-rich SiO2/Si interfaces. J Appl. Phys. 99, 103507 1-9.
  • 40
    • 0023433462 scopus 로고
    • Green functions for the biharmonic equation: bonded elastic media
    • Vijayakumar S., and Cormack D.E. Green functions for the biharmonic equation: bonded elastic media. SIAM J. Appl. Math. 47 (1987) 982-997
    • (1987) SIAM J. Appl. Math. , vol.47 , pp. 982-997
    • Vijayakumar, S.1    Cormack, D.E.2
  • 41
    • 0023273218 scopus 로고
    • Nuclei of strain for bi-material elastic media with sliding interface
    • Vijayakumar S., and Cormack D.E. Nuclei of strain for bi-material elastic media with sliding interface. J. Elasticity 17 (1987) 285-290
    • (1987) J. Elasticity , vol.17 , pp. 285-290
    • Vijayakumar, S.1    Cormack, D.E.2
  • 42
    • 0033243390 scopus 로고    scopus 로고
    • Screw dislocations in a two-phase plate and a sandwich specimen
    • Wang S.D. Screw dislocations in a two-phase plate and a sandwich specimen. Phys. Stat. Sol. (b) 215 (1999) 933-948
    • (1999) Phys. Stat. Sol. (b) , vol.215 , pp. 933-948
    • Wang, S.D.1
  • 43
    • 0037701178 scopus 로고
    • Exact analysis of an edge dislocation near a surface layer
    • Weeks R., Dundurs J., and Stippes M. Exact analysis of an edge dislocation near a surface layer. Int. J. Eng. Sci. 6 (1968) 365-372
    • (1968) Int. J. Eng. Sci. , vol.6 , pp. 365-372
    • Weeks, R.1    Dundurs, J.2    Stippes, M.3
  • 44
    • 0031628257 scopus 로고    scopus 로고
    • A new dislocation-like model for imperfect interfaces and their effect on load transfer
    • Yu H.Y. A new dislocation-like model for imperfect interfaces and their effect on load transfer. Composites A 29 (1998) 1057-1062
    • (1998) Composites A , vol.29 , pp. 1057-1062
    • Yu, H.Y.1
  • 45
    • 0000122808 scopus 로고
    • Elastic fields in joined half-spaces due to nuclei of strain
    • Yu H.Y., and Sanday S.C. Elastic fields in joined half-spaces due to nuclei of strain. Proc. R. Soc. Lond. A 434 (1991) 503-519
    • (1991) Proc. R. Soc. Lond. A , vol.434 , pp. 503-519
    • Yu, H.Y.1    Sanday, S.C.2
  • 46
    • 0026367143 scopus 로고
    • Dislocations in bimaterials
    • Yu H.Y., and Sanday S.C. Dislocations in bimaterials. Phil. Mag. 64 (1991) 1225-1237
    • (1991) Phil. Mag. , vol.64 , pp. 1225-1237
    • Yu, H.Y.1    Sanday, S.C.2
  • 47
    • 0005077694 scopus 로고
    • Center of dilatation and thermal stresses in an elastic plate
    • Yu H.Y., and Sanday S.C. Center of dilatation and thermal stresses in an elastic plate. Proc. R. Soc. Lond. A 438 (1992) 103-112
    • (1992) Proc. R. Soc. Lond. A , vol.438 , pp. 103-112
    • Yu, H.Y.1    Sanday, S.C.2
  • 48
    • 0000418574 scopus 로고
    • Elastic field in a plane-layered elastic solid due to center of dilatation and thermal inhomogeneity
    • Yu H.Y., and Sanday S.C. Elastic field in a plane-layered elastic solid due to center of dilatation and thermal inhomogeneity. J. Mech. Phys. Solids 41 (1993) 267-296
    • (1993) J. Mech. Phys. Solids , vol.41 , pp. 267-296
    • Yu, H.Y.1    Sanday, S.C.2
  • 49
    • 21844514458 scopus 로고
    • Dislocations and disclinations in transversely isotropic solids
    • Yu H.Y., and Sanday S.C. Dislocations and disclinations in transversely isotropic solids. Phil. Mag. 70 (1994) 725-738
    • (1994) Phil. Mag. , vol.70 , pp. 725-738
    • Yu, H.Y.1    Sanday, S.C.2
  • 50
    • 0000116236 scopus 로고
    • Thermoelastic stresses in bimaterials
    • Yu H.Y., Sanday S.C., and Rath B.B. Thermoelastic stresses in bimaterials. Phil. Mag. A65 (1992) 1049-1064
    • (1992) Phil. Mag. , vol.A65 , pp. 1049-1064
    • Yu, H.Y.1    Sanday, S.C.2    Rath, B.B.3
  • 51
    • 0342559439 scopus 로고    scopus 로고
    • Elastic force on a point defect in or near a surface layer
    • Yu H.Y., Sanday S.C., and Bacon D.J. Elastic force on a point defect in or near a surface layer. J. Appl. Mech. 63 (1996) 1042-1045
    • (1996) J. Appl. Mech. , vol.63 , pp. 1042-1045
    • Yu, H.Y.1    Sanday, S.C.2    Bacon, D.J.3
  • 52
    • 0036683534 scopus 로고    scopus 로고
    • Load transfer at imperfect interfaces - dislocation-like model
    • Yu H.Y., Wei Y.N., and Chiang F.P. Load transfer at imperfect interfaces - dislocation-like model. Int. J. Eng. Sci. 40 (2002) 1647-1662
    • (2002) Int. J. Eng. Sci. , vol.40 , pp. 1647-1662
    • Yu, H.Y.1    Wei, Y.N.2    Chiang, F.P.3
  • 53
    • 0030211936 scopus 로고    scopus 로고
    • On elastostatics of multilayered solids subjected to general surface traction
    • Yue Z.Q. On elastostatics of multilayered solids subjected to general surface traction. Q. J. Mech. Appl. Math. 49 (1996) 471-499
    • (1996) Q. J. Mech. Appl. Math. , vol.49 , pp. 471-499
    • Yue, Z.Q.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.