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Volumn 49, Issue 3, 2004, Pages 289-304

Elastostatic Green's function for advanced materials subject to surface loading

Author keywords

Boussinesq problem; Carbon fiber composite; Elastic anisotropy; Elastostatic Green's functions; Silicon

Indexed keywords

ANISOTROPY; CARBON FIBERS; ELASTICITY; GREEN'S FUNCTION; NANOSTRUCTURED MATERIALS; SEMICONDUCTOR MATERIALS; STRESS ANALYSIS; BOUNDARY ELEMENT METHOD; NUMERICAL ANALYSIS; PROBLEM SOLVING; SINGLE CRYSTALS;

EID: 3142739624     PISSN: 00220833     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:ENGI.0000031191.64358.a8     Document Type: Article
Times cited : (22)

References (57)
  • 2
    • 3442887383 scopus 로고    scopus 로고
    • Nanoindentation of silicon and structural transformation: Three-dimensional contact theory
    • article number 233302
    • M. Hebbache and M. Zemzemi, Nanoindentation of silicon and structural transformation: Three-dimensional contact theory. Phys. Rev. B 67 (2003) article number 233302.
    • (2003) Phys. Rev. B , vol.67
    • Hebbache, M.1    Zemzemi, M.2
  • 4
    • 0030172729 scopus 로고    scopus 로고
    • Determination of elastic constants of anisotropic solids from elastodynamic Green's Functions
    • A.G. Every and K.Y. Kim, Determination of elastic constants of anisotropic solids from elastodynamic Green's Functions. Ultrasonics 34 (1996) 471-472.
    • (1996) Ultrasonics , vol.34 , pp. 471-472
    • Every, A.G.1    Kim, K.Y.2
  • 5
    • 0027576223 scopus 로고
    • Green-function calculation of effective elastic constants of polycrystalline materials
    • T. Dutta, T.K. Ballabh and T.R. Middya, Green-Function calculation of effective elastic constants of polycrystalline materials. J. Phys. D-Appl. Phys. 26 (1993) 667-675.
    • (1993) J. Phys. D-Appl. Phys. , vol.26 , pp. 667-675
    • Dutta, T.1    Ballabh, T.K.2    Middya, T.R.3
  • 6
    • 0032142120 scopus 로고    scopus 로고
    • Elastic fields of stationary and moving dislocations in finite samples
    • R. Arias, Elastic fields of stationary and moving dislocations in finite samples. Phil. Mag. B 78 (1998) 109-113.
    • (1998) Phil. Mag. B , vol.78 , pp. 109-113
    • Arias, R.1
  • 7
    • 0001522315 scopus 로고
    • Image force on line dislocations in anisotropic elastic half-spaces with a fixed boundary
    • T.C.T. Ting and D.M. Barnett, Image force on line dislocations in anisotropic elastic half-spaces with a fixed boundary. Int. J. Solids Struct. 30 (1993) 313-323.
    • (1993) Int. J. Solids Struct. , vol.30 , pp. 313-323
    • Ting, T.C.T.1    Barnett, D.M.2
  • 8
    • 0003531591 scopus 로고
    • Malabar, Florida: Kreiger Publishing Company
    • J.P.Hirth and J. Lothe, Theory of Dislocations. Malabar, Florida: Kreiger Publishing Company (1992) 857pp.
    • (1992) Theory of Dislocations , pp. 857
    • Hirth, J.P.1    Lothe, J.2
  • 9
    • 2142758724 scopus 로고    scopus 로고
    • Multiscale Green's-function method for modeling point defects and extended defects in anisotropic solids: Application to a vacancy and free surface in copper
    • article number 094109
    • V.K. Tewary, Multiscale Green's-function method for modeling point defects and extended defects in anisotropic solids: application to a vacancy and free surface in copper. Phys. Rev. B (2004) article number 094109.
    • (2004) Phys. Rev. B
    • Tewary, V.K.1
  • 12
    • 0031206966 scopus 로고    scopus 로고
    • The three-dimensional elastostatic Green's function for general anisotropic linear elastic solids
    • T.C.T. Ting and V.G. Lee, The three-dimensional elastostatic Green's function for general anisotropic linear elastic solids. Q. J. Mech. Appl. Math. 50 (1997) 407-426.
    • (1997) Q. J. Mech. Appl. Math. , vol.50 , pp. 407-426
    • Ting, T.C.T.1    Lee, V.G.2
  • 13
    • 84983834461 scopus 로고
    • The precise evaluation of derivatives of the anisotropic elastic Green's functions
    • D.M. Barnett, The precise evaluation of derivatives of the anisotropic elastic Green's functions. Physica Status Solidi (b) 49 (1972) 741-748.
    • (1972) Physica Status Solidi (b) , vol.49 , pp. 741-748
    • Barnett, D.M.1
  • 14
    • 0020786884 scopus 로고
    • Boundary value problems using elastic Green's functions
    • Netherlands
    • J.W. Deutz and H.R. Schober, Boundary value problems using elastic Green's functions. Comp. Phys. Comm. (Netherlands) 30 (1983) 87-91.
    • (1983) Comp. Phys. Comm. , vol.30 , pp. 87-91
    • Deutz, J.W.1    Schober, H.R.2
  • 15
    • 0023420003 scopus 로고
    • A new method for numerical calculations in anisotropic elasticity problems
    • S.A. Gunderson and J. Lothe, A new method for numerical calculations in anisotropic elasticity problems. Physica Status Solidi (b) 143 (1987) 73-85.
    • (1987) Physica Status Solidi (b) , vol.143 , pp. 73-85
    • Gunderson, S.A.1    Lothe, J.2
  • 16
    • 0029505502 scopus 로고
    • Efficient method for computing green's functions for a layered half-space with sources and receivers at close depths
    • Y. Hisada, Efficient method for computing green's functions for a layered half-space with sources and receivers at close depths. Bull. Seismolog. Soc. Am. 85 (1995) 1525-1526.
    • (1995) Bull. Seismolog. Soc. Am. , vol.85 , pp. 1525-1526
    • Hisada, Y.1
  • 17
    • 0031207919 scopus 로고    scopus 로고
    • Static Green's functions in multilayered half spaces
    • E. Pan, Static green's functions in multilayered half spaces. Appl. Math. Modell. 21 (1997) 509-521.
    • (1997) Appl. Math. Modell. , vol.21 , pp. 509-521
    • Pan, E.1
  • 18
    • 0030081221 scopus 로고    scopus 로고
    • Green's functions for an anisotropic elliptic inclusion under generalized plane strain deformations
    • T.C.T. Ting, Green's functions for an anisotropic elliptic inclusion under generalized plane strain deformations. Q. J. Mech. Appl. Math. 49 (1996) 1-18.
    • (1996) Q. J. Mech. Appl. Math. , vol.49 , pp. 1-18
    • Ting, T.C.T.1
  • 19
    • 0033691716 scopus 로고    scopus 로고
    • Three-dimensional Green's functions in anisotropic bimaterials
    • E. Pan and F.G. Yuan, Three-dimensional Green's functions in anisotropic bimaterials. Int. J. Solids Struct. 37 (2000) 5329-5351.
    • (2000) Int. J. Solids Struct. , vol.37 , pp. 5329-5351
    • Pan, E.1    Yuan, F.G.2
  • 20
    • 0028517619 scopus 로고
    • 2-Dimensional elastostatic Green's Functions for general anisotropic solids and generalization of Stroh's Formalism
    • C.Y. Wang, 2-Dimensional elastostatic Green's Functions for general anisotropic solids and generalization of Stroh's Formalism. Int. J. Solids and Struct. 31 (1994) 2591-2597.
    • (1994) Int. J. Solids and Struct. , vol.31 , pp. 2591-2597
    • Wang, C.Y.1
  • 21
    • 0027696105 scopus 로고
    • A new method to obtain 3-D Green's functions for anisotropic solids
    • C.Y. Wang and J.D. Achenbach, A new method to obtain 3-D Green's functions for anisotropic solids. Wave Motion 18 (1993) 273-289.
    • (1993) Wave Motion , vol.18 , pp. 273-289
    • Wang, C.Y.1    Achenbach, J.D.2
  • 22
    • 0031191165 scopus 로고    scopus 로고
    • Elastic fields produced by a point source in solids of general anisotropy
    • C.Y. Wang, Elastic fields produced by a point source in solids of general anisotropy. J. Engng. Math. 32 (1997) 41-52.
    • (1997) J. Engng. Math. , vol.32 , pp. 41-52
    • Wang, C.Y.1
  • 23
    • 0000401692 scopus 로고
    • Self-similar problems in elastodynamics
    • J.R. Willis, Self-similar problems in elastodynamics. Phil. Trans. R. Soc. A274 (1973) 435-491.
    • (1973) Phil. Trans. R. Soc. , vol.A274 , pp. 435-491
    • Willis, J.R.1
  • 25
    • 0035894193 scopus 로고    scopus 로고
    • Elastostatic fields in an anisotropic substrate due to a buried quantum dot
    • E. Pan and B. Yang, Elastostatic fields in an anisotropic substrate due to a buried quantum dot. J. Appl. Phys. 90 (2001) 6190-6196.
    • (2001) J. Appl. Phys. , vol.90 , pp. 6190-6196
    • Pan, E.1    Yang, B.2
  • 26
    • 0037236186 scopus 로고    scopus 로고
    • Three-dimensional Green's functions in an anisotropic half space with general boundary conditions
    • E. Pan, Three-dimensional Green's functions in an anisotropic half space with general boundary conditions. J. Appl. Mech.-Trans. ASME 70 (2003) 101-110.
    • (2003) J. Appl. Mech.-Trans. ASME , vol.70 , pp. 101-110
    • Pan, E.1
  • 27
    • 0001172282 scopus 로고
    • Fourier integral representation of the Green function for an anisotropic elastic half-space
    • K.P. Walker, Fourier integral representation of the Green function for an anisotropic elastic half-space. Proc. R. Soc., London A 443 (1993) 367-389.
    • (1993) Proc. R. Soc., London A , vol.443 , pp. 367-389
    • Walker, K.P.1
  • 28
    • 0344307519 scopus 로고    scopus 로고
    • Formation of a surface quantum dot near laterally and vertically neighboring dots
    • article number 035301
    • B. Yang and V.K. Tewary, Formation of a surface quantum dot near laterally and vertically neighboring dots. Phys. Rev. B 68 (2003) article number 035301.
    • (2003) Phys. Rev. B , vol.68
    • Yang, B.1    Tewary, V.K.2
  • 29
    • 84977466608 scopus 로고
    • Green-functions for axisymmetrical problems of dissimilar elastic solids
    • H. Hasegawa, V.G. Lee and T. Mura, Green-functions for axisymmetrical problems of dissimilar elastic solids. J. Appl. Mech.-Trans. ASME 59 (1992) 312-320.
    • (1992) J. Appl. Mech.-Trans. ASME , vol.59 , pp. 312-320
    • Hasegawa, H.1    Lee, V.G.2    Mura, T.3
  • 30
    • 0027788672 scopus 로고
    • Greens-functions for transversely isotropic elastic half-space
    • R. Rajapakse and Y. Wang, Greens-functions for transversely isotropic elastic half-space. J. Engng. Mech.-ASCE 119 (1993) 1724-1746.
    • (1993) J. Engng. Mech.-ASCE , vol.119 , pp. 1724-1746
    • Rajapakse, R.1    Wang, Y.2
  • 31
    • 0342884536 scopus 로고
    • Fourier-transform solution of a boussinesq problem for a hexagonally aeolotropic elastic half-space
    • I.N. Sneddon, Fourier-transform solution of a boussinesq problem for a hexagonally aeolotropic elastic half-space. Q. J. Mech. Appl. Math. 45 (1992) 607-616.
    • (1992) Q. J. Mech. Appl. Math. , vol.45 , pp. 607-616
    • Sneddon, I.N.1
  • 32
    • 0012723104 scopus 로고
    • Elastic inclusions and inhomogeneities in transversely isotropic solids
    • H.Y. Yu, S.C. Sanday and C.I. Chang, Elastic inclusions and inhomogeneities in transversely isotropic solids. Proc. R. Soc. London A 444 (1994) 239-252.
    • (1994) Proc. R. Soc. London A , vol.444 , pp. 239-252
    • Yu, H.Y.1    Sanday, S.C.2    Chang, C.I.3
  • 33
    • 0030245842 scopus 로고    scopus 로고
    • Closed-form Green's functions for transversely isotropic bi-solids with a slipping interface
    • Z.Q. Yue, Closed-form Green's functions for transversely isotropic bi-solids with a slipping interface. Struct. Engng. Mech. 4 (1996) 469-484.
    • (1996) Struct. Engng. Mech. , vol.4 , pp. 469-484
    • Yue, Z.Q.1
  • 34
    • 0041494682 scopus 로고
    • Axisymmetrical stress-transfers from an embedded elastic cylindrical-shell to a half-space
    • R.Y.S. Pak and F. Ji, Axisymmetrical stress-transfers from an embedded elastic cylindrical-shell to a half-space. Proc. R. Soc. London A 441 (1993) 237-259.
    • (1993) Proc. R. Soc. London A , vol.441 , pp. 237-259
    • Pak, R.Y.S.1    Ji, F.2
  • 35
    • 0032186734 scopus 로고    scopus 로고
    • Evaluation of the anisotropic Green's function and its derivative
    • M.A. Sales and L.J. Gray, Evaluation of the anisotropic Green's function and its derivative. Comp. Struct. 69 (1998) 247-254.
    • (1998) Comp. Struct. , vol.69 , pp. 247-254
    • Sales, M.A.1    Gray, L.J.2
  • 36
    • 0017292543 scopus 로고
    • Point force solution for an infinite transversely isotropic solid
    • Y.C. Pan and T.W. Chou, Point force Solution for an infinite transversely isotropic solid. J. Appl. Mech.-Trans. ASME 43 (1976) 608-612.
    • (1976) J. Appl. Mech.-Trans. ASME , vol.43 , pp. 608-612
    • Pan, Y.C.1    Chou, T.W.2
  • 37
    • 0018310449 scopus 로고
    • Green's function solutions for semi-infinite transversely isotropic materials
    • Y.C. Pan and T.W. Chou, Green's function solutions for semi-infinite transversely isotropic materials. Int. J. Engng. Sci. 17 (1979) 545-551.
    • (1979) Int. J. Engng. Sci. , vol.17 , pp. 545-551
    • Pan, Y.C.1    Chou, T.W.2
  • 38
    • 0018517493 scopus 로고
    • Green's functions for two-phase transversely isotropic materials
    • Y.C. Pan and T.W. Chou, Green's functions for two-phase transversely isotropic materials. J. Appl. Mech.-Trans. ASME 46 (1979) 551-556.
    • (1979) J. Appl. Mech.-Trans. ASME , vol.46 , pp. 551-556
    • Pan, Y.C.1    Chou, T.W.2
  • 39
    • 0042766803 scopus 로고    scopus 로고
    • Displacements and stresses due to a vertical point load in an inhomogeneous transversely isotropic half-space
    • C.D. Wang, C.S. Tzeng, E. Pan, J.J. Liao, Displacements and stresses due to a vertical point load in an inhomogeneous transversely isotropic half-space. Int. J. Rock Mech. Mining Sci. 40 (2003) 667-685.
    • (2003) Int. J. Rock Mech. Mining Sci. , vol.40 , pp. 667-685
    • Wang, C.D.1    Tzeng, C.S.2    Pan, E.3    Liao, J.J.4
  • 40
    • 0002719460 scopus 로고
    • Line force loadings on anisotropic half-spaces and wedges
    • D.M. Barnett and J. Lothe, Line force loadings on anisotropic half-spaces and wedges. Physica Norvegica 8 (1975) 13-22.
    • (1975) Physica Norvegica , vol.8 , pp. 13-22
    • Barnett, D.M.1    Lothe, J.2
  • 41
    • 0021451964 scopus 로고
    • Some polynomial solutions for the non-axisymmetric boussinesq problem
    • J.R. Barber, Some polynomial solutions for the non-axisymmetric boussinesq problem. J. Elasticity 14 (1984) 217-221.
    • (1984) J. Elasticity , vol.14 , pp. 217-221
    • Barber, J.R.1
  • 42
    • 0034186949 scopus 로고    scopus 로고
    • Boundary element analysis of three-dimensional cracks in anisotropic solids
    • E. Pan and F.G. Yuan, Boundary element analysis of three-dimensional cracks in anisotropic solids. Int. J. Num. Meth. Engng. 48 (2000) 211-237.
    • (2000) Int. J. Num. Meth. Engng. , vol.48 , pp. 211-237
    • Pan, E.1    Yuan, F.G.2
  • 43
    • 0035254435 scopus 로고    scopus 로고
    • Green's functions and boundary element method formulation for 3D anisotropic media
    • F. Tonon, E. Pan and B. Amadei, Green's functions and boundary element method formulation for 3D anisotropic media. Comp. Struct. 79 (2001) 469-482.
    • (2001) Comp. Struct. , vol.79 , pp. 469-482
    • Tonon, F.1    Pan, E.2    Amadei, B.3
  • 44
    • 0022413466 scopus 로고
    • Discrete numerical-solution of the generalized Boussinesq problem
    • M. Gellert, Discrete numerical-solution of the generalized Boussinesq problem. Int. J. Num. Meth. Engng. 21 (1985) 2131-2144.
    • (1985) Int. J. Num. Meth. Engng. , vol.21 , pp. 2131-2144
    • Gellert, M.1
  • 45
    • 0000004666 scopus 로고
    • Hertzian contact of anisotropic bodies
    • J.R. Willis, Hertzian contact of anisotropic bodies. J. Mech. Phys. Solids 14 (1966) 163-176.
    • (1966) J. Mech. Phys. Solids , vol.14 , pp. 163-176
    • Willis, J.R.1
  • 46
    • 21844481872 scopus 로고
    • Displacement field of a point force acting on the surface of an elastically anisotropic half-space
    • A.G. Every, Displacement field of a point force acting on the surface of an elastically anisotropic half-space. J. Physics A 27 (1994) 7905-7914.
    • (1994) J. Physics A , vol.27 , pp. 7905-7914
    • Every, A.G.1
  • 47
    • 0041169113 scopus 로고
    • Computationally efficient representation for elastodynamic and elastostatic Green's functions for anisotropic solids
    • V.K. Tewary, Computationally efficient representation for elastodynamic and elastostatic Green's functions for anisotropic solids. Phys. Rev. B51 (1995) 15695-15702.
    • (1995) Phys. Rev. , vol.B51 , pp. 15695-15702
    • Tewary, V.K.1
  • 49
    • 0024302716 scopus 로고
    • Elastic Green's function for a composite solid with a planar interface
    • V.K. Tewary, R.H. Wagoner and J.P. Hirth, Elastic Green's function for a composite solid with a planar interface. J. Materials Res. 4 (1989) 113-123.
    • (1989) J. Materials Res. , vol.4 , pp. 113-123
    • Tewary, V.K.1    Wagoner, R.H.2    Hirth, J.P.3
  • 50
    • 0000717333 scopus 로고
    • Elastic Greens-function for a bimaterial composite solid, containing a free-surface normal to the interface
    • V.K. Tewary, Elastic Greens-function for a bimaterial composite solid, containing a free-surface normal to the interface. J. Materials Res. 6 (1991) 2592-2608.
    • (1991) J. Materials Res. , vol.6 , pp. 2592-2608
    • Tewary, V.K.1
  • 51
    • 0037403897 scopus 로고    scopus 로고
    • On Green's function for a biomaterial elastic half-plane
    • P.A. Martin, On Green's function for a biomaterial elastic half-plane. Int. J. Solids Struct. 40 (2003) 2101-2119.
    • (2003) Int. J. Solids Struct. , vol.40 , pp. 2101-2119
    • Martin, P.A.1
  • 53
    • 0029394233 scopus 로고
    • Partitioning, boundary integral equations, and exact Green's functions
    • P.A. Martin and F.J. Rizzo, Partitioning, boundary integral equations, and exact Green's functions. Int. J. Num. Meth. Engng. 38 (1995) 3483-3495.
    • (1995) Int. J. Num. Meth. Engng. , vol.38 , pp. 3483-3495
    • Martin, P.A.1    Rizzo, F.J.2
  • 54
    • 0029974049 scopus 로고    scopus 로고
    • Green's function for anisotropic half-space solids in frequency space and calculation of mechanical impedance
    • V.K. Tewary, M. Mahapatra and C.M. Fortunko, Green's function for anisotropic half-space solids in frequency space and calculation of mechanical impedance. J. Acoust. Soc. Am. 100 (1996) 2960-2963.
    • (1996) J. Acoust. Soc. Am. , vol.100 , pp. 2960-2963
    • Tewary, V.K.1    Mahapatra, M.2    Fortunko, C.M.3
  • 55
    • 0029487293 scopus 로고
    • Determination of all elastic constants of orthotropic plate specimens from group velocity data
    • K.Y. Kim, T. Ohtani, A.R. Baker and W. Sachse, Determination of all elastic constants of orthotropic plate specimens from group velocity data. Res. Nondestruct. Eval. 7 (1995) 13-29.
    • (1995) Res. Nondestruct. Eval. , vol.7 , pp. 13-29
    • Kim, K.Y.1    Ohtani, T.2    Baker, A.R.3    Sachse, W.4


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