Explicit expression of derivatives of elastic Green's functions for general anisotropic materials

Mechanics Research Communications

Volumn 30, Issue 3, 2003, Pages 241-249

  Lee, Ven Gen ^a  

^a NATIONAL CHI NAN UNIVERSITY   (Taiwan)

Author keywords

Anisotropic materials; Derivatives; Green's functions; Stroh eigenrelation

Indexed keywords

ANISOTROPY; EIGENVALUES AND EIGENFUNCTIONS; FOURIER TRANSFORMS; GREEN'S FUNCTION; INTEGRAL EQUATIONS; STIFFNESS;

ANISOTROPIC MATERIALS; STROH EIGENRELATIONS;

ELASTICITY;

EID: 0037401428     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0093-6413(03)00007-7     Document Type: Article

References (8)

1. Barnett, D.M., 1972. The precise evaluation of derivatives of the anisotropic elastic Green's functions. Phys. Stat. Sol. (b) 49, 741-748.
2. Chen, T., Lin, F.Z., 2001. Numerical evaluation of derivatives of the anisotropic piezoelectric Green's functions. Mech. Res. Commun. 20 (6), 501-506.
3. Eshelby, ID., Read, W.T., Shockley, W., 1953. Anisotropic elasticity with applications to dislocation theory. Acta Metall. 1, 251-259.
4. Lee, V.G., 2002. Evaluation of the three-dimensional elastic Green's function in anisotropic cubic media. Int. J. Eng. Sci. 40, 1349-1361.
5. Mura, T., 1987. Micromechanics of Defects in Solids. Martinus Nijhoff Publishers.
6. Steed, J.W., 1973. Introduction to Anisotropic Elasticity Theory of Dislocations, p. 245 Clarendon Press, Oxford.
7. Synge, J.L., 1957. The Hypercircle in Mathematical Physics. Cambridge University Press, Cambridge.
8. Ting, T.C.T., Lee, V.G., 1997. The three-dimensional elastostatic Green's function for general anisotropic linear elastic solids. Quart. J. Mech. Appl. Math. 50 Part 3, 407-426.