On linking n-dimensional anisotropic and isotropic Green's functions for infinite space, half-space, bimaterial, and multilayer for conduction

International Journal of Solids and Structures

Volumn 42, Issue 14, 2005, Pages 4099-4114

  Chen, Tungyang ^a   Kuo, Hsin Yi ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; ELASTICITY; HEAT CONDUCTION; HEAT FLUX; INTEGRAL EQUATIONS; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PIEZOELECTRICITY; SHEAR DEFORMATION;

ALGEBRAIC CONSTRAINTS; ISOTROPIC BIMATERIALS; MULTILAYERED SPACE; ORTHOTROPIC SHAFTS;

GREEN'S FUNCTION;

EID: 13844306829     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2004.12.016     Document Type: Article

References (16)

1. J.R. Berger, J.L. Skilowitz, and V.K. Tewary Green's function for steady-state heat conduction in a bimaterial composite solid Comput. Mech. 25 2000 627 633
2. H.S. Carslaw, and J.C. Jaeger Conduction of Heat in Solids 1959 Clarendon Press Oxford
3. Y.P. Chang Analytic solution for heat conduction in anisotropic media in infinite, semi-infinite, and two-plane-bounded regions Int. J. Heat Mass Transfer 20 1977 1019 1028
4. T. Chen Green's functions and the non-uniform transformation problem in a piezoelectric medium Mech. Res. Commun. 20 1993 271 278
5. J.A. DeSanto Scalar Wave Theory-Green's Functions and Applications 1992 Springer-Verlag New York
6. M.D. Greenberg Application of Green's Functions in Science and Engineering 1971 Prentice-Hall New Jersey
7. C.O. Horgan, and K.L. Miller Antiplane shear deformations for homogeneous and inhomogeneous anisotropic linearly elastic solids J. Appl. Mech. 61 1994 23 29
8. R.A. Horn, and C.R. Johnson Matrix Analysis 1985 Cambridge University Press Cambridge
9. F. John Partial Differential Equations 1982 Springer-Verlag New York
10. H.-Y. Kuo, and T. Chen Steady and transient Green's functions for anisotropic conduction in an exponentially graded solid Int. J. Solids Struct. 42 2005 1111 1128
11. C.C. Ma, and S.W. Chang Analytical exact solutions of heat conduction problems for anisotropic multi-layered media Int. J. Heat Mass Transfer 47 2004 1643 1655
12. G.W. Milton The Theory of Composites 2002 Cambridge University Press Cambridge
13. A.N. Norris Dynamic Green's functions in anisotropic piezoelectric, thermoelastic and poroelastic solids Proc. R. Soc. London A 447 1994 175 188
14. M.N. Özişik Heat Conduction second ed. 1993 John Wiley & Sons, Inc. New York
15. I.S. Sokolnikoff Mathematical Theory of Elasticity 1956 McGraw-Hill New York
16. T.C.T. Ting Anisotropic Elasticity: Theory and Applications 1996 Oxford University Press Oxford