Thermoelectroelastic Green's function for thermal load inside or on the boundary of an elliptic inclusion

Mechanics of Materials

Volumn 31, Issue 10, 1999, Pages 611-626

  Qin, Qing Hua ^a  

^a UNIVERSITY OF SYDNEY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

CONFORMAL MAPPING; CRACKS; DISSIMILAR MATERIALS; INCLUSIONS; INTEGRAL EQUATIONS; PIEZOELECTRIC MATERIALS; PIEZOELECTRICITY; STRESS INTENSITY FACTORS; THERMAL STRESS; THERMOELASTICITY;

THERMOELECTROELASTICITY;

PLATES (STRUCTURAL COMPONENTS);

EID: 0032597974     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6636(99)00022-8     Document Type: Article

References (25)

1. Benveniste Y. The determination of the elastic and elastic fields in a piezoelectric inhomogeneity. J. Appl. Phys. 72:1992;1086-1095.
2. Chen T. Green's functions and the non-uniform transformation problem in a piezoelectric medium. Mech. Res. Comm. 20:1993;271-278.
3. Deeg, W.F., 1980. The analysis of dislocation, crack, and inclusion problems in piezoelectric solids, Ph.D. dissertation, Stanford University.
4. Dundurs J., Comminou M. Green's functions for planer thermoelastic contact problems-exterior contact. Mech. Res. Comm. 6:1979;309-316.
5. Dunn M.L. Electroelastic Green's functions for transversely isotropic piezoelectric media and their application to the solution of inclusion and inhomogeneity problems. Int. J. Eng. Sci. 32:1994;119-131.
6. Dunn M.L., Wienecke H.A. Green's functions for transversely isotropic piezoelectric solids. Int. J. Solids Struct. 33:1996;4571-4581.
7. Erdogan F., Gupta G.D. On the numerical solution of singular integral equations. Q. Appl. Math. 32:1972;525-534.
8. Gong S.X., Meguid S.A. Interacting circular inhomogeneities in plane elastostatics. Acta Mechanica. 99:1993;49-60.
9. Hwu C., Yen W.J. Green's functions of two-dimensional anisotropic plates containing an elliptic hole. Int. J. Solids Struct. 27:1991;1705-1719.
10. Hwu C., Yen W.J. On the anisotropic elastic inclusions in plane elastostatics. J. Appl. Mech. 60:1993;626-632.
11. Lee J.S., Jiang L.Z. A boundary integral formulation and two-dimensional fundamental solution for piezoelectricmedia. Mech. Res. Comm. 21:1994;47-54.
12. Lekhnitskii, S.G., 1968. Anisotropic Plates. Gordon and Breach, New York.
13. Lin W., Keer L.M. Three-dimensional analysis of cracks in layered transversely isotropic media. Proc. R. Soc. Lond A. 424:1989;307-322.
14. Mura, T., 1982. Micromechanics of Defects in Solids, Martinus Nijhoff, Boston.
15. Oden J.T., Kelley B.E. Finite element formulation of general electrothermo-elasticity problems. Int. J. Numer. Meth. Eng. 3:1971;161-179.
16. Qin Q.H. Thermoelectroelastic Green's function for a piezoelectric plate containing an elliptic hole. Mech. Mater. 30:1998;21-29.
17. Qin Q.H. Thermoelectroelastic analysis of cracks in piezoelectric half-plane by BEM. Comput. Mech. 23:1999;353-360.
18. Qin Q.H., Mai Y.W. Thermoelectroelastic Green's function and its application for bimaterial of piezoelectric materials. Arch. Appl. Mech. 68:1998;433-444.
19. Stagni L. On the elastic field perturbation by inhomogeneous in plane elasticity. ZAMP. 33:1982;313-325.
20. Sturla F.A., Barber J.R. Thermal stresses due to a plane crack in general anisotropic material. J. Appl. Mech. 55:1988;372-376.
21. Suo Z. Singularities, interfaces and cracks in dissimilar anisotropic media. Proc. R. Soc. Lond A. 427:1990;331-358.
22. Ting T.C.T. Image singularities of Green's functions for anisotropic elastic half-space and bimaterials. Q. J. Mech. Appl. Math. 45:1992;119-139.
23. Ting T.C.T. Green's functions for an anisotropic elliptic inclusion under generalized plane strain deformations. Q. J. Mech. Appl. Math. 49:1996;1-18.
24. Willis J.R. Fracture mechanics of interfacial cracks. J. Mech. Phys. Solids. 19:1971;353-368.
25. Yen W.J., Hwu C., Liang Y.K. Dislocation inside, outside or on the interface of an anisotropic elliptical inclusion. J. Appl. Mech. 1995;306-311.