Thermoelectroelastic Green's function and its application for bimaterial of piezoelectric materials

Archive of Applied Mechanics

Volumn 68, Issue 6, 1998, Pages 433-444

  Qin, Qing Hua ^a   Mai, Yiu Wing ^a  

^a UNIVERSITY OF SYDNEY   (Australia)

Author keywords

Bimaterial; Crack; Green function; Interface; Piezoelectric plate; Thermal stress

Indexed keywords

CRACK PROPAGATION; DISSIMILAR MATERIALS; GREEN'S FUNCTION; INTEGRAL EQUATIONS; INTERFACES (MATERIALS); PLATES (STRUCTURAL COMPONENTS); STRESS INTENSITY FACTORS; STRUCTURAL ANALYSIS; THERMAL STRESS; THERMOELASTICITY; THERMOELECTRICITY;

BIMATERIALS; THERMOELECTROELASTIC GREEN'S FUNCTION;

PIEZOELECTRIC MATERIALS;

EID: 0032116195     PISSN: 09391533     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004190050177     Document Type: Article

References (17)

1. Olesiak, Z.; Sneddon, I. N.: The distribution of thermal stress in an infinite elastic solid containing a penny-shaped crack. Arch. Rational Mech. Anal. 4 (1960) 238-254
2. Sih, G. C: On the singular character of thermal stresses near a crack tip. J. Appl. Mech. 29 (1962) 587-589
3. Florence, A. L.; Goodier, J. N.: The linear thermoelastic problem of uniform heat flow disturbed by a penny-shaped insulated crack. Int. J. Eng. Sci. 1 (1963) 533-540
4. Clements, D. L.: Thermal stress in an anisotropic elastic half-space. SIAM J. Appl. Math. 24 (1973) 332-337
5. Atkinson, C.; Clements, D. L.: On some crack problems in anisotropic thermoelasticity. Int. J. Solids Struct. 13 (1977) 855-864
6. Tsai, Y. M.: Transversely isotropic thermoelastic problem of uniform heat flow disturbed by a penny-shaped crack. J. Thermal Stresses 6 (1983) 379-389
7. Hwu, C.: Thermal stresses in an anisotropic plate disturbed fay an insulated elliptic hole or crack. J. Appl. Mech. 57 (1990) 916-922
8. Dunders, J.; Comninou, M.: Green's function for planar thermoelastic contact problems-Exterior contact. Mech. Res. Commun. 6 (1979) 309-316
9. Sturla, F. A.; Barber, J. R.: Thermal stresses due to a plane crack in general anisotropic material. J. Appl. Mech. 55 (1988) 372-376
10. Ting, T. C. T.: Image singularities of Green's functions for anisotropic elastic half-space and bimaterials. Quart. J. Mech. Appl. Math. 45 (1992) 119-139
11. Yu, S. W.; Qin, Q.H.: Damage analysis of thermopiezoelectric properties: Part I-crack tip singularities. Theore. Appl. Fracture Mech. 25 (1996) 263-277
12. Erdogan, F.; Gupta, G. D.: On the numerical solution of singular integral equations. Quart. Appl. Math. 32 (1972) 525-534
13. Sih, G. C.: A special theory of crack propagation, methods of analysis and solutions of crack problems. In: Sih, G. C. (ed.) Mechanics of fracture I, pp. 21-45. Leiden: Noordhoff International Publishing 1973
14. Sih, G. C.: Prediction of crack growth under mixed mode conditions. In: Sih, G.C.; Theocaris, P.S. (eds.): USA-Greece symposium on mixed mode crack propagation, pp. 3-19. The Netherlands: Sijthoff & Noordhoff 1981
15. Dunn, M. L.: Micromechanics of coupled electroelastic composites: effective thermal expansion and pyroelectric coefficients. J. Appl. Phys. 73 (1993) 5131-5140
16. Ashida, F.; Tauchen, Th. R.; Noda, N.: A general solution technique for piezothermoelasticity of hexagonal solids of class 6mm in Certesian coordinates. Z. Angew. Math. Mech. 74 (1994) 87-95
17. Nye, J. F.: Physical properties of crystals. Oxford: Oxford University Press 1957