Interaction between coated inclusions and cracks in an infinite isotropic elastic medium

Engineering Analysis with Boundary Elements

Volumn 27, Issue 9, 2003, Pages 871-884

  Dong, C Y ^a   Lo, S H ^a   Cheung, Y K ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Boundary integral equation method; Coated inclusions; Domain integral equation method; Internal cracks

Indexed keywords

BOUNDARY ELEMENT METHOD; COATINGS; CRACKS; INCLUSIONS; INTEGRAL EQUATIONS; INTERFACES (MATERIALS); STRESS INTENSITY FACTORS;

COATED INCLUSIONS;

ELASTICITY;

EID: 0141844437     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0955-7997(03)00047-X     Document Type: Article

References (27)

1. Dundurs J., Mura T. Interaction between an edge dislocation and a circular inclusion. J Mech Phys Solids. 12:1964;177-189.
2. Tamate O. The effect of a circular inclusion on the stresses around a line crack in a sheet under tension. Int J Fract. 4:1968;257-265.
3. Erdogan F., Gupta G.D., Ratwani M. Interaction between a circular inclusion and an arbitrarily oriented crack. ASME J Appl Mech. 41:1974;1007-1011.
4. Hsu Y.C., Shivakumar V. Interaction between an elastic circular inclusion and two symmetrically placed collinear cracks. Int J Fract. 12:1976;619-630.
5. Sheng C.F., Wheeler L. Crack path prediction for a kinked crack in the neighborhood of a circular inclusion in an infinite medium. ASME J Appl Mech. 48:1981;313-319.
6. Lam K.Y., Zhang J.M., Ong P.P. A new integral equation for the analysis of crack-inclusion interactions. Comput Mech. 10:1992;217-229.
7. Saimoto A., Nisitani H. Crack propagation simulation in a plate with cracks and inclusion. Brebbia C.A., Carpinteri A. Damage and fracture mechanics. 1998;3-12 Compuatational Mechanics Publications, Southampton, UK.
8. Aboudi J., Benveniste Y. The effective moduli of cracked bodies in plane deformations. Engng Fract Mech. 26:1987;171-184.
9. Huang Y., Hu K.X., Chandra A. A generalized self-consistent mechanics method for microcracked solids. J Mech Phys Solids. 42:1994;1273-1291.
10. Qin F., Cen Z.Z., Fung T.C. A boundary element analysis of quasi-brittle solids containing cracks. J Engng Mech. 128:2002;240-248.
11. Mikata Y., Taya M. Stress field in and around a coated short fiber in infinite matrix subjected to unaxial and biaxial loadings. ASME J Appl Mech. 52:1985;554-578.
12. Mikata Y., Taya M. Stress field in a coated continuous fiber composite subjected to thermal-mechanical loadings. J Compos Mater. 19:1985;554-578.
13. Lee J., Mal A. A volume integral equation technique for multiple inclusion and crack interaction problems. ASME J Appl Mech. 64:1997;23-31.
14. Xiao Z.M., Chen B.J. Stress analysis of a Zener-Stroh crack interacting with a coated inclusion. Int J Solids Struct. 38:2001;5007-5018.
15. Pan E., Amadei B. A 3D boundary element formulation of anisotropic elasticity with gravity. Appl Math Modell. 20:1996;114-120.
16. Bonnet M. Boundary integral equation methods for solids and fluids. 1999;Wiley, New York.
17. Brebbia C.A., Dominguez J. Boundary elements: an introduction course. 1989;McGraw-Hill, New York.
18. Cruse T.A. Boundary element analysis in computational fracture mechanics. 1988;Kluwer, Dordrecht.
19. Hadamard J. Lectures on Cauchy's problem in linear partial differential equations. 1923;Yale University Press, New Haven.
20. Portela A. Dual boundary element analysis of crack growth. 1993;Computational Mechanics Publications, Southampton, UK.
21. Brebbia C.A., Telles J.C.F., Wrobel L.C. Boundary element techniques. 1984;Springer, Berlin.
22. Dong C., Bonnet M. An integral formulation for steady-state elastoplastic contact over a coated half-plane. Comput Mech. 28:2002;105-121.
23. Dong C.Y., de Pater C.J. Numerical implementation of displacement discontinuity method and its application in hydraulic fracturing. Comput Meth Appl Mech Engng. 19:2001;745-760.
24. Shou K.J., Crouch S.L. A higher order displacement discontinuity method for analysis of crack problems. Int J Rock Mech Min Sci Geomech Abstr. 32:1995;49-55.
25. Ting T.C.T. Anisotropic elasticity: theory and applications. 1996;Oxford University Press, New York.
26. Nakasone Y., Nishiyama H., Nojiri T. Numerical equivalent inclusion method: a new computational method for analyzing stress fields in and around inclusions of various shapes. Mater Sci Engng. A285:2000;229-238.
27. Dong C.Y., de Pater C.J. A boundary-domain integral equation for a coated plane problem. Mech Res Commun. 27:2000;643-652.