An interface crack for a functionally graded strip sandwiched between two homogeneous layers of finite thickness

Meccanica

Volumn 41, Issue 1, 2006, Pages 79-99

  Zhou, Zhen Gong ^a   Wang, Biao ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Dual integral equations; Functionally graded materials; Interface crack; Schmidt method

Indexed keywords

BOUNDARY VALUE PROBLEMS; CRACKS; FOURIER TRANSFORMS; FUNCTIONALLY GRADED MATERIALS; INTEGRAL EQUATIONS; SURFACES;

DUAL INTEGRAL EQUATIONS; INTERFACE CRACK; SCHMIDT METHOD;

INTERFACES (MATERIALS);

EID: 33646174201     PISSN: 00256455     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11012-005-8866-9     Document Type: Article

References (23)

1. Koizumi, M., 'The concept of FGM". in: Holt, J.B. et al. (eds.), Ceramic Transactions Vol. 34, Functionally Graded Materials. American Ceramic Society, Ohio, pp. 3-10.
2. Lee, Y.D. and Erdogan, F., 'Residual/thermal stress in FGM and laminated thermal barrier coating", Int. J. Fract., 69 (1994) 145-165.
3. Suresh, S. and Mortensen, A., 'Functionally graded metals and metal-ceramic composites: part 2 thermomechanical behaviour', Int. Mater. Rev. 29 (1977) 306-312.
4. Choi, H.J., 'The problem for bonded half-planes containing a crack at an arbitrary angle to the graded interfacial zone", Int. J. Solids Struct. 38 (2001) 6559-6588.
5. Delae, F. and Erdogan, F., 'On the mechanical modeling of the interfacial region in bonded half-planes', ASME J. Appl. Mech 55 (1988) 317-324.
6. Ozturk, M. and Erdogan, F., "Axisymmetric crack problem in bonded materials with a graded interfacial region', Int. J. Solids Strut. 33 (1996) 193-219.
7. Chen, Y.F., 'Interface crack in nonhomogeneous bonded materials of finite thickness', Ph.D. Dissertation, Lehigh University (1990).
8. Jin, Z.H. and Batra, R.C., 'Interface cracking between functionally graded coating and a substrate under antiplane shear', Int. J. Eng. Sci. 34 (1996) 1705-1716.
9. Bao, G. and Cai, H., "Delamination cracking in functionally graded coating/metal substrate systems', ACTA Materialia 45 (1997) 1055-1066.
10. Shbeeb, N.I. and Binienda, W.K., Analysis of an interface crack for a functionally graded strip sandwiched between two homogeneous layers of finite thickness", Eng. Frac. Mech. 64 (1999) 693-720.
11. Wang, B.L., Han, J.C. and Du, S.Y., 'Crack problem for non-homogeneous composite materials subjected to dynamic loading', Int. J. Solids Struct. 37 (2000) 1251-1274.
12. Erdogan, F. and Wu, H.B., 'Crack problems in FGM layer under thermal stress', J. Thermal Stress 19 (1996) 237-265.
13. Morse, P.M. and Feshbach, H., Methods of Theoretical Physics, Vol.1, McGraw-Hill, New York, 1958, p. 926.
14. Zhou, Z.G., Liang, J. and Wang, W., Two collinear permeable cracks in a piezoelectric layer bonded to two half spaces, Meccanica 38 (2003) 467-475.
15. Zhou, Z.G., Chen, J.Y. and Wang, B., Analysis of two collinear cracks in a piezoelectric layer bonded to two half spaces subjected to anti-plane shear', Meccanica 35 (2000) 443-456.
16. Zhou, Z.G., Sun, Y.G. and Wang, B., 'Investigation of the dynamic behavior of a Griffith crack in a piezoelectric material strip subjected to the harmonic elastic anti-plane shear waves by use of the non-local theory', Meccanica 39 (1) (2004) 63-76.
17. Itou, S., 'Stresses around an interface crack', Eng. Fract. Mech. 25 (1986) 415-420.
18. England, A.H., A crack between dissimilar media', J. Appl. Mech. 32 (1965) 400-402.
19. Erdogan, F. and Wu, B.H., Interface crack problems in layered orthotropic materials, J. Mech. Phys. Solids', 41(5) (1993) 889-917.
20. Zhang, X.S., A central crack at the interface between two different orthotropic media for the mode I and mode II", Eng. Fract. Mech. 33(3) (1989) 327-333.
21. Zhang, X.S., A center crack at the interface between two different media for the opening mode', Eng. Fract. Mech. 24 (2) (1986) 177-185.
22. Gradshteyn, I.S. and Ryzhik, I.M., Table of Integrals, Academic Press, New York, 1980.
23. Erdelyi, A. (ed), Tables of Integral Transforms, Vol.1, McGraw-Hill, New York, (1954).