Fracture analysis of a functionally graded coating-substrate structure with a crack perpendicular to the interface - Part II: Transient problem

International Journal of Fracture

Volumn 127, Issue 1, 2004, Pages 39-59

  Guo, Li Cheng ^a   Wu, Lin Zhi ^a   Zeng, Tao ^a   Ma, Li ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Dynamic stress intensity factors; Functionally graded coating substrate system; Internal or edge crack; Transient response

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; COATINGS; CRACK PROPAGATION; FOURIER TRANSFORMS; FUNCTIONALLY GRADED MATERIALS; INTEGRAL EQUATIONS; INTERFACES (MATERIALS); LAPLACE TRANSFORMS; STRESS INTENSITY FACTORS; STRUCTURE (COMPOSITION); SUBSTRATES;

DYNAMIC STRESS INTENSITY FACTORS; EDGE CRACK; FRACTURE ANALYSIS; FUNCTIONALLY GRADED STRUCTURE; INTERNAL CRACK; LAPLACE INVERSION TECHNIQUE; TRANSIENT RESPONSE;

FRACTURE MECHANICS;

EID: 3342920108     PISSN: 03769429     EISSN: None     Source Type: Journal    
DOI: 10.1023/b:frac.0000035050.34739.08     Document Type: Article

References (25)

1. Babaei, R. and Lukasiewicz, S.A. (1998). Dynamic response of a crack in a functionally graded material between two dissimilar half planes under anti-plane shear impact load. Engineering Fracture Mechanics 60, 479-487.
2. Chen, J., Liu, Z.X. and Zou, Z.Z. (2002). Transient internal crack problem for a nonhomogeneous orthotropic strip (Mode I). International Journal of Engineering Science 40, 1761-1774.
3. Erdogan, F. and Gupta, G.D. (1972). On the Numerical Solution of Singular Integral Equations. Quarterly of Applied Mathematics 30, 525-534.
4. Erdogan, F. and Wu, B.H. (1997). The surface crack problem for a plate with functionally graded properties. Journal of Applied Mechanics 64, 449-456.
5. Itou, S. (1980). Transient response of a finite crack in a strip with stress-free edges. Journal of Applied Mechanics 47, 801-805.
6. Jiang, L.Y. and Wang, X.D. (2002). On the dynamic crack propagation in an interphase with spatially varying elastic properties under inplane loading. International Journal of Fracture 114, 225-244.
7. Kadioglu, S., Dag, S. and Yahsi, S. (1998). Crack problem for a functionally graded layer on an elastic foundation. International Journal of Fracture 94, 63-77.
8. Kawasaki, A. and Watanabe, R. (2002). Thermal fracture behavior of metal/ceramic functionally graded materials. Engineering Fracture Mechanics 69, 1713-1728.
9. Li, C., Zou, Z. and Duan, Z. (1999). Torsional impact response of a Transversely isotropic solid with functionally graded moduli and a penny-shaped crack. Theoretical and Applied Fracture Mechanics 32, 157-163.
10. Li, C.Y., Weng, G.J. and Duan, Z.P. (2001). Dynamic behavior of a cylindrical crack in a functionally graded interlayer under torsional loading. International Journal of Solids and Structures 38, 7473-7485.
11. Li, C., Duan, Z. and Zou, Z. (2002). Torsional impact response of a penny-shaped interface crack in bonded materials with a graded materials interlayer. Journal of Applied Mechanics 69, 303-308.
12. Meguid, S.A., Wang, X.D. and Jiang, L.Y. (2002). On the dynamic propagation of a finite crack in functionally graded materials. Engineering Fracture Mechanics 69, 1753-1768.
13. Miller, M.K. and Guy, W.T. (1966). Numerical Inversion of the Laplace Transform by Use of Jacobi Polynomials. SIAM Journal Numerical Analysis 3, 624-635.
14. Parameswaran, V. and Shukla, A. (1998). Dynamic fracture of a functionally gradient material having discrete property variation. Journal of Material Science 31, 1641-1657.
15. Parameswaran, V. and Shukla, A. (1999). Crack-tip stress fields for dynamic fracture in functionally gradient materials. Mechanics of Materials 31, 579-596.
16. Rosakis, A.J., and Ravichandran, G. (2000). Dynamic failure mechanics. International Journal of Solids and Structures 37, 331-348.
17. Rousseau C.E. and Tippur H.V. (2001a). Influence of elastic gradient profiles on dynamically loaded functionally graded materials: cracks along the gradient. International Journal of Solids and Structures 38, 7839-7856.
18. Rousseau C.E. and Tippur H.V. (2001b). Dynamic fracture of compositionally graded materials with cracks along the elastic gradient: experiments and analysis. Mechanics of Materials 33, 403-421.
19. Shbeeb, N.I., Binienda, W.K. and Kreider, K. (1999). Analysis of the driving force for multiple cracks in an infinite nonhomogeneous plate, Part I: theoretical analysis. Journal of Applied Mechanics 66, 492-500.
20. Shbeeb, N.I., Binienda, W.K. and Kreider, K. (1999). Analysis of the driving force for multiple cracks in an infinite nonhomogeneous plate, Part II: numerical solutions. Journal of Applied Mechanics 66, 501-506.
21. Stehfest, H. (1970a). Numerical inversion of laplace transforms. Comm. ACM. 13, 47-49.
22. Stehfest, H. (1970b). Numerical Inversion of Laplace Transforms. Comm. ACM. 13, 624.
23. Wang, B.L., Han, J.C. and Du, S.Y. (1999). Functionally graded penny-shaped cracks under dynamic loading. Theoretical and Applied Fracture Mechanics 32, 165-175.
24. Wang, B.L., Han, J.C. and Du, S.Y. (2000). Crack problems for non-homogeneous composites subjected to dynamic loading. International Journal of Solids and Structures 37, 1251-1274.
25. Wang, X.D. and Meguid, S.A. (1995). On the dynamic crack propagation in an interface with spatially varying elastic properties. International Journal of Fracture 69, 87-99.