Anti-plane problem of periodic cracks in a functionally graded coating–substrate structure

2005 ◽  
Vol 75 (2-3) ◽  
pp. 138-152 ◽  
Author(s):  
Jian Chen
Keyword(s):  
Plane Problem ◽  
Functionally Graded ◽  
Functionally Graded Coating ◽  
Substrate Structure ◽  
Graded Coating ◽  
Periodic Cracks

Mode III crack problem in a functionally graded coating-homogeneous substrate structure

2008 ◽  
Vol 222 (3) ◽  
pp. 329-337 ◽  
Author(s):  
L Ma ◽  
L-Z Wu
Keyword(s):  
Integral Transform ◽  
Crack Problem ◽  
Singular Integral Equations ◽  
Functionally Graded ◽  
Internal Crack ◽  
Mode Iii ◽  
Functionally Graded Coating ◽  
Substrate Structure ◽  
Graded Coating ◽  
Gradient Parameter

The current paper describes an anti-plane problem for an internal crack and an edge crack perpendicular to the interface of a functionally graded coating-homogeneous substrate structure for the material whose properties are one-dimensionally dependent. Integral transform and dislocation density functions are employed to reduce the problem to a solution of a system of singular integral equations. Numerical results show the effect of the material gradient parameter and crack configuration on the stress intensity factors of the functionally graded coating-homogeneous substrate structure.

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