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.

The Effect of Poisson’s Ratio on the Contact Traction Distribution of a Functionally Graded Coating

2011 ◽  
Vol 197-198 ◽  
pp. 1591-1594
Author(s):  
Tie Jun Liu ◽  
Yue Sheng Wang
Keyword(s):  
Poisson’S Ratio ◽  
Integral Transform ◽  
Contact Region ◽  
Singular Integral Equations ◽  
Functionally Graded ◽  
Poisson's Ratio ◽  
Obvious Effect ◽  
Functionally Graded Coating ◽  
Graded Coating ◽  
Traction Distribution

This paper deals with the finite frictional contact of a functionally graded coating with considering the effect of Poisson’s ratio. We assume that a functionally graded coated half-space is indented by a rigid spherical punch and that the shear modulus of FGMs varies as exponential function. The whole contact region is divided into the central adhesion zone and the slip annulus. Within the slip annulus, the shear stress is limited by friction. By using the Hankel integral transform technique, the problem is reduced to a set of Cauchy singular integral equations. A numerical method is used to get the contact pressure and tangential tractions in the contact region for different Poisson’s ratio. The results show that the variation of Poisson’s ratio has obvious effect on both normal and tangential tractions. With the increase of ν, the peak value of the normal traction increases and that of the tangential traction decreases.

Transient Anti-Plane Crack Problem in a Functionally Graded Smart Structure

2004 ◽  
Vol 261-263 ◽  
pp. 257-262
Author(s):  
Z.Z. Zou ◽  
J. Chen ◽  
Sheng Xing Wu
Keyword(s):  
Fracture Behavior ◽  
Crack Problem ◽  
Singular Integral Equations ◽  
Integral Transforms ◽  
Functionally Graded ◽  
Smart Structure ◽  
Plane Crack ◽  
Gradient Parameter ◽  
Crack Position ◽  
Crack Condition

The dynamic anti-plane crack problem in a functionally graded smart structure is considered. Integral transforms are employed to reduce the problem to the solution of singular integral equations. Numerical results are presented to show the nfluences of electrical crack condition, crack position, electromechanical combination factor and material gradient parameter on the fracture behavior.

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