Analysis of a Mode III Crack in a Functionally Gradient Piezoelectric Material

2003 ◽  
Vol 423-425 ◽  
pp. 623-628 ◽  
Author(s):  
Zheng Zhong ◽  
Dong Wei Shu ◽  
B. Jin
Keyword(s):  
Piezoelectric Material ◽  
Mode Iii ◽  
Mode Iii Crack ◽  
Functionally Gradient

The Crack-Tip Higher Order Asymptotic Fields for a Mode III Crack in a Functionally Gradient Material

2008 ◽  
Vol 33-37 ◽  
pp. 713-718
Author(s):  
Yao Dai ◽  
Xiu Fa Yan ◽  
Chang Qing Sun ◽  
Wei Tan
Keyword(s):  
Crack Tip ◽  
Higher Order ◽  
Stress Fields ◽  
Gradient Material ◽  
Mode Iii ◽  
Mode Iii Crack ◽  
Functionally Gradient Material ◽  
Functionally Gradient ◽  
Order Stress ◽  
Crack Tip Stress

Crack-tip higher order stress and displacement fields for a mode III crack along the direction of property variation in a functionally gradient material (FGM), which has a power variation of shear modulus along the gradient direction, are obtained through the asymptotic analysis. The asymptotic expansions of crack tip stress fields are derived to explicitly bring out the influence of non-homogeneity on the structure of the stress field. The analysis reveals that only the higher order terms in the expansion are influenced by the material non-homogeneity. Moreover, it can be seen from expressions of higher order stress fields that at least three terms must be considered in the case of FGMs in order to explicitly and theoretically account for non-homogeneity effects on crack tip stress fields.

A Mode III Crack in a Functionally Graded Piezoelectric Material Strip

2004 ◽  
Vol 71 (3) ◽  
pp. 327-333 ◽  
Author(s):  
B. L. Wang ◽  
X. H. Zhang
Keyword(s):  
Piezoelectric Material ◽  
Electric Displacement ◽  
Crack Problem ◽  
Functionally Graded ◽  
Mode Iii ◽  
Functionally Graded Piezoelectric Material ◽  
Mode Iii Crack ◽  
Crack Location ◽  
Functional Forms ◽  
Functionally Graded Piezoelectric

This paper considers a mode III crack problem for a functionally graded piezoelectric material strip. The mechanical and electrical properties of the strip are considered for a class of functional forms for which the equilibrium equation has an analytical solution. The problem is solved by means of singular integral equation technique. Both a single crack and two collinear cracks are investigated. The results are tabulated and plotted to show the effect of the material nonhomogeneity and crack location on the stress and electric displacement intensity factors.

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