Interface crack problem of functionally graded piezoelectric materials: effects of the position of electromechanical impact and gradient

2008 ◽  
Vol 207 (1-2) ◽  
pp. 69-82 ◽  
Author(s):  
Xu-Long Peng ◽  
Xian-Fang Li ◽  
Kang Yong Lee
Keyword(s):  
Interface Crack ◽  
Piezoelectric Materials ◽  
Crack Problem ◽  
Functionally Graded ◽  
Functionally Graded Piezoelectric Materials ◽  
Functionally Graded Piezoelectric

Anti-plane crack problem of a functionally graded piezoelectric materials strip with arbitrarily distributed properties

2019 ◽  
Vol 231 (3) ◽  
pp. 1029-1043
Author(s):  
Zhi-hai Wang ◽  
Yuan-jie Kong ◽  
Feng-yun Sun ◽  
Tao Zeng ◽  
Xiao-hong Wang ◽  
...  
Keyword(s):  
Piezoelectric Materials ◽  
Crack Problem ◽  
Functionally Graded ◽  
Plane Crack ◽  
Functionally Graded Piezoelectric Materials ◽  
Functionally Graded Piezoelectric

The Higher Order Crack Tip Fields for Anti-Plane Crack in Functionally Graded Piezoelectric Materials

2014 ◽  
Vol 472 ◽  
pp. 617-620 ◽  
Author(s):  
Yao Dai ◽  
Xiao Chong ◽  
Shi Min Li
Keyword(s):  
Material Properties ◽  
Piezoelectric Materials ◽  
Crack Problem ◽  
Functionally Graded ◽  
Plane Crack ◽  
Homogeneous Material ◽  
Plane Shear ◽  
Functionally Graded Piezoelectric Materials ◽  
Fundamental Significance ◽  
Functionally Graded Piezoelectric

The anti-plane crack problem is studied in functionally graded piezoelectric materials (FGPMs). The material properties of the FGPMs are assumed to be the exponential function of y. The crack is electrically impermeable and loaded by anti-plane shear tractions and in-plane electric displacements. Similar to the Williams solution of homogeneous material, the high order asymptotic fields are obtained by the method of asymptotic expansion. This investigation possesses fundamental significance as Williams solution.

Antiplane Crack Problem in Functionally Graded Piezoelectric Materials

2002 ◽  
Vol 69 (4) ◽  
pp. 481-488 ◽  
Author(s):  
Chunyu Li ◽  
G. J. Weng
Keyword(s):  
Integral Equations ◽  
Piezoelectric Material ◽  
Electric Fields ◽  
Crack Problem ◽  
Functionally Graded ◽  
Fredholm Integral Equations ◽  
Dual Integral Equations ◽  
Functionally Graded Piezoelectric Material ◽  
Functionally Graded Piezoelectric Materials ◽  
Functionally Graded Piezoelectric

In this paper the problem of a finite crack in a strip of functionally graded piezoelectric material (FGPM) is studied. It is assumed that the elastic stiffness, piezoelectric constant, and dielectric permitivity of the FGPM vary continuously along the thickness of the strip, and that the strip is under an antiplane mechanical loading and in-plane electric loading. By using the Fourier transform, the problem is first reduced to two pairs of dual integral equations and then into Fredholm integral equations of the second kind. The near-tip singular stress and electric fields are obtained from the asymptotic expansion of the stresses and electric fields around the crack tip. It is found that the singular stresses and electric displacements at the tip of the crack in the functionally graded piezoelectric material carry the same forms as those in a homogeneous piezoelectric material but that the magnitudes of the intensity factors are dependent upon the gradient of the FGPM properties. The investigation on the influences of the FGPM graded properties shows that an increase in the gradient of the material properties can reduce the magnitude of the stress intensity factor.

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