Functionally Graded Piezoelectric Media with a Single Anti-plane Crack

Author(s):  
Petia Dineva ◽  
Dietmar Gross ◽  
Ralf Müller ◽  
Tsviatko Rangelov
2019 ◽  
Vol 231 (3) ◽  
pp. 1029-1043
Author(s):  
Zhi-hai Wang ◽  
Yuan-jie Kong ◽  
Feng-yun Sun ◽  
Tao Zeng ◽  
Xiao-hong Wang ◽  
...  

2011 ◽  
Vol 82 (1) ◽  
pp. 97-110 ◽  
Author(s):  
Ralf Müller ◽  
Petia Dineva ◽  
Tsviatko Rangelov ◽  
Dietmar Gross

2014 ◽  
Vol 472 ◽  
pp. 617-620 ◽  
Author(s):  
Yao Dai ◽  
Xiao Chong ◽  
Shi Min Li

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.


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