Elastodynamic response for the multi-layered transversely isotropic piezoelectric solid subjected to time-harmonic loads

2016 ◽  
Vol 153 ◽  
pp. 755-772 ◽  
Author(s):  
Jun Liu ◽  
Pengchong Zhang ◽  
Gao Lin ◽  
Shan Lu
Keyword(s):  
Transversely Isotropic ◽  
Time Harmonic ◽  
Piezoelectric Solid ◽  
Elastodynamic Response

Penny-shaped and half-plane cracks in a transversely isotropic piezoelectric solid under arbitrary loading

2000 ◽  
Vol 70 (1-3) ◽  
pp. 201-229 ◽  
Author(s):  
E. Karapetian ◽  
I. Sevostianov ◽  
M. Kachanov
Keyword(s):  
Half Plane ◽  
Transversely Isotropic ◽  
Arbitrary Loading ◽  
Piezoelectric Solid

A penny-shaped crack in a transversely isotropic piezoelectric solid: Modes II and III problems

1999 ◽  
Vol 15 (1) ◽  
pp. 52-58 ◽  
Author(s):  
Chen Weiqui ◽  
Ding Haojiang
Keyword(s):  
Transversely Isotropic ◽  
Penny Shaped Crack ◽  
Shaped Crack ◽  
Piezoelectric Solid

Bi-material transversely isotropic half-space containing penny-shaped crack under time-harmonic horizontal loads

2017 ◽  
Vol 172 ◽  
pp. 152-180 ◽  
Author(s):  
Morteza Eskandari-Ghadi ◽  
Azizollah Ardeshir-Behrestaghi ◽  
Ronald Y.S. Pak
Keyword(s):  
Half Space ◽  
Transversely Isotropic ◽  
Time Harmonic ◽  
Penny Shaped Crack ◽  
Shaped Crack

Construction of Dynamic Fundamental Solutions for Piezoelectric Solids

1995 ◽  
Vol 48 (11S) ◽  
pp. S222-S229 ◽  
Author(s):  
Naum Khutoryansky ◽  
Horacio Sosa
Keyword(s):  
Three Dimensional ◽  
Transversely Isotropic ◽  
Fundamental Solutions ◽  
Point Of View ◽  
Integral Representations ◽  
Computational Point ◽  
Plane Wave Decomposition ◽  
Piezoelectric Solid ◽  
Piezoelectric Solids ◽  
Wave Decomposition

Fundamental solutions are derived within the framework of transient dynamic, three-dimensional piezoelectricity. The purpose of the article is to show alternate integral representations for such solutions. Thus, a representation over the unit sphere in accordance to a methodology based on the plane wave decomposition is provided. It is shown, however, that more efficient representations from a computational point of view can be achieved through appropriate coordinate transformations. Hence, representations of the fundamental solutions over surfaces of slowness are provided as novel alternatives to more classical approaches. The computational benefits of these new representations are displayed through a numerical example involving a transversely isotropic piezoelectric solid.

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