Electric field gradient effects in an anti-plane circular inclusion in polarized ceramics

2006 ◽  
Vol 462 (2076) ◽  
pp. 3511-3522 ◽  
Author(s):  
J.S Yang ◽  
H.G Zhou ◽  
J.Y Li
Keyword(s):  
Exact Solution ◽  
Electric Field ◽  
Electric Field Gradient ◽  
Field Gradient ◽  
Linear Theory ◽  
Material Properties ◽  
Circular Inclusion ◽  
Effective Material Properties ◽  
Gradient Effects ◽  
Properties Of Composites

We analyse electric field gradient (or quadrupole) effects in the anti-plane problem of a small, circular inclusion in polarized ceramics. An exact solution is obtained. The solutions show that, different from the classical inclusion solution from the linear theory of piezoelectricity, the electric field in the inclusion is no longer uniform. This has implications in field concentration and strength considerations and the prediction of effective material properties of composites.

Electric Field Gradient Effects in Raman Spectroscopy

2000 ◽  
Vol 85 (19) ◽  
pp. 4180-4183 ◽  
Author(s):  
E. J. Ayars ◽  
H. D. Hallen ◽  
C. L. Jahncke
Keyword(s):  
Raman Spectroscopy ◽  
Electric Field ◽  
Electric Field Gradient ◽  
Field Gradient ◽  
Gradient Effects

Electric field gradient effects on the spectroscopy of adsorbed molecules

1981 ◽  
Vol 85 (6) ◽  
pp. 621-623 ◽  
Author(s):  
J. K. Sass ◽  
H. Neff ◽  
M. Moskovits ◽  
S. Holloway
Keyword(s):  
Electric Field ◽  
Electric Field Gradient ◽  
Field Gradient ◽  
Adsorbed Molecules ◽  
Gradient Effects

Strain gradient and electric field gradient effects in piezoelectric cantilever beams

2015 ◽  
Vol 24 (3-4) ◽  
pp. 121-127 ◽  
Author(s):  
Yanmei Yue ◽  
Kaiyu Xu ◽  
Elias C. Aifantis
Keyword(s):  
Electric Field ◽  
Electric Field Gradient ◽  
Field Gradient ◽  
Strain Gradient ◽  
Electromechanical Coupling ◽  
Beam Model ◽  
Limited Effect ◽  
Piezoelectric Beam ◽  
Piezoelectric Cantilever ◽  
Gradient Effects

AbstractA piezoelectric beam model with strain gradient and electric gradient effects is proposed. An energy variational principle with strain, strain gradient, electric field, and electric field gradient considered as independent variables is postulated to develop the governing equations and boundary conditions. Moreover, two strain gradient coefficients and one electric field gradient coefficient are introduced to account for higher order coupling effects of underlying microstructure. Then the bending problem of a cantilever beam is solved to illustrate the theory. It is found that the deflection of the cantilever may depend strongly on the so-introduced gradient effects. As a result of the electromechanical coupling, the generated electric field may also be affected by the strain gradient. However, electric field gradient has a limited effect on the electric field.

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