Effective moduli of multiferroic fibrous composites with strain gradient and electromagnetic field gradient effects

2021 ◽  
Vol 222-223 ◽  
pp. 111007
Author(s):  
Hsin-Yi Kuo
Keyword(s):  
Electromagnetic Field ◽  
Field Gradient ◽  
Strain Gradient ◽  
Effective Moduli ◽  
Fibrous Composites ◽  
Gradient Effects

Combined polarization field gradient and strain field gradient effects in elastic flexoelectric materials

2015 ◽  
Vol 22 (5) ◽  
pp. 938-951 ◽  
Author(s):  
K Enakoutsa ◽  
D Del Vescovo ◽  
D Scerrato
Keyword(s):  
Field Gradient ◽  
Strain Gradient ◽  
Strain Field ◽  
Constitutive Relations ◽  
Cylindrical Tube ◽  
Polarization Field ◽  
Equilibrium Equations ◽  
Elastic Energy Density ◽  
Gradient Fields ◽  
Gradient Effects

We consider a constitutive model for the behavior of elastic flexoelectric materials including strain gradient fields and polarization gradient fields. This model is based on a stored elastic energy density function which depends on four independent variables: the polarization field and the polarization field gradient as well as the strain field and the strain field gradient. A generalized Toupin variational approach is utilized to find the governing equations (constitutive relations, equilibrium equations and boundary conditions) of the material. The present model is then applied to the problem of a thick walled cylindrical tube of elastic isotropic flexoelectric material, subjected to axisymmetric loading. The resulting radial displacement field noticeably differs from the elastic and strain gradient elastic cases.

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.

Strain-Gradient Effects in Microlayers

1966 ◽  
Vol 92 (5) ◽  
pp. 67-86
Author(s):  
F.D. Day ◽  
Yechiel Weitsman
Keyword(s):  
Strain Gradient ◽  
Strain Gradient Effects ◽  
Gradient Effects
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