• Support PF! Buy your school textbooks, materials and every day products Here!

Good online source on electrostriction

  • Thread starter Tsunami
  • Start date
  • #1
91
0
Can someone refer me to good online sources about electrostriction, or simply explain the phenomena to me?

Is there a reason why there's a kwadratic dependence on the electric field?

Thank you.
 

Answers and Replies

  • #2
Astronuc
Staff Emeritus
Science Advisor
18,797
1,944
I have not currently found a good theoretical explanation of why the deformation (strain) of a material has a quadratic dependence on the magnitude of the electric field. However, I did find -

Material Parameters for Electrostriction
Authors: Yuri M. Shkel; Daniel J. Klingenberg; WISCONSIN UNIV-MADISON DEPT OF CHEMICAL ENGINEERING
Abstract: Electrostriction is often described by a phenomenological tensor relating a material's deformation to an applied electric field. However, this tensor is not a material parameter; for deformable, weakly compressible materials (e.g., elastomers), the field-induced deformations depend strongly upon boundary conditions. A different approach that relates the deformation to material properties as well as boundary conditions is required. In this paper, we describe a linear theory which introduces five material parameters governing electrostriction: the relative dielectric constant, eD, two derivatives of the dielectric constant tensor, a1 and a2, Young's modulus, Ey and Poisson's ratio, v. Knowledge of these parameters and appropriate boundary conditions allow one to predict field-induced deformations for arbitrary configurations. We demonstrate an experimental procedure for measuring deformations and permittivity changes, from which the parameters a1 and a2 may be extracted (eO, V, and Ey can be measured by a variety of established methods). The linear theory reproduces experimental results for two polyurethane films at small to moderate electric field strengths. We find that the electrostatic force associated with the parameters a1 and a2 is at least ten times larger than the Coulombic attractive force between the electrodes.
from - http://www.stormingmedia.us/73/7321/A732113.html

See also - www.stormingmedia.us/keywords/electrostriction.html

The application of an electric field to any material can displace charge and lead to field-induced elastic strain. If the sign of the strain is unchanged on reversal of the electric field, this property is termed electrostriction and it occurs in all materials whether crystalline or not. The term electrostrictive polymer is used in this study to describe the stress and strain response of a polymer subjected to an electric field. Electostriction is distinguished from piezoelectric behaviour in that the response is proportional to the square of the electric field rather than proportional to the field. The dielectric and mechanical properties of the polymer material determine the magnitude of the stress and strain response. In this study, thin films of dielectric polymers are considered with compliant electrodes. When a charge is placed on the electrodes the polymer film is compressed and its area is increased since the electrodes are compliant. It is assumed that the polymer is hyperelastic, consequently electrical energy is converted to strain energy of the polymer and a concept of compression efficiency is introduced.
from - http://ses.confex.com/ses/2004tm/techprogram/P1584.HTM

This paper might help - http://www.elet.polimi.it/upload/melloni/Pubblicazioni/OL23-Estriction.pdf

http://en.wikipedia.org/wiki/Electrostriction - (needs attention according to Wiki)
Apparently a good discussion can be found in an IEEE Handbook, but I don't know which one.
 

Related Threads on Good online source on electrostriction

Replies
1
Views
448
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
15
Views
3K
Replies
1
Views
2K
Replies
2
Views
5K
  • Last Post
Replies
2
Views
4K
Replies
1
Views
539
Replies
5
Views
2K
Replies
20
Views
3K
Top