Skip to main content

Advertisement

SpringerLink
Log in

Differential derivation of momentum and energy equations in electroelasticity

  • Published:
Acta Mechanica Solida Sinica Aims and scope Submit manuscript

Abstract

This paper presents a derivation of the equations of linear momentum, angular momentum, and energy of an electroelastic body using a composite particle consisting of two differential elements based on Tiersten’s two-continuum model. The differential derivation shows the physics involved in a way different from the integral approach in the literature. Like the integral approach, it also produces the expressions of the electric body force, couple, and power which are fundamental to the development of the nonlinear macroscopic theory of an electroelastic body.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. S.R. De Groot, L.G. Suttorp, Foundations of Electrodynamics, Noord-Hollandsche U.M., Amsterdam, 1972.

    Google Scholar 

  2. A.C. Eringen, G.A. Maugin, Electrodynamics of Continua, Springer-Verlag, New York, 1990.

    Google Scholar 

  3. H.F. Tiersten, On the nonlinear equations of thermoelectroelasticity, Int. J. Eng. Sci. 9 (1971) 587–604.

    Article  MathSciNet  Google Scholar 

  4. H.F. Tiersten, Coupled magnetomechanical equation for magnetically saturated insulators, J. Math. Phys. 5 (1964) 1298–1318.

    Article  MathSciNet  Google Scholar 

  5. H.F. Tiersten, C.F. Tsai, On the interaction of the electromagnetic field with heat conducting deformable insulators, J. Math. Phys. 13 (1972) 361–378.

    Article  Google Scholar 

  6. H.G. De Lorenzi, H.F. Tiersten, On the interaction of the electromagnetic field with heat conducting deformable semiconductors, J. Math. Phys. 16 (1975) 938–957.

    Article  Google Scholar 

  7. A.C. Eringen, Mechanics of Continua, Robert E. Krieger Publishing Company, Huntington, New York, 1980.

    MATH  Google Scholar 

  8. J.S. Yang, On the derivation of electric body force, couple and power in an electroelastic body, Acta Mech. Solida Sin. 28 (2015) 613–617.

    Article  Google Scholar 

  9. J.C. Baumhauer, H.F. Tiersten, Nonlinear electroelastic equations for small fields superposed on a bias, J. Acoust. Soc. Am. 54 (1973) 1017–1034.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Piezoelectric Device Laboratory, School of Mechanical Engineering and Mechanics, Ningbo University, 315211, Zhejiang, Ningbo, China

    Jiashi Yang

  2. Department of Mechanical and Materials Engineering, University of Nebraska-Lincoln, 68588-0526, Lincoln, NE, USA

    Jiashi Yang

Authors
  1. Jiashi Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jiashi Yang.

Additional information

This work was supported by the Y. K. Pao Visiting Professorship at Ningbo University, and the K. C. Wong Magana Fund through Ningbo University.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yang, J. Differential derivation of momentum and energy equations in electroelasticity. Acta Mech. Solida Sin. 30, 21–26 (2017). https://doi.org/10.1016/j.camss.2016.05.001

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1016/j.camss.2016.05.001

Keywords

Search

Navigation