Acta Mechanica Solida Sinica

, Volume 30, Issue 1, pp 21–26 | Cite as

Differential derivation of momentum and energy equations in electroelasticity

Article

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.

Keywords

Nonlinear Electroelasticity Piezoelectricity momentum energy 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    S.R. De Groot, L.G. Suttorp, Foundations of Electrodynamics, Noord-Hollandsche U.M., Amsterdam, 1972.Google Scholar
  2. 2.
    A.C. Eringen, G.A. Maugin, Electrodynamics of Continua, Springer-Verlag, New York, 1990.Google Scholar
  3. 3.
    H.F. Tiersten, On the nonlinear equations of thermoelectroelasticity, Int. J. Eng. Sci. 9 (1971) 587–604.MathSciNetCrossRefGoogle Scholar
  4. 4.
    H.F. Tiersten, Coupled magnetomechanical equation for magnetically saturated insulators, J. Math. Phys. 5 (1964) 1298–1318.MathSciNetCrossRefGoogle Scholar
  5. 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.CrossRefGoogle Scholar
  6. 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.CrossRefGoogle Scholar
  7. 7.
    A.C. Eringen, Mechanics of Continua, Robert E. Krieger Publishing Company, Huntington, New York, 1980.MATHGoogle Scholar
  8. 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.CrossRefGoogle Scholar
  9. 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.CrossRefGoogle Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2014

Authors and Affiliations

  1. 1.Piezoelectric Device Laboratory, School of Mechanical Engineering and MechanicsNingbo UniversityNingboChina
  2. 2.Department of Mechanical and Materials EngineeringUniversity of Nebraska-LincolnLincolnUSA

Personalised recommendations