Nonlinear equations of thermoviscoelectroelasticity are derived with the electric field vector as the independent electric variable. The equations are linearized for small deformations and weak electric fields.
Get full access to this article
View all access options for this article.
References
1.
[1] Toupin, R. A.: The elastic dielectric. J. Rational Mech. Anal., 5(6), 849-915 (1956).
2.
[2] Tiersten, H. F.: On the nonlinear equations of thenmo electroelasticity. Int. J. Eng. Sci, 9, 587-604 (1971).
3.
[3] Tiersten, H. F.: On the influence of material objectivity on electroelastic dissipation in polarized ferroelectric ceramics. Mathematics Mech. Solids, 1, 45-55 (1996).
4.
[4] Huang, Y. N. and Batra, R. C.: A theory of thermoviscoelastic dielectric. J. Thermal Stresses, 19, 419-430 (1996).
5.
[5] Tiersten, H. F.: Nonlinear electroelastic equations cubic in the small field variables. J. Acoust. Soc. Am, 57(3), 660-666 (1975).
6.
[6] Coleman, B. D. and Noll, W.: Thermodynamics of elastic materials with heat conduction and viscosity. Arch. Rational Mech. Anal., 13, 167-178 (1963).
7.
[7] Zheng, Q. S.: On transversely isotropic, orthotropic and relatively isotropic functions of symmetric tensors, skew symmetric tensors and vectors. Int. J. Eng. Sci., 31, 1399-1453 (1993).
8.
[8] Meirovitch, L.: Analytical Methods in Vibrations, Macmillan, New York, 1967.
9.
[9] Holland, R. and EerNisse, E. P.: Design of Resonant Piezoelectric Devices, MIT Press, Cambridge, MA, 1968.
