Constitutive equation for non-linear electro-active solids

Acta Mechanica

Volumn 135, Issue 3, 1999, Pages 219-228

  Rajagopal, K R ^a   Wineman, A ^b  

^a Texas A and M University   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC FIELDS; FLUIDS; MAXWELL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; RHEOLOGY; SOLIDS;

ELECTRO ACTIVE SOLID; ELECTRORHEOLOGICAL FLUID;

CONTINUUM MECHANICS;

EID: 0032592729     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01305753     Document Type: Article

References (11)

1. Rajagopal, K. R., Ruzicka, M.: Mathematical modeling of electrorheological materials. Int. J. Eng. Sci. (submitted).
2. Toupin, R. A.: The elastic dielectric. J. Rat. Mech. Anal. 5, 849-915 (1956).
3. Rajagopal, K. R., Wineman, A. S.: Flow of electrorheological fluids. Acta Mech. 91, 57-75 (1992).
4. Wineman, A. S., Rajagopal, K. R.: On constitutive equations for electrorheological materials. Cont. Mech. Thermodyn. 7, 1-22 (1995).
5. Spencer, A. J. M.: Continuum physics (Eringen, A. C., ed.), Vol. 3. New York: Academic Press 1975.
6. Pipkin, A. C., Rivlin, R. S.: Electrical conduction in deformed isotropic materials. J. Math. Phys. 1, 127-130 (1960).
7. Pipkin, A. C., Rivlin, R. S.: Galvanomagnetic and thermomagnetic effects in isotropic materials. J. Math. Phys. 1, 542-546 (1960).
8. Pipkin, A. C., Rivlin, R. S.: Phenomenological theory of magnetic hysteresis. J. Math. Phys. 8, 878-883 (1967).
9. Toupin, R. A., Rivlin, R. S.: Electro-magnetic-optical effects. Arch. Rat. Mech. Anal. 7, 434-448 (1961).
10. Rajagopal, K. R., Wineman, A. S.: Developments in the mechanics of interactions between a fluid and a highly elastic solid. In: Recent developments in structured continua, Vol. II (DeKee, D., Kaloni, P. N., eds.), pp. 249-292. Pitman Research Notes in Mathematics Series, Longman Scientific and Technical, U. K. 1990.
11. Rajagopal, K. R., Tao, L.: Mechanics of mixtures. Series on Advances in Mathematics for Applied Sciences vol. 35. Singapore: World Scientific 1995.