Mathematical modeling of electrorheological materials Academic Article

abstract

• In this paper we derive governing equations for the motion of electrorheological fluids, where the complex interactions between the thermo-mechanical and electro-magnetic fields are taken into account. Starting point are the general balance laws of thermodynamics and electrodynamics. Based on simplifications, which reflect the nature of electrorheological fluids, and a non-dimensionalization, taking into account typical situations in applications, the final set of equations is derived, which is also tractable for mathematical and numerical analysis. Finally, we discuss the consequences of the second law of thermodynamics for various special constitutive relations for the Cauchy stress tensor.

authors

• Rajagopal, Kumbakonam

published proceedings

• CONTINUUM MECHANICS AND THERMODYNAMICS

author list (cited authors)

• Rajagopal, K. R., & Ruzicka, M.

citation count

• 272

complete list of authors

• Rajagopal, KR||Ružička, M

publication date

• February 2001

publisher

• Springer Nature  Publisher

published in

• Continuum Mechanics and Thermodynamics  Journal

Digital Object Identifier (DOI)

• 10.1007/s001610100034

start page

• 59

end page

• 78

volume

• 13

issue

• 1

URL

• http://dx.doi.org/10.1007/s001610100034