Abstract
The formulation of the constitutive equations of electromagnetic (E-M) elastic solids must employ a special type of Helmholtz free-energy functions and a dissipation functional. To this end, we need to develop constitutive equations in the material frame of reference. Thus, the energy equations and the Clausius-Duhem (C-D) inequality are expressed in a material frame. Employing the additive functional, introduced in Section 3.2, we develop separate constitutive equations for the static and dynamic members of the constitutive-dependent variables. This is done by using the C-D inequality. The dynamic members of the constitutive equations require the introduction of the difference histories of the dependent variables. The resulting constitutive equations are nonlocal both in space and time.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag New York, Inc.
About this chapter
Cite this chapter
(2002). Constitutive Equations of Nonlocal Electromagnetic Media. In: Eringen, A.C. (eds) Nonlocal Continuum Field Theories. Springer, New York, NY. https://doi.org/10.1007/978-0-387-22643-9_5
Download citation
DOI: https://doi.org/10.1007/978-0-387-22643-9_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-95275-8
Online ISBN: 978-0-387-22643-9
eBook Packages: Springer Book Archive