A DYNAMICAL THEORY OF POLAR ELASTIC DIELECTRICS.
Abstract
Basic axioms of the theory of continuous media are employed to obtain the field equations, jump conditions, and constitutive equations of a polar elastic dielectric subject to large deformations and electromagnetic fields. The theory is dynamical and includes such polar effects as stress moments and electric quadrupole moments. Electromechanical interaction forces and their energies are calculated by assuming a distributed Lorentz force on the bound charges within the volume element. The conservation of mass, balance of momenta, conservation of energy, Faraday's, Ampere's and Gauss' laws are then postulated in integral form, from which the field equations and jump conditions are obtained systematically. An equation of entropy production is given which is used to derive a nondissipative constitutive theory. For the dissipative system there is given a properly invariant second order constitutive theory with its special forms. (See also AD-412 690) (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1964
- Accession Number
- AD0600329
Entities
People
- A. Cemal Eringen
- Roy C. Dixon
Organizations
- Purdue University