Relativistic Continuum Theory for the Interaction of Electromagnetic Fields with Deformable Bodies
- 1 January 1970
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 11 (1) , 109-113
- https://doi.org/10.1063/1.1665034
Abstract
A variational principle is formulated which yields the balance laws and constitutive equations of a nonconducting, charge‐free elastic solid interacting with electromagnetic fields. It is found that the form of the total energy‐momentum tensor and the constitutive equations that follow from a Lagrangian action which depends arbitrarily on the inverse deformation gradients and the electromagnetic field tensor are identical to those obtained by formulating a constitutive theory of a nondissipative material based on the basic mechanical, thermodynamical, and electromagnetic balance laws of a continuum.Keywords
This publication has 3 references indexed in Scilit:
- Relativistic continuum mechanics part I—mechanics and thermodynamicsInternational Journal of Engineering Science, 1966
- Stress tensors in elastic dielectricsArchive for Rational Mechanics and Analysis, 1960
- On the Hamilton-Jacobi theory and quantization of generalized electrodynamicsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1938