American Journal of Mathematics and Physics Application (AJMPA)
The computation of the Kadić-Edelen forces using the principle of least action.
(This article belongs to Vol - 01, Issue - 02)
In this paper, basing on the principle of least action, we calculate the forces which act on the momentum of a particle in a tensor interaction field. These forces were obtained by Kadić-Edelen within the framework of the continuum dislocation theory in analogy with electrodynamics. It is shown that: 1) the centrally symmetric force of the tensor interaction field is similar to the Coulomb force. It contains a potential term of the Euler hydrodynamics equations and is responsible for the homogeneous motions of the continuous medium; 2) the vortex force of the tensor field is similar to the Lorentz force. It coincides with the force of Peach-Koehler, in a solid state, and is responsible for the vortex motion of the continuous medium. It is concluded that the forces obtained act in any medium, and not only in a solid state, as was previously stated in the theory of Kadić-Edelen.