By Kolumban Hutter
This e-book provides an intensive derivation of nonrelativistic interplay versions of electromagnetic box theories with thermoelastic solids and viscous fluids, the purpose being to derive detailed representations for the observable box amounts. This quantity is meant for and may be important to scholars and researchers engaged on all facets of electromagneto-mechanical interactions within the fabrics sciences of advanced solids and fluids.
Read Online or Download Electromagnetic Field Matter Interactions in Thermoelasic Solids and Viscous Fluids (Lecture Notes in Physics) PDF
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Extra info for Electromagnetic Field Matter Interactions in Thermoelasic Solids and Viscous Fluids (Lecture Notes in Physics)
Here, c is the speed of light in vacuo. There exists a number of other theories of electromechanical interactions in which it is claimed that terms of order V 2 /c2 are neglected (V = velocity of the particle in the body) while those containing c−2 -factor are kept. We term such approximations “semi-relativistic”. Quasistatic theories (terms, containing a c−1 -factor are neglected) will not be treated here. It is a well-known fact that ﬂuids are best handled in the spatial description. It is also known that electrodynamics is usually only formulated in the spatial description.
In order to render these ideas a little more precise, consider a stationary frame of Cartesian coordinates and a particle moving with velocity x˙ i . 5 Material Objectivity 25 frame. Electromagnetic variables as measured by an observer in this frame are called rest frame values and they are related to those in the stationary frame by a Lorentz transformation. Rest frame values will be denoted by a ◦ superimposed ring, viz. Ei etc. Of course, the Maxwell equations also hold in the rest frame (whereby all variables and operations carry the symbol ◦).
In practice, some of the above ﬁeld quantities are replaced by others, which may allow a better physical insight, but this does not change the fundamental fact that there are two basic vectorial ﬁeld quantities, while the remaining ones must be expressed in terms of the former. We shall come back to this at a later stage. 3 Material Description The balance laws listed in the previous two sections are written in the spatial or Eulerian formulation. Corresponding to these equations there is a material or Lagrangean description.
Electromagnetic Field Matter Interactions in Thermoelasic Solids and Viscous Fluids (Lecture Notes in Physics) by Kolumban Hutter