Magneto — Thermoelasticity: Course Held at the Department of by Heinz Parkus
By Heinz Parkus
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Extra info for Magneto — Thermoelasticity: Course Held at the Department of Mechanics of Solids, June – July 1972
Stratton: Electromagnetic Theory. , New York and London 1941. ~lJ C. A. Toupin: The Classical Field Theories. In: Handbuch der Physik (Herausgegeben von S. Flttgge). III/l. Springer-Verlag, Berlin 1960. References [12J [ 13J 59 C. Truesdell and W. Noll: The Non-Linear Field Theories of Mechanics. In: Handbuch der Physik (Herausgegeben von S. FIUgge). Bd. III/3. Springer-Verlag, Berlin 1965. D. M. Lifschitz: Elektrodynamik der Kontinua. Akademie-Verlag, Berlin 1967. H. Parkus: Thermoelastic equations for ferromagnetic bodies.
DV + ~o M:~ daV: }10j<~ . - V)!! 22) =p. 21) for the force, and [f. dV + d8V +/t:l .!! ;I. d v] for the moment. 1) reduce, i f - while Eqs. VxH=O, Vx v·o=O, N v . )( P is omitted. , IV the ferromagnetic body where the magnetization gradient is of great importance, the influence of the polarization gradient is neglected ( *), i. a. , the fre-e energy is assumed in the (*) Mindlin  and his coworkers have investigated this influence. Chap. 3) where represents polarization per unit of mass. ,H) tv • (-l~) Instead of F2 ,Tiersten  employs the function ~(XLIA7E~ I r) = =F2- EL ~\ .
Eld has both transverse and longitudinal components, the transverse and longitudinal elastic waves are linked together. 3 Magneto - Thennoelastic Acceleration Waves A general treatment of these waves has been given by McCarthy [2~. We shall be satisfied here with a simplified version, assuming, in addition to the linearized equations of Sec. , a perfect electrical conductor, 1/(/ =0 • With Eq. k is the pennuta tion tensor (-l~). In an acceleration wave the following conditions hold at the wave front: (a) The quantities U~, u~, &~}, 'It, E~ and B~ as well as their tangential derivatives are continuous functions of We do not explicitly separate B~ x~ and t • here into the constant ap- plied field and the small perturbation.