By H. Görtler (auth.), Henry Görtler (eds.)
Read Online or Download Applied Mechanics: Proceedings of the Eleventh International Congress of Applied Mechanics Munich (Germany) 1964 PDF
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Additional resources for Applied Mechanics: Proceedings of the Eleventh International Congress of Applied Mechanics Munich (Germany) 1964
Dinate system, of electric current vectors, and the vectors of electric and magnetic tensions; pk and Mk the components of the polarization and magnetization vectors; gcxß the contravariant components of the metric tensor; 12 the density; ecxß and w cxß the components of the rate of deformation and curl tensors. 15 Some problems of designing new models of continuum media dA"/ dA"/ The derivatives ~ and ~- are taken relative to the frozen in the medium coordinate system. ii = wii). Elaborated state equations can also be obtained in the moregeneraland practically important case when the internal energy depends also Oll the gradients 171c m/.
5) implies no assumptions concerning the properties of the physical medium or the smallness of rates or accelerations of the medium. Similar theories and formulae in different particular cases, usually for small rates and deformations, or with some other assumptions, have been considered by a nurober of authors. One recent paper in this subject belongs - for the case of plasma - to BoA-TEH 0Hu, and another - for the case of solid bodies - to K. B. VLASOV and B. KR. IsHMUKHAMETOV. 4. The system of determining parameters contains successive derivatives with respect to coordinates and time Suppose the state and motion of a small particle is determined by a set of parameters flv fl2• · · · fl1c • After some transformation the equation for the heat influx which follows from Eq.
3) are true within the limits of the special relativity theory. The expression dQ: = Q4 d-r: dt in the case of bodies interacting with an electromagnetic field has been studied mainly for bodies at rest or inertial systems. In the following the expression for dQ: will be considered in the general case with interaction between the field and any physical medium: plasma-gas, fluid, or solid body under arbitrary motion of medium with accelerations and finite deformations. The solution of this problern has been undertaken according to the merits of the matter, through the special relativity theory.
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