Applied Mechanics: Proceedings of the Eleventh International by H. Görtler (auth.), Henry Görtler (eds.)

By H. Görtler (auth.), Henry Görtler (eds.)

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Extra info for Applied Mechanics: Proceedings of the Eleventh International Congress of Applied Mechanics Munich (Germany) 1964

Example text

Flk and of some other quantities, for example the components of the stress tensor, etc. which in turn may be treated as the required functions of the determining parameters. Let us now consider the models of media for which the parameters fll, p,2 , ••• flk and their increments dp,v ... n assume, within certain ranges for various processes resulting from different external conditions, all possible values there being no universallinear homogeneous relationships between the increments dfll, ... dp,k which would be valid in all possible processes.

1) B··· T 'X·(] - - , •J 2 Görtler, Applied Mechanics (/ 18 L. I. SEDOV where B;; are the components of the deformation tensor, e the density, and pii = pii the components of the internal stresses tensor. The parameter Xis a physical or chemical characteristic of the particle state. se where there are several parameters of such nature is quite possible. 1). The first and the second law of thermodynamics can be written in the form: dF - atxß detxß here + 8 dT = and d - dQ(e) q-dm and - dq' T d8 = dq with d ' = dQ' q dm' + dq', dQ** = 0.

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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