Relativistic kinematics of deformable continua-I

TL;DR: In this article, the authors formulate the global expression of balance of energy starting from the relativistic definition of force, mechanical work, heat supply, and kinetic energy, and prove that invariance under Lorentz transformation leads to the local expression for balance of momentum and to the equation of decomposition of the energy-momentum tensor.

TL;DR: In this paper, a relativistic analysis of quasi-Rivlin-Ericksen materials with electromagnetic response is presented to obtain restrictions on the constitutive equations of the free energy functional.

TL;DR: In this paper, the restrictions in the form of constitutive functions of relativistic continuum physics resulting from the requirement of form-invariance under the Lorentz group are examined.

TL;DR: In this paper, the relativistic kinematics of the motion of a continuum is studied by establishing certain invariant derivatives of measures of deformation, and rigid body motion of the continuum in the Born sense is discussed.

TL;DR: The Mecanique des sols Reference Record was created on 2004-09-07, modified on 2016-08-08 as mentioned in this paper, and is based on the Milieux poreux reference record.

TL;DR: In this paper, the authors present a detailed analysis of the starre Korper der alten Mechanik and its relation to the hyperbelbewegung of starren Elektrons, as well as a transformation of the Wellengleichung, the potentiale and the Feldstarrken auf ein mitbwegtes Koordinatensystem.