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Model of discontinuity surface in continuum physics

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Czechoslovak Journal of Physics B Aims and scope

Abstract

In this paper we adopt the division of the discontinuity surfaces into autonomous, nonautonomous and surfaces of jump. A uniform, general integral form of balance equations (conservation laws) is derived for all three types and its localisation to the point on the discontinuity surface is carried out. In the case of the surfaces of jump the local balance equation takes the form of the Kotchine condition. Local form of the balance equations is specified for the mass, momentum, energy (total, kinetic and internal) and entropy. The equation which expresses the hypothesis of local equilibrium for a discontinuity surface is derived. This equation reflects also the phase transitions that take place in equilibrium. The relations of the derived results to other theories are discussed.

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Authors and Affiliations

  1. Faculty of Civil Engineering, Czech Technical University, Prague, Thákurova 7, 166 29, Praha 6, Czechoslovakia

    F. Vodák

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  1. F. Vodák
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Vodák, F. Model of discontinuity surface in continuum physics. Czech J Phys 28, 833–842 (1978). https://doi.org/10.1007/BF01600091

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  • DOI: https://doi.org/10.1007/BF01600091

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