On the Galilean invariance of balance equation for a singular surface in continuum
Abstract
The paper contains the derivation of the Galilean invariant form of the balance equations for a singular surface. It is proved that such an invariance requires a certain structure of the surface sources. We illustrate the formal results, applying them in the theory of capillarity, the theory of very strong shock waves and the theory of Mueller's material. In the last case, we derive an inequality, limiting the strength of nonadiabatic shock waves.
 Publication:

Archiv of Mechanics, Archiwum Mechaniki Stosowanej
 Pub Date:
 1977
 Bibcode:
 1977ArMeS..29..459W
 Keywords:

 Continuum Mechanics;
 Equilibrium Equations;
 Invariance;
 Shock Wave Propagation;
 Singularity (Mathematics);
 Surface Properties;
 Capillary Flow;
 Entropy;
 Inequalities;
 Integral Equations;
 Nonadiabatic Conditions;
 Nuclear Explosions;
 RankineHugoniot Relation;
 Physics (General)