Physics
Scientific paper
Jan 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988pepi...50...52d&link_type=abstract
Physics of the Earth and Planetary Interiors, Volume 50, Issue 1, p. 52-55.
Physics
Scientific paper
We consider quasi-linear hyperbolic systems in the one-dimensional case, which are invariant with respect to infinitesimal groups of transformations and we study the propagation of weak discontinuities across a similarity line. We are led to suitable compatibility conditions which are certainly fulfilled in the case of invariance with respect to the stretching group. The results are applied to the equation governing the deformations of an infinite axi-symmetric elastic-plastic medium.
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