| Abstract: | We consider the structure of small-amplitude quasitransverse shock waves in a weakly anisotropic elastic medium which possesses
an internal structure generating the wave dispersion. The dispersion is modeled by introducing terms with higher derivatives
into the equations of the theory of elasticity, and the dissipation is represented by viscous terms. In one of the two possible
cases treated below, the requirement that the discontinuity structure exist leads to a set of admissible discontinuities of
complex structure. A considerable part of the shock adiabat consists of a set of short portions and separate points, the number
of which increases as the viscosity decreases. This complex set of admissible discontinuities is the general case where the
dispersion in the shock-wave structure is sufficiently strong.
Steklov Institute of Mathematics, Russian Academy of Sciences, Moscow 117526. Translated from Prikladnaya Mekhanika i Tekhnicheskaya
Fizika, Vol. 40, No. 2, pp. 174–180, March–April, 1999. |
