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Quasitransverse shock waves in elastic media with an internal structure. (English. Russian original) Zbl 0945.74040
Prikl. Mekh. Tekh. Fiz. 40, No. 2, 174-180 (1999); translation in J. Appl. Mech. Tech. Phys. 40, No. 2, 341-346 (1999).
The authors study 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 elasticity, and the dissipation is represented by viscous terms. The requirement that a discontinuity structure exists leads to a set of admissible discontinuities of complex structure. A considerable portion of the shock adiabat consists of a set of short parts and isolated points the number of which increases as the viscosity decreases. This complex behavior of admissible discontinuities is the general rule in the presence of strong dispersion in a shock wave.

74J40 Shocks and related discontinuities in solid mechanics
74E10 Anisotropy in solid mechanics