Shock waves in an elastic medium with cubic anisotropy |
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| Affiliation: | 1. CASA, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands;2. Institute of Mathematics, Johannes Bruns GT. 12, University of Bergen, Bergen, Norway;1. CASA, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands;2. Institute of Mathematics, Johannes Bruns GT. 12, University of Bergen, Bergen, Norway;1. CMAF-CIO, University of Lisbon, Portugal;2. Lavrentyev Institute of Hydrodynamics of SB RAS, Novosibirsk, Russia;3. Al-Farabi Kazakh National University, al-Farabi ave. 71, 050040, Almaty, Kazakhstan |
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| Abstract: | Low-intensity shock waves, propagating along the principal diagonal of a cube in an incompressible elastic medium possessing cubic symmetry, are considered. The form of the shock adiabatic in the phase plane of shears is obtained. Sections corresponding to non-decreasing entropy at the discontinuity and the conditions of evolutionarity of the discontinuity on it are indicated. The structure of the shock waves is investigated. |
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