Abstract
IT may be shown theoretically that when plane mechanical pulses of finite amplitude travel in non-dispersive media, the velocity of propagation in space is given by c + V where c = (S/ρ)1/2, S being the tangent modulus of the material and ρ its density, and V is the particle velocity associated with the pulse. If S increases with increasing amplitude of deformation, the head of the pulse will become steeper as it travels through the medium and it will eventually become a shock front, the gradient of which is limited by dissipative processes, such as internal friction and thermal conductivity. Such compressive shock waves are well known in fluids and in recent years similar shock waves have been produced and studied in blocks of solids1.
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References
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KOLSKY, H. Production of Tensile Shock Waves in Stretched Natural Rubber. Nature 224, 1301 (1969). https://doi.org/10.1038/2241301a0
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DOI: https://doi.org/10.1038/2241301a0
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