Abstract
By adopting the self-consistent Einstein model for elastic solids and by using the method of singular surface, adiabatic and isothermal acceleration waves in elastic solids in the vicinity of the melting point are studied theoretically. The propagation velocities of the waves are determined and differential equations which govern the variation of amplitudes with time are obtained. It is shown that properties of solid materials near the melting point reflect sensitively on the wave propagations. The following facts are also shown: 1. (1) The variation of amplitudes may have a universal character irrespective of elastic solids. 2. (2) There exist singularities in the temperature dependences of the wave propagations just at the melting point.
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