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On the growth and decay of wave fronts in a mixture of linear elastic materials

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Summary

This work concerns the propagation of wave fronts in a mixture of fluids and isotropic solids. Only mechanical effects are included. In the statement of the field equations the importance of buoyancy forces is stressed. These forces arise from a local interaction among the constituents of the mixture and are present even in the absence of diffusion. It is shown that there are as many longitudinal waves possible as there are constituents and that there are as many transverse waves possible as there are solid constitutents. Rules for the evolution of discontinuities on wave fronts are deduced, and it is shown that diffusion causes a decay in the wave strength in addition to the usual geometric decay familiar from classical elasticity.

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Authors and Affiliations

  1. Houston, U. S. A.

    Ray M. Bowen

  2. Aberdeen, U. S. A.

    Thomas W. Wright

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  1. Ray M. Bowen
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  2. Thomas W. Wright
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Bowen, R.M., Wright, T.W. On the growth and decay of wave fronts in a mixture of linear elastic materials. Rend. Circ. Mat. Palermo 21, 209–234 (1972). https://doi.org/10.1007/BF02843788

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  • DOI: https://doi.org/10.1007/BF02843788

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