Summary
The transfer matrix of a layer is derived from the dynamic equations of a continuum reinforced with very thin unstretchable membranes. For the case of a periodically spaced reinforcement, the finite difference method enables to find closed solutions. The elastic wave propagation in a half-space is investigated, and it is shown that the only possible nonattenuating wave has the velocityc 2 of the shear wave.
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References
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Hanuška, A. Contribution to the dynamics of a horizontally unstretchable half-space of the westergaard type. Arch. Appl. Mech. 66, 65–70 (1995). https://doi.org/10.1007/BF00786689
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DOI: https://doi.org/10.1007/BF00786689