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The Quarterly Journal of Mechanics and Applied Mathematics 1957 10(4):465-481; doi:10.1093/qjmam/10.4.465
© 1957 by Oxford University Press
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CYLINDRICAL STRESS WAVES IN FLAT SLABS{dagger}

NORMAN DAVIDS {ddagger} and SUDHIR KUMAR §

( University Park, Pa. )

After developing Goodman's solution for radially symmetric modes of stress wave propagation in infinite slabs, this paper gives first a detailed analysis of the determination of the various modes. Then, curves of both the non-dimensional phase and group velocities are given for Poisson's ratio from zero to half. The form of excitation at the centre is discussed as well as the limiting cases for thin slabs and surface waves. The theoretical curves are compared with some recent experimental data from Bell Telephone Laboratories and fairly good agreement was found. Some experimental work at Frankford Arsenal is also discussed from the point of view of the present theory.


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