Summary
The problem of an impulsively applied pressure acting on the surface of a spherical cavity imbedded in an elasto-plastic medium governed by a bilinear stress-strain law is considered. The problem is solved by using a certain iterative finite difference scheme which prevents almost all the numerical oscillations which usually occur in the region behind the discontinuity at the elastic-plastic boundary, when a standard finite difference scheme is applied.
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Aboudi, J. Wave propagation from a spherical cavity imbedded in an elasto-plastic medium. J Eng Math 5, 279–287 (1971). https://doi.org/10.1007/BF01548245
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DOI: https://doi.org/10.1007/BF01548245