Abstract

The dilatational wave velocity theoretically tends to infinity as Poisson's ratio approaches 0·5. This infinite wave velocity can cause serious numerical difficulty in boundary element analyses of dynamic incompressible problems. This paper shows that when Poisson's ratio equals 0·5 Stokes' solutions are independent of the dilatational wave velocity. Consequently, by using the modified fundamental solutions, the boundary element method can effectively analyse dynamic incompressible problems without special difficulty.

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