A Neumann series representation for solutions to boundary-value problems in dynamic elasticity
Open Access
- 1 January 1975
- journal article
- Published by American Mathematical Society (AMS) in Quarterly of Applied Mathematics
- Vol. 33 (1) , 73-80
- https://doi.org/10.1090/qam/449124
Abstract
A regularized integral equation formulation for two exterior fundamental boundary-value problems in elastodynamics is presented. In either case, the displacement vector is assumed to be harmonic in time with a small frequency. It is shown that the solution can be expressed as a Neumann series in terms of the prescribed function; moreover, a sufficient condition for the convergence of the series is established.Keywords
This publication has 3 references indexed in Scilit:
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