Dynamic point sources in laminated media via the thin-layer method

This paper presents closed!form expressions for the Green|s functions associated with harmonic point sources acting within horizontally layered media[ These expressions are intended for use with the highly e.cient Thin!Layer Method "TLM# described elsewhere\ which is now being used widely for diverse engineering purposes[ Among the dynamic sources considered are point forces\ force dipoles "cracks and moments#\ blast loads\ seismic double couples with no net resultant\ and bimoments "moment dipoles#[ Comparisons with known analytical solutions for homogenous media demonstrate the accuracy of the formulation[ However\ the main _eld of application is laminated media\ for which no analytical solutions can be obtained[ On the other hand\ it should be noted that the computational e}ort in this method does not depend on whether the system is layered[ The resulting Green|s functions could be used to e.ciently model elastic waves in complex media by means of the Boundary Integral Method