Elastic waves in a multilayered solid due to a dislocation source

A modified version of the wave number integral approach is applied to the calculation of the motion produced in a multilayered solid by dynamic sources. A new method of pole removal is introduced to facilitate separation of the continuous and the discrete spectral responses of the medium. The well-known numerical difficulties associated with the calculation of the integrands of the continuous spectra and the mode shapes of the discrete spectra are avoided through the use of delta matrices. Special numerical integration schemes are used to calculate the body wave integrals accurately at smaller distances and higher frequencies.