Spectral Domain Approach for the Numerical Modeling of Elastodynamic Fields in Layered Structures

We review the concept and utilization of a semi-numerical method based on Stroh’s formalism for modeling elastodynamic fields in stratified (layered) media and demonstrate its application to selected problems comprising linear piezoelectric, elastic, and liquid domains thus illustrating its versatility. Particular features of this method, which is based on the Boundary Element Method (BEM) are the representation of the considered fields in a spectral domain obtained by implementing a spatial Fourier transformin two dimensions. By doing so, Green’s functions required for the BEM model can be established for layered structures fully considering the interface discontinuities associated with such geometries such that these interfaces between the layers do not have to be discretized anymore.