On the Construction of Distributed Elementary Source Self-regularized Dyadic Green's Functions

Elastodynamic simulation of complex structures built from rectangular/hexahedron building blocks are considered. For the purpose of the analysis, the structures are decomposed into the constituent fundamental rectangular- and hexahedron building blocks. The individual building blocks are excited time-harmonically by the members of a complete set of distributed elementary source, thus resulting in a number of the corresponding dyadic Green's functions. Thus derived Green's functions are by construction regularized; they are devoid of singularities, prompting the notion of distributed-source self-regularized Green's functions. The constructed Green's functions are then reduced onto the bounding surfaces of the building blocks, and stored for frequent future usage, substantially reducing the simulation time for the given composed structure. Key steps of the method have been discussed in applying the proposed technique to micro-acoustic device subsections involving isotropic and anisotropic materials.