A dynamic 3D Green's function for the homogeneous, isotropic and viscoelastic (of the Zener type) half-space is derived in a closed form. The results obtained here can be used as either stand-alone solutions for simple problems or in conjunction with a boundary integral equation formulations to account for complex boundary conditions. In the later case, mesh-reducing boundary element formulations can be constructed as an alternative method for numerical implementation purposes.
@article{arxiv.2308.08184,
title = {Green's function for the viscoelastic and isotropic half-space},
author = {Tsviatko V. Rangelov and Petia S. Dineva and George D. Manolis},
journal= {arXiv preprint arXiv:2308.08184},
year = {2024}
}