A New Method for Time Domain Displacement Response due to Concentrated Vertical Force on Free Surface of Elastic Half-space
arXiv:2402.18314
Abstract
This article presents the Huygens method as a novel alternative to the Cagniard-de Hoop method, offering insights into wave generation mechanisms and facilitating wave decomposition. It holds promise for various linear boundary problems and provides results without singularities. The study defines surface waves, including the Rayleigh wave, and identifies a novel wave mode, the Huygens wave. Additionally, it investigates displacements near the axis, providing simplified approximations and examining changes in displacements over time and space, noting their gradual attenuation.