Work

Vibrations of an Elastic Half-Space

Year: 2025

Type: article

Abstract: We report on the resolution of the vibration problem for a homogeneous and isotropic elastic half-space (the Lamb problem), with application to the seismic tensorial force. We assume a homogeneous and isotropic half-space with a localized force which produces vibrations. The solution is achieved by introducing vector plane-wave functions. Explicit results are given for an isotropic tensorial force and a half-space with free surface. The contribution of the Rayleigh surface waves to vibrations is analyzed in the special case of a temporal-impulse force, where the solution exhibits unphysical features, as expected: it extends over the entire free surface and time domain, with a (scissor-like) double-wall propagating both in the future and the past.

Source: Geosciences

DOI: 10.3390/geosciences15040144

Author: Bogdan Felix Apostol

Institution: Institutul National de Cercetare si Dezvoltare pentru Fizica Pamantului

Language: English

Topic: Seismic Waves and Analysis

Subfield: Geophysics

Field: Earth and Planetary Sciences

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,172

Funder: Ministerul Cercetării, Inovării şi Digitalizării