The normal modes of a uniform, compressible Maxwell half-space
Item
Title (Dublin Core)
en-US
The normal modes of a uniform, compressible Maxwell half-space
Description (Dublin Core)
en-US
The analytical solution for the load-induced deformation of a uniform, compressible, hydrostatically pre-stressed elastic half-space is derived. The solution is correct to first order in the quantity ε, which is inversely proportional to the wave number k of the deformation. Usually ε is very small compared with unity for Earth deformations on a scale amenable to the half-space approximation. Since pre-stress advection is included in the analysis, the correspondence principle allows us to solve the field equations governing the deformation of the associated Maxwell half-space. The viscoelastic solution shows that the relaxation of the Maxwell continuum is characterized by a fundamental mode and a rapidly decaying overtone of much smaller amplitude. In the incompressible limit the overtone is not excited. The significance of the results for the relaxation of the Earth's mantle is briefly discussed.
ARK: https://n2t.net/ark:/88439/y075549
Permalink: https://geophysicsjournal.com/article/207
ARK: https://n2t.net/ark:/88439/y075549
Permalink: https://geophysicsjournal.com/article/207
Creator (Dublin Core)
Wolf, D.
Subject (Dublin Core)
en-US
Compressibility
en-US
Maxwell continuum
en-US
Normal modes
en-US
Theory
Publisher (Dublin Core)
en-US
Journal of Geophysics
Date (Dublin Core)
1984-12-13
Type (Dublin Core)
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
en-US
Peer-reviewed Article
Format (Dublin Core)
application/pdf
Identifier (Dublin Core)
https://journal.geophysicsjournal.com/JofG/article/view/207
Source (Dublin Core)
en-US
Journal of Geophysics; Vol 56 No 1 (1985): Journal of Geophysics; 100-105
2643-2986
2643-9271
Language (Dublin Core)
eng
Relation (Dublin Core)
https://journal.geophysicsjournal.com/JofG/article/view/207/167