Reviews of Geophysics · 1972 · 1.8K citations · 45 references
Natural SciencesEarth SciencesGeophysicsGeotechnical EngineeringGravitySoil MechanicsEarth PressureElastic DeformationElasticity TheoryGeodynamic ModelingGeomechanicsStrain In The EarthAnelastic Earth ResponseDeformationElastic Deformation ModelsElastic Earth ResponseElastic LoadingStatic Load AnalysisStress Under Surface LoadsSurface Pressure
The static deformation of an elastic half‐space by surface pressure is reviewed. A brief mention is made of methods for solving the problem when the medium is plane stratified, but the major emphasis is on the solution for spherical, radially stratified, gravitating earth models. Love‐number calculations are outlined, and from the Love numbers, Green's functions are formed for the surface mass‐load boundary‐value problem. Tables of mass‐load Green's functions, computed for realistic earth models, are given, so that the displacements, tilts, accelerations, and strains at the earth's surface caused by any static load can be found by evaluating a convolution integral over the loaded region.
45
A Treatise on the Theory of Bessel Functions.
Matthew Porter, G. N. Watson · American Mathematical Monthly · 1923 · 9.6K citations
Table of Integrals, Series, and Products
D. S., I. S. Gradshteyn, I.M. RYZHIK · Mathematics of Computation · 1966 · 8.2K citations
Introduction to Numerical Analysis.
David C. Young, F. B. Hildebrand · American Mathematical Monthly · 1957 · 754 citations
Propagation matrices in elastic wave and vibration problems
Freeman Gilbert, George E. Backus · Geophysics · 1966 · 566 citations
Natural Sciences, Physics, Acoustics +16