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- W4210599744 abstract "Publisher SummaryThis chapter explains the elastic deformations of a rotating earth caused by surface loads. The chapter considers a rotating spheroidal earth, which is in hydrostatic equilibrium under the influence of self-gravitation and its rotational acceleration. It is assumed that the rotational axis is fixed with respect to the spheroid and the angular velocity is constant. The chapter also discusses the elastic yielding of the various layers comprising the earth's interior to gravity and centrifugal force. This yielding produces a variation in density distribution, which is obtainable from the continuity equation and generates a deformation potential, satisfying the Poisson equation. Elaborating on the equation of angular momentum, a linearized version of the Navier–Stokes equation is obtained and solutions in the form of spheroidal and toroidal deformations are examined. Retention of the centrifugal acceleration in the equations of motion introduces terms, which consist of the product of Legendre polynomials and their derivatives. To represent the spheroidal components of such products, Adams–Neumann product formula of the Legendre polynomials is explained." @default.
- W4210599744 created "2022-02-08" @default.
- W4210599744 date "1982-01-01" @default.
- W4210599744 modified "2023-09-27" @default.
- W4210599744 title "Chapter III Elastic Deformations of a Rotating Earth Caused by Surface Loads" @default.
- W4210599744 doi "https://doi.org/10.1016/s0074-6142(08)60469-6" @default.
- W4210599744 hasPublicationYear "1982" @default.
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