Journal ArticleDOI
The impulse response of a Maxwell Earth
TLDR
In this paper, an extended form of the correspondence principle is employed to determine directly the quasi-static deformation of viscoelastic earth models by mass loads applied to the surface.Abstract:
An extended form of the correspondence principle is employed to determine directly the quasi-static deformation of viscoelastic earth models by mass loads applied to the surface. The stress-strain relation employed is that appropriate to a Maxwell medium. Most emphasis is placed on the discussion of spherically stratified self-gravitating earth models, although some consideration is given to the uniform elastic half space and to the uniform viscous sphere, since they determine certain limiting behaviors that are useful for interpretation and proper normalization of the general problem. Laplace transform domain solutions are obtained in the form of ‘s spectra’ of a set of viscoelastic Love numbers. These Love numbers are defined in analogy with the equivalent elastic problem. An efficient technique is described for the inversion of these s spectra, and this technique is employed to produce sets of time dependent Love numbers for a series of illustrative earth models. These sets of time dependent Love numbers are combined to produce Green functions for the surface mass load boundary value problem. Through these impulse response functions, which are obtained for radial displacement, gravity anomaly, and tilt, a brief discussion is given of the approach to isostatic equilibrium. The response of the earth to an arbitrary quasi-static surface loading may be determined by evaluating a space-time convolution integral over the loaded region using these response functions.read more
Citations
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Journal ArticleDOI
A Full‐Maxwell Approach for Large‐Angle Polar Wander of Viscoelastic Bodies
TL;DR: Hu et al. as mentioned in this paper analyzed the effect of the viscosity of the lithosphere on long-term, large-angle true polar wander (TPW) for a model based on Maxwell rheology.
Journal ArticleDOI
Strain Localization in an Oscillating Maxwell Viscoelastic Cylinder.
TL;DR: The transient rotation responses of simple, axisymmetric, viscoelastic structures are of interest for interpretation of experiments designed to characterize materials and closed structures such as the brain using magnetic resonance techniques, and the solution is surprising: the strain field develops a singularity that appears when the wavefront leaves the center of the cylinder, and persists as the wave front reflects to the outer boundary and back to the center.
Journal ArticleDOI
Closed-Form Expressions of Seismic Deformation in a Homogeneous Maxwell Earth Model
True polar wander on convecting planets
TL;DR: In this paper, a scaling analysis of true polar wander on convecting planets using scaling, numerics, and inverse problems is presented. But it does not account for the uncertainties in the position and timing of paleomagnetic pole paths, and the resulting uncertainties are difficult to interpret.
Journal ArticleDOI
Lithosphere deformation by continental ice sheets
TL;DR: In this paper, an investigation of viscoplastic deformation in anisotropic polycrystalline rocks leads to the conclusion that transient creep in the lithosphere is predominantly time-dependent viscous flow, but that slow steady-state creep is time-independent viscoprocessor flow and begins at a viscoprecoelastic yield stress.
References
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Journal ArticleDOI
Diffusional Viscosity of a Polycrystalline Solid
TL;DR: In this article, it is suggested that mosaic boundaries and boundaries between grains of nearly the same orientation may not serve as sources or sinks of the diffusion currents, in which case the creep rate will depend only on the configuration of grain boundaries having a sizable orientation differen...
Journal ArticleDOI
Deformation of the Earth by surface loads
TL;DR: In this article, the static deformation of an elastic half-space by surface pressure is reviewed and a brief mention is made of methods for solving the problem when the medium is plane-strategized, but the major emphasis is on the solution for spherical, radially stratified, gravitating earth models.
Journal ArticleDOI
The Resolving Power of Gross Earth Data
George E. Backus,Freeman Gilbert +1 more
TL;DR: In this article, the authors show how to determine whether a given finite set of gross Earth data can be used to specify an Earth structure uniquely except for fine-scale detail, and the shortest length scale which the given data can resolve at any particular depth.