Statistics – Computation
Scientific paper
Nov 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982jgr....87.9723b&link_type=abstract
(International Colloquium on Mars, 3rd: Dedicated to Thomas A. Mutch /1931-1980/, Pasadena, CA, Aug. 30-Sept. 2, 1982.) Journal
Statistics
Computation
118
Lithosphere, Mars Surface, Planetary Cores, Planetary Geology, Planetary Structure, Plates (Tectonics), Isostasy, Mars (Planet), Planetary Evolution, Planetary Gravitation, Stress Distribution, Topography
Scientific paper
Using the zero frequency equations of a self-gravitating elastic spherical shell overlying a strengthless fluid, a theory for stress distribution in thick lithospheric shells on one-plate planets is developed. For both the compensated and flexural modes, stress distributions in lithospheres are reviewed. For compensated modes, surface stresses depend only on surface topography, whereas for flexural modes it is shown that, for long wavelengths, stress trajectories are mainly dependent on the lithospheric lateral density distribution and not on elastic properties. Computational analyses are performed for Mars, and it is found that isostatically compensated models correctly predict the graben structure in the immediate Tharsis region and a flexural loading model is satisfactory in explaining the graben in the regions surrounding Tharsis. A three-stage model for the evolution of Tharsis is hypothesized: isostasy with north-south graben formation on Tharsis, followed by flexural loading and radial graben formation on the perimeter of Tharsis, followed by a last stage of loading with little or no regional deformation.
Banerdt Bruce W.
Phillips James R.
Saunders Stephen R.
Sleep Norman H.
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