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- W2018323911 abstract "Solving the Navier equations for a spherical Earth model subject to a surface load, it is shown that the maximum shear stress (MSS) generated by the short wavelengths of the topographic load is relevant only in the uppermost part of the crust. In the mantle, only the MSS generated by the long wavelengths is relevant. Assuming that the rheological properties of the mantle and of the crust are governed by laws similar to those found in the laboratory for many metals, polimers, corning and glassy materials and represented by stress-strain relations containing derivatives of fractional order, it is shown that the creep and relaxation in a sphere subject to a surface load are dependent on the wavenumber of the load: a feature identified with a long-wavelength creeps faster than one identified with a short-wavelength.Fourier analysis of the Apennines shows that the topographic features with wavelength w have Fourier amplitude proportional to a power of w. The stress due to the long-wavelength topographic load, which is mainly governed by the rheology of the mantle, is isostatically supported, while the stress due to the short wavelength is supported elastically and governed by the rheology of the crust. The elevation of a topographic feature with a base of few kilometers, 2 Myr after its formation, is reduced to 82% and causes a creep of the upper crust of 3.7×10-3 cm/year (which is comparable to the erosion rate in mountains covered with trees)." @default.
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- W2018323911 date "1993-01-01" @default.
- W2018323911 modified "2023-10-16" @default.
- W2018323911 title "The Stress Field in the Crust and the Sinking of Mountains." @default.
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- W2018323911 doi "https://doi.org/10.4294/jpe1952.41.109" @default.
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