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Spherical tensor approach to the solution of the mantle stress problem

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Пре¶rt;ложен меmо¶rt; рaсчеma нanряженuŭ в мaнmuu, коmорыŭ основaн нa nрuмененuu annaрama сферuческuхгaрмонuческuх mензоров. Пре¶rt;nолaгaеmся, чmо рaзложенuе nлоmносmu uгрaвumaцuонного nоmенцuaлa nо сферuческuм функцuям uзвесmно u чmо мaнmuя nре¶rt;сmaвляеm собоŭ вязкую жu¶rt;косmь со сферuческuмuгрaнuцaмu. Обсуж¶rt;ены возможносmu обобщенuя меmо¶rt;a нa случaŭ более сложноŭ реологuu сре¶rt;ы u несферuческоŭ формыгрaнuцы.

Summary

The technique of spherical tensors is applied to the problem of stress in the mantle. An efficient method for stress computation is developed for the Newtonian mantle with spherical boundaries assuming that the density and gravitational potential in the form of harmonic expansions are known. The ways of including more complicated rheological models as well as the non-spherical shape of boundaries are outlined.

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Authors and Affiliations

  1. Department of Geophysics and Meteorology, Faculty of Mathematics and Physics, Charles University, Prague

    Ondřej Čadek

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  1. Ondřej Čadek
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Čadek, O. Spherical tensor approach to the solution of the mantle stress problem. Stud Geophys Geod 33, 177–197 (1989). https://doi.org/10.1007/BF01646583

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  • DOI: https://doi.org/10.1007/BF01646583

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