Studia Geophysica et Geodaetica

, Volume 33, Issue 2, pp 177–197 | Cite as

Spherical tensor approach to the solution of the mantle stress problem

  • Ondřej Čadek
  • M. Pick
  • J. Šílený
Article

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.

Резюме

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.

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Copyright information

© Academia, Publishing House of the Czechoslovak Academy of Sciences 1989

Authors and Affiliations

  • Ondřej Čadek
    • 1
  • M. Pick
  • J. Šílený
  1. 1.Department of Geophysics and Meteorology, Faculty of Mathematics and PhysicsCharles UniversityPrague

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