Static Mantle Density Distribution 3 Dimpling and Bucking of Spherical Crust

Static Mantle Density Distribution 3 Dimpling and Bucking of Spherical Crust

Tian-Quan Yun *

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Static Mantle Density Distribution 3 Dimpling and Bucking of Spherical Crust

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Abstract

This paper is the third step of project “Static mantle distribution, Equation, Solution and Application”. It consists of , , and this paper. Our result on shape of core is a “X type”, which differs from the traditional view that core is a sphere. Which one is correct? or, both are not correct? The aim of this paper is to study dimpling and bucking of the spherical crust under mantle loading. Dimpling analysis depends on the outer solution of non-homogeneous non-linear D. E., while bucking analysis depends on non-linear Eigen value of the homogeneous D. E The results based on two models and governing equations show that crust dimpled at poles is proved theoretically and numerical result well consists with pole radius, while the non-linear bucking Eigen value boundary problem is solved by decomposition method. The results show that bucking can occur, and the un-continuity of internal force per unit length causes un-continuity of masses by mantle material emitting to crust at turning point of “X”. The growing of Tibet high-land might be viewed as an evidence of the mass m s (θ 0 ) increasing due to mantle emission. Both poles radius and equatorial radius have been used to support our analysis. Question: how the nature makes cold at poles?

References

18 Cites in Article

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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How to Cite This Article

Tian-Quan Yun. 2020. "Static Mantle Density Distribution 3 Dimpling and Bucking of Spherical Crust". Global Journal of Science Frontier Research - A: Physics & Space Science GJSFR-A Volume 20 (GJSFR Volume 20 Issue A8).

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GJSFR Volume 20 Issue A8

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-A Classification FOR Code: 010599

Submission ReceivedJanuary 1, 1970
Peer Review Double Blind
Handling Editor
Accepted January 1, 1970

Version of record

v1.2

Issue date

July 22, 2020

Language

English

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