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On the figure of elastic planets I: gravitational collapse and infinitely many equilibria

Abstract:

A classic problem of elasticity is to determine the possible equilibria of an elastic planet modelled as a homogeneous compressible spherical elastic body subject to its own gravitational field. In the absence of gravity the initial radius is given and the density is constant. With gravity and for small planets, the elastic deformations are small enough so that the spherical equilibria can be readily obtained by using the theory of linear elasticity. For larger or denser planets, large deform...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Publisher copy:
10.1098/rspa.2018.0815

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Oxford college:
Lincoln College
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Oxford college:
Mansfield College
ORCID:
0000-0003-3347-6024
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Oxford college:
St Catherines College
ORCID:
0000-0002-6436-8483
Publisher:
Royal Society Publisher's website
Journal:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Journal website
Volume:
475
Pages:
2224
Publication date:
2019-04-17
Acceptance date:
2019-02-06
DOI:
EISSN:
1471-2946
ISSN:
1364-5021
Pubs id:
pubs:980416
URN:
uri:cf62e881-f9ec-4b09-a57a-4075130f9d9c
UUID:
uuid:cf62e881-f9ec-4b09-a57a-4075130f9d9c
Local pid:
pubs:980416

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