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The mathematical foundations of anelasticity: Existence of smooth global intermediate configurations

Abstract:

A central tool of nonlinear anelasticity is the multiplicative decomposition of the deformation tensor that assumes that the deformation gradient can be decomposed as a product of an elastic and an anelastic tensor. It is usually justified by the existence of an intermediate configuration. Yet, this configuration cannot exist in Euclidean space, in general, and the mathematical basis for this assumption is on unsatisfactory ground. Here, we derive a sufficient condition for the existence of g...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1098/rspa.2020.0462

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0002-6436-8483
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Name:
Engineering and Physical Sciences Research Council
Grant:
EP/R020205/1
Publisher:
Royal Society
Journal:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences More from this journal
Volume:
477
Issue:
2245
Publication date:
2021-01-06
Acceptance date:
2020-12-01
DOI:
EISSN:
1471-2946
ISSN:
1364-5021
Language:
English
Keywords:
Pubs id:
1147509
Local pid:
pubs:1147509
Deposit date:
2020-12-02

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