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Anticavitation and Differential Growth in Elastic Shells

Abstract:

Elastic anticavitation is the phenomenon of a void in an elastic solid collapsing on itself. Under the action of mechanical loading alone typical materials do not admit anticavitation. We study the possibility of anticavitation as a consequence of an imposed differential growth. Working in the geometry of a spherical shell, we seek radial growth functions which cause the shell to deform to a solid sphere. It is shown, surprisingly, that most material models do not admit full anticavitation, e...

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Publication status:
Published

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Publisher copy:
10.1007/s10659-010-9266-5

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
JOURNAL OF ELASTICITY
Volume:
102
Issue:
2
Pages:
117-132
Publication date:
2011-02-05
DOI:
EISSN:
1573-2681
ISSN:
0374-3535
URN:
uuid:45fd08c9-6a1b-42eb-858b-0e5f67db9aca
Source identifiers:
188865
Local pid:
pubs:188865

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