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Inverse membrane problems in elasticity

Abstract:

The inverse elasticity problem of determining the undeformed, deflated, configuration of a nonlinear elastic membrane, given the deformed configuration enclosing an incompressible fluid under known pressure, is considered. It is shown that, in practical cases, it is enough to determine only the undeformed metric tensor, and it is also shown how the two- and three-dimensional cases are fundamentally different. For the three-dimensional case, we set up and classify the partial differential equa...

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Publisher copy:
10.1093/qjmam/hbn026

Authors


Journal:
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS
Volume:
62
Issue:
1
Pages:
67-87
Publication date:
2009-02-01
DOI:
ISSN:
00335614
URN:
uuid:12612ca0-5c85-41c0-848f-de28e507ddf6
Local pid:
cs:4118

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