Journal article
The anelastic Ericksen's problem: universal eigenstrains and deformations in compressible isotropic elastic solids
- Abstract:
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The elastic Ericksen’s problem consists of finding deformations in isotropic hyperelastic solids that can be maintained for arbitrary strain-energy density functions. In the compressible case, Ericksen showed that only homogeneous deformations are possible. Here, we solve the anelastic version of the same problem, that is we determine both the deformations and the eigenstrains such that a solution to the anelastic problem exists for arbitrary strain-energy density functions. Anelasticity is d...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Authors
Funding
+ National Science Foundation
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Grant:
CMMI 1130856
ARO W911NF-16-1-0064
CMMI 1561578
Bibliographic Details
- Publisher:
- Royal Society Publisher's website
- Journal:
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Journal website
- Volume:
- 472
- Issue:
- 2196
- Pages:
- 0690
- Publication date:
- 2016-12-14
- Acceptance date:
- 2016-11-16
- DOI:
- ISSN:
-
1364-5021 and 1471-2946
Item Description
- Keywords:
- Pubs id:
-
pubs:659773
- UUID:
-
uuid:13d63f8f-1ade-43af-8d38-740a7d29970c
- Local pid:
- pubs:659773
- Source identifiers:
-
659773
- Deposit date:
- 2016-11-16
Terms of use
- Copyright holder:
- Yavari and Goriely
- Copyright date:
- 2016
- Notes:
- © The Author(s) Published by the Royal Society. All rights reserved. This is the accepted manuscript version of the article. The final version is available online from the Royal Society at: 10.1098/rspa.2016.0690
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