Attainment results for nematic elastomers. Issue 4 (8th July 2015)
- Record Type:
- Journal Article
- Title:
- Attainment results for nematic elastomers. Issue 4 (8th July 2015)
- Main Title:
- Attainment results for nematic elastomers
- Authors:
- Agostiniani, Virginia
Maso, Gianni Dal
DeSimone, Antonio - Abstract:
- Abstract : We consider a class of non-quasi-convex frame indifferent energy densities that includes Ogden-type energy densities for nematic elastomers. For the corresponding geometrically linear problem, we provide an explicit minimizer of the energy functional satisfying a non-trivial boundary condition. Other attainment results, both for the nonlinear and the linearised model, are obtained by using the theory of convex integration introduced by Müller and Šverák in the context of crystalline solids.
- Is Part Of:
- Proceedings. Volume 145:Issue 4(2015)
- Journal:
- Proceedings
- Issue:
- Volume 145:Issue 4(2015)
- Issue Display:
- Volume 145, Issue 4 (2015)
- Year:
- 2015
- Volume:
- 145
- Issue:
- 4
- Issue Sort Value:
- 2015-0145-0004-0000
- Page Start:
- 669
- Page End:
- 701
- Publication Date:
- 2015-07-08
- Subjects:
- nematic elastomers, -- convex integration, -- solenoidal fields
Primary 74G65, -- 74B20, -- 74B15, -- 76A15
Mathematics -- Periodicals
510 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=PRM ↗
- DOI:
- 10.1017/S0308210515000128 ↗
- Languages:
- English
- ISSNs:
- 0308-2105
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 1977.xml