Publication
Shape analysis of an adaptive elastic rod model
| dc.contributor.author | Figueiredo, Isabel | |
| dc.contributor.author | Leal, Carlos | |
| dc.contributor.author | Pinto, Cecília | |
| dc.date.accessioned | 2015-02-09T15:19:06Z | |
| dc.date.available | 2015-02-09T15:19:06Z | |
| dc.date.issued | 2005-10-17 | |
| dc.description.abstract | We analyze the shape semiderivative of the solution to an asymptotic nonlinear adaptive elastic rod model, derived in Figueiredo and Trabucho [Math. Mech. Solids, 9 (2004), pp. 331–354], with respect to small perturbations of the cross section. The rod model is defined by generalized Bernoulli–Navier elastic equilibrium equations and an ordinary differential equation with respect to time. Taking advantage of the model’s special structure and the regularity of its solution, we compute and completely identify, in an appropriate functional space involving time, the weak shape semiderivative | por |
| dc.description.sponsorship | FCT–POCTI/MAT/59502/2004 of Portugal | por |
| dc.identifier.doi | 10.1137/040604443 | |
| dc.identifier.uri | http://hdl.handle.net/10400.19/2601 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | SIAM J. APPL. MATH. | por |
| dc.relation | HRN-CT-2002-00284 | por |
| dc.relation.ispartofseries | 1; | |
| dc.subject | adaptive elasticity | por |
| dc.subject | rod | por |
| dc.subject | shape derivative | por |
| dc.title | Shape analysis of an adaptive elastic rod model | por |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 173 | por |
| oaire.citation.startPage | 153 | por |
| oaire.citation.title | 2005 Society for Industrial and Applied Mathematics | por |
| oaire.citation.volume | 66 | por |
| rcaap.rights | openAccess | por |
| rcaap.type | article | por |
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