Vis enkel innførsel

dc.contributor.advisorKvamsdal, Trondnb_NO
dc.contributor.advisorMathisen, Kjell Magnenb_NO
dc.contributor.advisorJohannessen, Kjetilnb_NO
dc.contributor.authorRaknes, Siv Bentenb_NO
dc.date.accessioned2014-12-19T13:58:47Z
dc.date.available2014-12-19T13:58:47Z
dc.date.created2011-05-06nb_NO
dc.date.issued2011nb_NO
dc.identifier415385nb_NO
dc.identifierntnudaim:5814nb_NO
dc.identifier.urihttp://hdl.handle.net/11250/258807
dc.description.abstractIn this thesis we have given an introduction to isogeometric finite element analysis on linear elasticity problems in 2D using non uniform rational B-splines (NURBS) as basis functions. We have studied the theory of B-splines and have derived the equations needed to perform linear elasticity stress analysis. An isogeometric finite element solver has been programmed in MATLAB. We have also analyzed the effect degenerated mappings have on the derivatives of the basis functions. We started by looking at a quadrilateral collapsing to a triangle, considering different parameterizations and their impact on the derivatives. We found that the derivatives were no longer in H^1 and that our basis was not a proper basis for finite element analysis. Our solution to this problem is to form a new set of basis functions by summing the basis functions at the singular points. Further we have applied this approach on a circular surface and an infinite plate with a circular hole.nb_NO
dc.languageengnb_NO
dc.publisherInstitutt for matematiske fagnb_NO
dc.subjectntnudaim:5814no_NO
dc.subjectSIF3 fysikk og matematikkno_NO
dc.subjectIndustriell matematikkno_NO
dc.titleIsogeometric Analysis and Degenerated Mappingsnb_NO
dc.typeMaster thesisnb_NO
dc.source.pagenumber113nb_NO
dc.contributor.departmentNorges teknisk-naturvitenskapelige universitet, Fakultet for informasjonsteknologi, matematikk og elektroteknikk, Institutt for matematiske fagnb_NO


Tilhørende fil(er)

Thumbnail
Thumbnail

Denne innførselen finnes i følgende samling(er)

Vis enkel innførsel