Isogeometric Analysis of Hyperelastic Materials Using PetIGA

Handle URI:
http://hdl.handle.net/10754/552457
Title:
Isogeometric Analysis of Hyperelastic Materials Using PetIGA
Authors:
Bernal, L.M.; Calo, Victor M. ( 0000-0002-1805-4045 ) ; Collier, N.; Espinosa, G.A.; Fuentes, F.; Mahecha, J.C.
Abstract:
In this work different nonlinear hyperelastic models for slightly compressible materials are implemented in an isogeometric finite element model. This is done within the recently developed computational framework called PetIGA, which uses isoge- ometric analysis and modern computational tools to solve systems of equations directly and iteratively. A flexible theoretical background is described to implement other hyperelastic models and possibly transient problems in future work. Results show quadratic convergence of the nonlinear solution consistent with the Newton-Raphson method that was used. Finally, PetIGA proves to be a powerful and versatile tool to solve these types of problems efficiently.
KAUST Department:
Applied Mathematics and Computational Science Program; Numerical Porous Media SRI Center (NumPor); Earth Science and Engineering Program
Citation:
Isogeometric Analysis of Hyperelastic Materials Using PetIGA 2013, 18:1604 Procedia Computer Science
Journal:
Procedia Computer Science
Conference/Event name:
13th Annual International Conference on Computational Science, ICCS 2013
Issue Date:
1-Jun-2013
DOI:
10.1016/j.procs.2013.05.328
Type:
Conference Paper
ISSN:
18770509
Additional Links:
http://linkinghub.elsevier.com/retrieve/pii/S1877050913004717
Appears in Collections:
Conference Papers; Applied Mathematics and Computational Science Program; Earth Science and Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorBernal, L.M.en
dc.contributor.authorCalo, Victor M.en
dc.contributor.authorCollier, N.en
dc.contributor.authorEspinosa, G.A.en
dc.contributor.authorFuentes, F.en
dc.contributor.authorMahecha, J.C.en
dc.date.accessioned2015-05-07T13:55:14Zen
dc.date.available2015-05-07T13:55:14Zen
dc.date.issued2013-06-01en
dc.identifier.citationIsogeometric Analysis of Hyperelastic Materials Using PetIGA 2013, 18:1604 Procedia Computer Scienceen
dc.identifier.issn18770509en
dc.identifier.doi10.1016/j.procs.2013.05.328en
dc.identifier.urihttp://hdl.handle.net/10754/552457en
dc.description.abstractIn this work different nonlinear hyperelastic models for slightly compressible materials are implemented in an isogeometric finite element model. This is done within the recently developed computational framework called PetIGA, which uses isoge- ometric analysis and modern computational tools to solve systems of equations directly and iteratively. A flexible theoretical background is described to implement other hyperelastic models and possibly transient problems in future work. Results show quadratic convergence of the nonlinear solution consistent with the Newton-Raphson method that was used. Finally, PetIGA proves to be a powerful and versatile tool to solve these types of problems efficiently.en
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S1877050913004717en
dc.rightsArchived with thanks to Procedia Computer Science. http://creativecommons.org/licenses/by-nc-nd/3.0/en
dc.subjectNURBSen
dc.subjectisogeometric analysisen
dc.subjecthyperelasticityen
dc.subjectPetIGAen
dc.subjectPETScen
dc.titleIsogeometric Analysis of Hyperelastic Materials Using PetIGAen
dc.typeConference Paperen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)en
dc.contributor.departmentEarth Science and Engineering Programen
dc.identifier.journalProcedia Computer Scienceen
dc.conference.date2013-06-05 to 2013-06-07en
dc.conference.name13th Annual International Conference on Computational Science, ICCS 2013en
dc.conference.locationBarcelona, ESPen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionDepartment of Mechanical Engineering, Universidad de los Andes, Bogotá D.C., Colombiaen
dc.contributor.institutionDepartment of Civil Engineering, Universidad de los Andes, Bogotá D.C., Colombiaen
kaust.authorCalo, Victor M.en
kaust.authorCollier, Nathaniel Orenen
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