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dc.contributor.authorNiemi, Antti
dc.contributor.authorCollier, Nathan
dc.contributor.authorDalcín, Lisandro D.
dc.contributor.authorGhommem, Mehdi
dc.contributor.authorCalo, Victor M.
dc.date.accessioned2015-08-04T07:05:03Z
dc.date.available2015-08-04T07:05:03Z
dc.date.issued2012-09-04
dc.identifier.citationNiemi, A. H., Collier, N., Dalcin, L., Ghommem, M., & Calo, V. M. (n.d.). Isogeometric Shell Formulation based on a Classical Shell Model. Proceedings of the Eleventh International Conference on Computational Structures Technology. doi:10.4203/ccp.99.221
dc.identifier.isbn9781905088546
dc.identifier.doi10.4203/ccp.99.221
dc.identifier.urihttp://hdl.handle.net/10754/564609
dc.description.abstractThis paper constitutes the first steps in our work concerning isogeometric shell analysis. An isogeometric shell model of the Reissner-Mindlin type is introduced and a study of its accuracy in the classical pinched cylinder benchmark problem presented. In contrast to earlier works [1,2,3,4], the formulation is based on a shell model where the displacement, strain and stress fields are defined in terms of a curvilinear coordinate system arising from the NURBS description of the shell middle surface. The isogeometric shell formulation is implemented using the PetIGA and igakit software packages developed by the authors. The igakit package is a Python package used to generate NURBS representations of geometries that can be utilised by the PetIGA finite element framework. The latter utilises data structures and routines of the portable, extensible toolkit for scientific computation (PETSc), [5,6]. The current shell implementation is valid for static, linear problems only, but the software package is well suited for future extensions to geometrically and materially nonlinear regime as well as to dynamic problems. The accuracy of the approach in the pinched cylinder benchmark problem and present comparisons against the h-version of the finite element method with bilinear elements. Quadratic, cubic and quartic NURBS discretizations are compared against the isoparametric bilinear discretization introduced in [7]. The results show that the quadratic and cubic NURBS approximations exhibit notably slower convergence under uniform mesh refinement as the thickness decreases but the quartic approximation converges relatively quickly within the standard variational framework. The authors future work is concerned with building an isogeometric finite element method for modelling nonlinear structural response of thin-walled shells undergoing large rigid-body motions. The aim is to use the model in a aeroelastic framework for the simulation of flapping wings.
dc.publisherCivil-Comp, Ltd.
dc.titleIsogeometric shell formulation based on a classical shell model
dc.typeConference Paper
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentEnvironmental Science and Engineering Program
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalProceedings of the Eleventh International Conference on Computational Structures Technology
dc.conference.date4 September 2012 through 7 September 2012
dc.conference.name11th International Conference on Computational Structures Technology, CST 2012
dc.conference.locationDubrovnik
dc.contributor.institutionConsejo Nacional de Investigaciones Científicas y Técnicas, Santa Fe, Argentina
kaust.personNiemi, Antti
kaust.personCollier, Nathan
kaust.personCalo, Victor M.


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