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dc.contributor.authorDuddu, Ravindra
dc.contributor.authorLavier, Luc L.
dc.contributor.authorHughes, Thomas Jr R
dc.contributor.authorCalo, Victor M.
dc.date.accessioned2015-08-03T09:33:36Z
dc.date.available2015-08-03T09:33:36Z
dc.date.issued2011-10-05
dc.identifier.citationDuddu, R., Lavier, L. L., Hughes, T. J. R., & Calo, V. M. (2011). A finite strain Eulerian formulation for compressible and nearly incompressible hyperelasticity using high-order B-spline finite elements. International Journal for Numerical Methods in Engineering, 89(6), 762–785. doi:10.1002/nme.3262
dc.identifier.issn00295981
dc.identifier.doi10.1002/nme.3262
dc.identifier.urihttp://hdl.handle.net/10754/561898
dc.description.abstractWe present a numerical formulation aimed at modeling the nonlinear response of elastic materials using large deformation continuum mechanics in three dimensions. This finite element formulation is based on the Eulerian description of motion and the transport of the deformation gradient. When modeling a nearly incompressible solid, the transport of the deformation gradient is decomposed into its isochoric part and the Jacobian determinant as independent fields. A homogeneous isotropic hyperelastic solid is assumed and B-splines-based finite elements are used for the spatial discretization. A variational multiscale residual-based approach is employed to stabilize the transport equations. The performance of the scheme is explored for both compressible and nearly incompressible applications. The numerical results are in good agreement with theory illustrating the viability of the computational scheme. © 2011 John Wiley & Sons, Ltd.
dc.description.sponsorshipThis work was supported by a Collaborative Research Grant from King Abdullah University of Science and Technology (KAUST) and we are grateful for its support. We also thank John Evans for his helpful input on NURBS and isogeometric analysis. T. J. R. Hughes was partially supported by the Office of Naval Research contract N00014-08-1-0992.
dc.publisherWiley
dc.subjectEulerian formulation
dc.subjectIncompressibility
dc.subjectIsogeometric analysis
dc.subjectLarge deformation
dc.subjectNonlinear elasticity
dc.subjectNURBS
dc.subjectVariational multiscale methods
dc.titleA finite strain Eulerian formulation for compressible and nearly incompressible hyperelasticity using high-order B-spline finite elements
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
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.journalInternational Journal for Numerical Methods in Engineering
dc.contributor.institutionInstitute for Geophysics, University of Texas at Austin, Austin, TX 78712, United States
dc.contributor.institutionInstitute for Computational Engineering and Sciences, University of Texas at Austin, Austin, TX, 78712, United States
kaust.personCalo, Victor M.
dc.date.published-online2011-10-05
dc.date.published-print2012-02-10


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