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An efficient isostatic mixed shell element for coarse mesh solution

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dc.contributor.author Madeo, Antonio
dc.contributor.author Liguori, Francesco S.
dc.contributor.author Zucco, Giovanni
dc.contributor.author Fiore, Stefania
dc.date.accessioned 2020-10-09T14:48:45Z
dc.date.issued 2020
dc.identifier.uri http://hdl.handle.net/10344/9320
dc.description peer-reviewed en_US
dc.description.abstract A novel mixed shell finite element (FE) is presented. The element is obtained from the Hellinger–Reissner variational principle and it is based on an elastic solution of the generalized stress field, which is ruled by the minimum number of variables. As such, the new FE is isostatic because the number of stress parameters is equal to the number of kinematical parameters minus the number of rigid body motions. We name this new FE MISS‐8. MISS‐8 has generalized displacements and rotations interpolated along its contour and drilling rotation is also considered as degree of freedom. The element is integrated exactly on its contour, it does not suffer from rank defectiveness and it is locking‐free. Furthermore, it is efficient for recovering both stress and displacement fields when coarse meshes are used. The numerical investigation on its performance confirms the suitability, accuracy, and efficiency to recover elastic solutions of thick‐ and thin‐walled beam‐like structures. Numerical results obtained with the proposed FE are also compared with those obtained with isogeometric high‐performance solutions. Finally, numerical results show a rate of convergence between h2 and h4. en_US
dc.language.iso eng en_US
dc.publisher Wiley and Sons Ltd en_US
dc.relation.ispartofseries International Journal for Numerical Methods in Engineering; 122, pp. 82-121
dc.relation.uri https://doi.org/10.1002/nme.6526
dc.rights This is the peer reviewed author version of the following article:An efficient isostatic mixed shell element for coarse mesh solution, which has been published in final form at https://doi.org/10.1002/nme.6526 This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving. http://olabout.wiley.com/WileyCDA/Section/id-828039.html#terms en_US
dc.subject mixed shell element en_US
dc.subject Hellinger-Reissner variational principle en_US
dc.subject Trefftz method en_US
dc.subject Allman kinematics en_US
dc.subject drilling rotation en_US
dc.subject spurious energy modes en_US
dc.title An efficient isostatic mixed shell element for coarse mesh solution en_US
dc.type info:eu-repo/semantics/article en_US
dc.type.supercollection all_ul_research en_US
dc.type.supercollection ul_published_reviewed en_US
dc.identifier.doi 10.1002/nme.6526
dc.date.embargoEndDate 2021-08-23
dc.embargo.terms 2021-08-23 en_US
dc.rights.accessrights info:eu-repo/semantics/openAccess en_US


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