000056673 001__ 56673
000056673 005__ 20200221144218.0
000056673 0247_ $$2doi$$a10.1186/s40323-016-0077-5
000056673 0248_ $$2sideral$$a95798
000056673 037__ $$aART-2016-95798
000056673 041__ $$aeng
000056673 100__ $$aRu¨berg, Thomas
000056673 245__ $$aAn unstructured immersed finite element method for nonlinear solid mechanics
000056673 260__ $$c2016
000056673 5060_ $$aAccess copy available to the general public$$fUnrestricted
000056673 5203_ $$aWe present an immersed finite element technique for boundary-value and interface problems from nonlinear solid mechanics. Its key features are the implicit representation of domain boundaries and interfaces, the use of Nitsche’s method for the incorporation of boundary conditions, accurate numerical integration based on marching tetrahedrons and cut-element stabilisation by means of extrapolation. For discretisation structured and unstructured background meshes with Lagrange basis functions are considered. We show numerically and analytically that the introduced cut-element stabilisation technique provides an effective bound on the size of the Nitsche parameters and, in turn, leads to well-conditioned system matrices. In addition, we introduce a novel approach for representing and analysing geometries with sharp features (edges and corners) using an implicit geometry representation. This allows the computation of typical engineering parts composed of solid primitives without the need of boundary-fitted meshes.
000056673 536__ $$9info:eu-repo/grantAgreement/EUR/FP7/ERC2012-StG-306751$$9info:eu-repo/grantAgreement/ES/MINECO/DPI2015-64221-C2-1-R
000056673 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000056673 592__ $$a0.0$$b2016
000056673 593__ $$aApplied Mathematics$$c2016
000056673 593__ $$aModeling and Simulation$$c2016
000056673 593__ $$aEngineering (miscellaneous)$$c2016
000056673 593__ $$aComputer Science Applications$$c2016
000056673 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000056673 700__ $$aCirak, Fehmi
000056673 700__ $$0(orcid)0000-0002-9864-7683$$aGarcía Aznar, José Manuel$$uUniversidad de Zaragoza
000056673 7102_ $$15004$$2605$$aUniversidad de Zaragoza$$bDpto. Ingeniería Mecánica$$cÁrea Mec.Med.Cont. y Teor.Est.
000056673 773__ $$g3, 22 (2016), [28 pp.]$$pAdv. model. simul. eng. sci.$$tAdvanced modeling and simulation in engineering sciences$$x2213-7467
000056673 8564_ $$s3370814$$uhttps://zaguan.unizar.es/record/56673/files/texto_completo.pdf$$yVersión publicada
000056673 8564_ $$s16461$$uhttps://zaguan.unizar.es/record/56673/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000056673 909CO $$ooai:zaguan.unizar.es:56673$$particulos$$pdriver
000056673 951__ $$a2020-02-21-13:13:39
000056673 980__ $$aARTICLE