Towards real-time simulation of deformable structures by means of co-rotational finite element formulation

dc.contributor.authorMarinković, Dragan
dc.contributor.authorZehn, Manfred
dc.contributor.authorRama, Gil
dc.date.accessioned2020-10-26T15:14:12Z
dc.date.available2020-10-26T15:14:12Z
dc.date.issued2018-06-23
dc.description.abstractWhereas typical Finite Element (FE) computations are performed off-line, many virtual-reality (VR) applications put a demand for interactive simulations involving deformable objects. Interactive simulation implies real-time or nearly real-time computation and graphical representation of modeled deformable objects. The growing computational power of modern conventional hardware calls for FEM developments in this direction. Depending on specific VR applications, the developments need to account for different aspects of physical behavior, with geometrically nonlinear deformations emerging as one of most important and frequent. This paper proposes a simplified co-rotational FE formulation that considers the overall finite element motion as a superposition of rigid-body rotation and deformation described by a linear model with respect to the co-rotated reference frame. By neglecting the stress stiffening effect and the dependence of the element stiffness matrix on the deformational displacements, the formulation aims at meeting the objectives of highly efficient simulation, under certain conditions even real-time simulation, and with acceptable deviation in accuracy compared to the rigorous nonlinear FE formulation. Computations with both solid and shell elements are addressed. A set of examples is provided to illustrate and discuss the aspects of accuracy and achievable simulation speed.en
dc.identifier.eissn1572-9648
dc.identifier.issn0025-6455
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/11773
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-10661
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc600 Technik, Technologiede
dc.subject.otherreal-time simulationen
dc.subject.otherco-rotational FEMen
dc.subject.othergeometric nonlinearityen
dc.subject.othersoliden
dc.subject.othershellen
dc.titleTowards real-time simulation of deformable structures by means of co-rotational finite element formulationen
dc.typeArticleen
dc.type.versionacceptedVersionen
dcterms.bibliographicCitation.doi10.1007/s11012-018-0868-5en
dcterms.bibliographicCitation.journaltitleMeccanicaen
dcterms.bibliographicCitation.originalpublishernameSpringeren
dcterms.bibliographicCitation.originalpublisherplaceDordrecht [u.a.]en
dcterms.bibliographicCitation.pageend3136en
dcterms.bibliographicCitation.pagestart3123en
dcterms.bibliographicCitation.volume53en
tub.accessrights.dnbfreeen
tub.affiliationFak. 5 Verkehrs- und Maschinensysteme::Inst. Mechanik::FG Strukturmechanik und Strukturberechnungde
tub.affiliation.facultyFak. 5 Verkehrs- und Maschinensystemede
tub.affiliation.groupFG Strukturmechanik und Strukturberechnungde
tub.affiliation.instituteInst. Mechanikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen

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