Curved Three-Director Cosserat Shells with Strong Coupling

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dc.contributor.authorLöschner, Fabianen_US
dc.contributor.authorFernández-Fernández, José Antonioen_US
dc.contributor.authorJeske, Stefan Rhysen_US
dc.contributor.authorBender, Janen_US
dc.contributor.editorSkouras, Melinaen_US
dc.contributor.editorWang, Heen_US
dc.date.accessioned2024-08-20T08:43:30Z
dc.date.available2024-08-20T08:43:30Z
dc.date.issued2024
dc.description.abstractContinuum-based shell models are an established approach for the simulation of thin deformables in computer graphics. However, existing research in physically-based animation is mostly focused on shear-rigid Kirchhoff-Love shells. In this work we explore three-director Cosserat (micropolar) shells which introduce additional rotational degrees of freedom. This microrotation field models transverse shearing and in-plane drilling rotations. We propose an incremental potential formulation of the Cosserat shell dynamics which allows for strong coupling with frictional contact and other physical systems. We evaluate a corresponding finite element discretization for non-planar shells using second-order elements which alleviates shear-locking and permits simulation of curved geometries. Our formulation and the discretization, in particular of the rotational degrees of freedom, is designed to integrate well with typical simulation approaches in physically-based animation. While the discretization of the rotations requires some care, we demonstrate that they do not pose significant numerical challenges in Newton's method. In our experiments we also show that the codimensional shell model is consistent with the respective three-dimensional model. We qualitatively compare our formulation with Kirchhoff-Love shells and demonstrate intriguing use cases for the additional modes of control over dynamic deformations offered by the Cosserat model such as directly prescribing rotations or angular velocities and influencing the shell's curvature.en_US
dc.description.number8
dc.description.sectionheadersPhysics I: Fluids, Shells, and Natural Phenomena
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume43
dc.identifier.doi10.1111/cgf.15183
dc.identifier.issn1467-8659
dc.identifier.pages16 pages
dc.identifier.urihttps://doi.org/10.1111/cgf.15183
dc.identifier.urihttps://diglib.eg.org/handle/10.1111/cgf15183
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.rightsAttribution 4.0 International License
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectCCS Concepts: Computing methodologies → Physical simulation
dc.subjectComputing methodologies → Physical simulation
dc.titleCurved Three-Director Cosserat Shells with Strong Couplingen_US
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