Micropolar Elasticity in Physically-Based Animation

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dc.contributor.authorLöschner, Fabianen_US
dc.contributor.authorFernández-Fernández, José Antonioen_US
dc.contributor.authorJeske, Stefan Rhysen_US
dc.contributor.authorLongva, Andreasen_US
dc.contributor.authorBender, Janen_US
dc.contributor.editorWang, Huaminen_US
dc.contributor.editorYe, Yutingen_US
dc.contributor.editorVictor Zordanen_US
dc.date.accessioned2023-10-16T12:33:45Z
dc.date.available2023-10-16T12:33:45Z
dc.date.issued2023
dc.description.abstractWe explore micropolar materials for the simulation of volumetric deformable solids. In graphics, micropolar models have only been used in the form of one-dimensional Cosserat rods, where a rotating frame is attached to each material point on the one-dimensional centerline. By carrying this idea over to volumetric solids, every material point is associated with a microrotation, an independent degree of freedom that can be coupled to the displacement through a material’s strain energy density. The additional degrees of freedom give us more control over bending and torsion modes of a material. We propose a new orthotropic micropolar curvature energy that allows us to make materials stiff to bending in specific directions. For the simulation of dynamic micropolar deformables we propose a novel incremental potential formulation with a consistent FEM discretization that is well suited for the use in physically-based animation. This allows us to easily couple micropolar deformables with dynamic collisions through a contact model inspired from the Incremental Potential Contact (IPC) approach. For the spatial discretization with FEM we discuss the challenges related to the rotational degrees of freedom and propose a scheme based on the interpolation of angular velocities followed by quaternion time integration at the quadrature points. In our evaluation we validate the consistency and accuracy of our discretization approach and demonstrate several compelling use cases for micropolar materials. This includes explicit control over bending and torsion stiffness, deformation through prescription of a volumetric curvature field and robust interaction of micropolar deformables with dynamic collisions.en_US
dc.description.number3
dc.description.sectionheadersDeformation and Physics II
dc.description.seriesinformationProceedings of the ACM on Computer Graphics and Interactive Techniques
dc.description.volume6
dc.identifier.doi10.1145/3606922
dc.identifier.issn2577-6193
dc.identifier.urihttps://doi.org/10.1145/3606922
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1145/3606922
dc.publisherACM Association for Computing Machineryen_US
dc.subjectCCS Concepts: Computing methodologies -> Physical simulation micropolar materials, cosserat continuum, elasticity, physically-based simulation, optimization time integration"
dc.subjectComputing methodologies
dc.subjectPhysical simulation micropolar materials
dc.subjectcosserat continuum
dc.subjectelasticity
dc.subjectphysically
dc.subjectbased simulation
dc.subjectoptimization time integration"
dc.titleMicropolar Elasticity in Physically-Based Animationen_US
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SCA 2023: Eurographics/SIGGRAPH Symposium on Computer Animation