An Implicit SPH Formulation for Incompressible Linearly Elastic Solids

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dc.contributor.authorPeer, Andreasen_US
dc.contributor.authorGissler, Christophen_US
dc.contributor.authorBand, Stefanen_US
dc.contributor.authorTeschner, Matthiasen_US
dc.contributor.editorChen, Min and Benes, Bedrichen_US
dc.date.accessioned2018-08-29T06:56:01Z
dc.date.available2018-08-29T06:56:01Z
dc.date.issued2018
dc.description.abstractWe propose a novel smoothed particle hydrodynamics (SPH) formulation for deformable solids. Key aspects of our method are implicit elastic forces and an adapted SPH formulation for the deformation gradient that—in contrast to previous work—allows a rotation extraction directly from the SPH deformation gradient. The proposed implicit concept is entirely based on linear formulations. As a linear strain tensor is used, a rotation‐aware computation of the deformation gradient is required. In contrast to existing work, the respective rotation estimation is entirely realized within the SPH concept using a novel formulation with incorporated kernel gradient correction for first‐order consistency. The proposed implicit formulation and the adapted rotation estimation allow for significantly larger time steps and higher stiffness compared to explicit forms. Performance gain factors of up to one hundred are presented. Incompressibility of deformable solids is accounted for with an ISPH pressure solver. This further allows for a pressure‐based boundary handling and a unified processing of deformables interacting with SPH fluids and rigids. Self‐collisions are implicitly handled by the pressure solver.We propose a novel smoothed particle hydrodynamics (SPH) formulation for deformable solids. We propose a novel smoothed particle hydrodynamics (SPH) formulation for deformable solids. Key aspects of our method are implicit elastic forces and an adapted SPH formulation for the deformation gradient that—in contrast to previous work—allows a rotation extraction directly from the SPH deformation gradient. The proposed implicit concept is entirely based on linear formulations. As a linear strain tensor is used, a rotation‐aware computation of the deformation gradient is required. In contrast to existing work, the respective rotation estimation is entirely realized within the SPH concept using a novel formulation with incorporated kernel gradient correction for first‐order consistency.en_US
dc.description.number6
dc.description.sectionheadersArticles
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume37
dc.identifier.doi10.1111/cgf.13317
dc.identifier.issn1467-8659
dc.identifier.pages135-148
dc.identifier.urihttps://doi.org/10.1111/cgf.13317
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf13317
dc.publisher© 2018 The Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectphysically based animation
dc.subjectanimation
dc.subjectfluid modelling
dc.subjectanimation
dc.subjectparticle systems
dc.subjectanimation
dc.subjectCategories and Subject Descriptors (according to ACM CCS): I.3.7 [Computer Graphics]: Three, Dimensional Graphics and Realism, Animation
dc.titleAn Implicit SPH Formulation for Incompressible Linearly Elastic Solidsen_US
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