Stable Orthotropic / Anisotropic Materials
IEEE Transactions on Visualization and Computer Graphics 2015
Symposium on Computer Animation 2014
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- Paper (IEEE TVCG 2015) (PDF, 7 Mb)
- Video (IEEE TVCG 2015) (Quicktime MP4, 32 Mb)
- Paper (SCA 2014) (PDF, 4.5 Mb)
- Video (SCA 2014) (Quicktime MP4, 38 Mb)
- Presentation (SCA 2014) (zipped PPTX, 56 Mb)
Citation
- Yijing Li, Jernej Barbič: Stable Anisotropic Materials, IEEE Transactions on Visualization and Computer Graphics, 21(10), 2015. BIBTEX
- Yijing Li, Jernej Barbič: Stable Orthotropic Materials, ACM/Eurographics Symposium on Computer Animation, 2014, Copenhagen, Denmark. BIBTEX
Abstract
The Finite Element Method (FEM) is commonly used to simulate isotropic deformable objects in computer graphics. Several applications (wood, plants, muscles) require modeling the directional dependence of the material elastic properties in three orthogonal directions. We investigate linear orthotropic materials, a special class of linear anisotropic materials where the shear stresses are decoupled from normal stresses, as well as general linear (non-orthotropic) anisotropic materials. Orthotropic materials generalize transversely isotropic materials, by exhibiting different stiffness in three orthogonal directions. Orthotropic materials are, however, parameterized by nine values that are difficult to tune in practice, as poorly adjusted settings easily lead to simulation instabilities. We present a user-friendly approach to setting these parameters that is guaranteed to be stable. Our approach is intuitive as it extends the familiar intuition known from isotropic materials. Similarly to linear orthotropic materials, we also derive a stability condition for a subset of general linear anisotropic materials, and give intuitive approaches to tuning them. In order to simulate large deformations, we augment linear corotational FEM simulations with our orthotropic and general anisotropic materials.
Comments, questions to Jernej Barbič.Related projects
Funding
- NSF (CAREER-53-4509-6600)
- Intel Corporation (donation of two workstations)
- USC Annerberg Graduate Fellowship to Yijing Li
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