Energetically Consistent Invertible Elasticity
| dc.contributor.author | Stomakhin, Alexey | en_US |
| dc.contributor.author | Howes, Russell | en_US |
| dc.contributor.author | Schroeder, Craig | en_US |
| dc.contributor.author | Teran, Joseph M. | en_US |
| dc.contributor.editor | Jehee Lee and Paul Kry | en_US |
| dc.date.accessioned | 2014-01-29T08:00:38Z | |
| dc.date.available | 2014-01-29T08:00:38Z | |
| dc.date.issued | 2012 | en_US |
| dc.description.abstract | We provide a smooth extension of arbitrary isotropic hyperelastic energy density functions to inverted configurations. This extension is designed to improve robustness for elasticity simulations with ex- tremely large deformations and is analogous to the extension given to the first Piola-Kirchoff stress in [ITF04]. We show that our energy-based approach is significantly more robust to large deformations than the first Piola-Kirchoff fix. Furthermore, we show that the robustness and stability of a hyper- elastic model can be predicted from a characteristic contour, which we call its primary contour. The extension to inverted configurations is defined via extrapolation from a convex threshold surface that lies in the uninverted portion of the principal stretches space. The extended hyperelastic energy den- sity yields continuous stress and unambiguous stress derivatives in all inverted configurations, unlike in [TSIF05]. We show that our invertible energy-density-based approach outperforms the popular hy- perelastic corotated model, and we also show how to use the primary contour methodology to improve the robustness of this model to large deformations. | en_US |
| dc.description.seriesinformation | Eurographics/ ACM SIGGRAPH Symposium on Computer Animation | en_US |
| dc.identifier.isbn | 978-3-905674-37-8 | en_US |
| dc.identifier.issn | 1727-5288 | en_US |
| dc.identifier.uri | https://doi.org/10.2312/SCA/SCA12/025-032 | en_US |
| dc.publisher | The Eurographics Association | en_US |
| dc.subject | I.3.5 [Computer Graphics] | en_US |
| dc.subject | Computational Geometry | en_US |
| dc.subject | Object Modeling | en_US |
| dc.subject | Physically based modeling | en_US |
| dc.title | Energetically Consistent Invertible Elasticity | en_US |