Energetically Consistent Invertible Elasticity
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Date
2012
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
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.
Description
@inproceedings{:10.2312/SCA/SCA12/025-032,
booktitle = {Eurographics/ ACM SIGGRAPH Symposium on Computer Animation},
editor = {Jehee Lee and Paul Kry},
title = {{Energetically Consistent Invertible Elasticity}},
author = {Stomakhin, Alexey and Howes, Russell and Schroeder, Craig and Teran, Joseph M.},
year = {2012},
publisher = {The Eurographics Association},
ISSN = {1727-5288},
ISBN = {978-3-905674-37-8},
DOI = {/10.2312/SCA/SCA12/025-032}
}