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A mesh-insensitive elastic model for simulation of solid bodies

Published: 03 December 2016 Publication History

Abstract

FEM-based elasticity models are popular in solid body simulation. To avoid its problems of mesh sensitivity and overly stiff, a novel smoothed pseudo-linear elasticity model is presented. First, the smoothed finite element method is employed to alleviate mesh distortion and overly stiff problems instead of the traditional spatial adaptive smoothing method. Then, we propose a smoothing domain-based stiffness warping technique to compensate the nonlinear errors introduced by linear elasticity models. With this approach, transient displacements are slightly affected by mesh distortion and total volumes are preserved under large rotations. It also shows apparently softening effects in the experiments. Simulation results are generated without adding significant complexity or computational cost to the standard corotational FEM.

References

[1]
Chao, I., Pinkall, U., Sanan, P., and Schröder, P. 2010. A simple geometric model for elastic deformations. ACM Transactions on Graphics (TOG) 29, 4, 38.
[2]
Civit-Flores, O., and Susín, A. 2014. Robust treatment of degenerate elements in interactive corotational fem simulations. In Computer Graphics Forum, vol. 33, Wiley Online Library, 298--309.
[3]
Duong, M. T., and Staat, M. 2014. A face-based smoothed finite element method for hyperelastic models and tissue growth. In 11th World Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2014).
[4]
Etzmuss, O., Keckeisen, M., and Strasser, W. 2003. A fast finite element solution for cloth modelling. In Computer Graphics and Applications, 2003. Proceedings. 11th Pacific Conference on, IEEE, 244--251.
[5]
Georgii, J., and Westermann, R. 2008. Corotated finite elements made fast and stable. VRIPHYS 8, 11--19.
[6]
Gutiérrez, L. F., Aguinaga, I., Harders, M., and Ramos, F. 2012. Speeding up the simulation of deformable objects through mesh improvement. Computer Animation and Virtual Worlds 23, 3--4, 425--433.
[7]
Liu, G., Dai, K., and Nguyen, T. 2007. A smoothed finite element method for mechanics problems. Computational Mechanics 39, 6, 859--877.
[8]
Manteaux, P.-L., Wojtan, C., Narain, R., Redon, S., Faure, F., and Cani, M.-P. 2016. Adaptive physically based models in computer graphics. In Computer Graphics Forum, Wiley Online Library.
[9]
Müller, M., and Gross, M. 2004. Interactive virtual materials. In Proceedings of Graphics Interface 2004, Canadian Human-Computer Communications Society, 239--246.
[10]
Müller, M., Dorsey, J., McMillan, L., Jagnow, R., and Cutler, B. 2002. Stable real-time deformations. In Proceedings of the 2002 ACM SIGGRAPH/Eurographics symposium on Computer animation, ACM, 49--54.
[11]
Müller, M., Keiser, R., Nealen, a., Pauly, M., Gross, M., and Alexa, M. 2004. Point based animation of elastic, plastic and melting objects. ACM SIGGRAPH / Eurographics Symposium on Computer Animation, 141--151.
[12]
Nealen, A., Müller, M., Keiser, R., Boxerman, E., and Carlson, M. 2006. Physically based deformable models in computer graphics. In Computer graphics forum, vol. 25, Wiley Online Library, 809--836.
[13]
Nguyen-Thoi, T., Liu, G., Lam, K., and Zhang, G. 2009. A face-based smoothed finite element method (fs-fem) for 3d linear and geometrically non-linear solid mechanics problems using 4-node tetrahedral elements. International Journal for Numerical Methods in Engineering 78, 3, 324--353.
[14]
Parker, E. G., and O'Brien, J. F. 2009. Real-time deformation and fracture in a game environment. In Proceedings of the 2009 ACM SIGGRAPH/Eurographics Symposium on Computer Animation, ACM, 165--175.
[15]
Terzopoulost, D., Platt, J., and Fleischert, K. 1987. Elastically deformable models. Computer Graphics 21, 4, 205--214.

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cover image ACM Conferences
VRCAI '16: Proceedings of the 15th ACM SIGGRAPH Conference on Virtual-Reality Continuum and Its Applications in Industry - Volume 1
December 2016
381 pages
ISBN:9781450346924
DOI:10.1145/3013971
  • Conference Chairs:
  • Yiyu Cai,
  • Daniel Thalmann
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Published: 03 December 2016

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Author Tags

  1. mesh insensitive
  2. physically-based animation
  3. pseudo-linear elasticity model
  4. smoothed finite element method
  5. stiffness warping

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