Adaptive fracture simulation of multi-layered thin plates

Abstract

The fractures of thin plates often exhibit complex physical behaviors in the real world. In particular, fractures caused by tearing are different from fractures caused by in-plane motions. In this paper, we study how to make thin-plate fracture animations more realistic from three perspectives. We propose a stress relaxation method, which is applied to avoid shattering artifacts after generating each fracture cut. We formulate a fracture-aware remeshing scheme based on constrained Delaunay triangulation, to adaptively provide more fracture details. Finally, we use our multi-layered model to simulate complex fracture behaviors across thin layers. Our experiment shows that the system can efficiently and realistically simulate the fractures of multi-layered thin plates.

References

1. Alava, M., and Niskanen, K. 2006. The physics of paper. Reports on Progress in Physics 69, 3, 669.
2. Bao, Z., Hong, J.-M., Teran, J., and Fedkiw, R. 2007. Fracturing rigid materials. IEEE Transactions on Visualization and Computer Graphics 13, 2 (Mar.), 370--378.
3. Bergou, M., Wardetzky, M., Harmon, D., Zorin, D., and Grinspun, E. 2006. A quadratic bending model for inextensible surfaces. In Proc. of SGP, 227--230.
4. Boux de Casson, F., and Laugier, C. 2000. Simulating 2d tearing phenomena for interactive medical surgery simulators. In Proc. of the Computer Animation, 9--.
5. Bridson, R., Fedkiw, R., and Anderson, J. 2002. Robust treatment of collisions, contact and friction for cloth animation. ACM Trans. Graph. (SIGGRAPH) 21, 3 (July), 594--603.
6. Bridson, R., Marino, S., and Fedkiw, R. 2003. Simulation of clothing with folds and wrinkles. In Proc. of SCA, 28--36.
7. CGAL, 2013. Computational Geometry Algorithms Library. http://www.cgal.org.
8. Cheng, S.-W., Dey, T. K., and Shewchuk, J. R. 2012. Delaunay Mesh Generation. CRC Press, Boca Raton, Florida.
9. Choi, K.-J., and Ko, H.-S. 2002. Stable but responsive cloth. ACM Trans. Graph. (SIGGRAPH) 21, 3 (July), 604--611.
10. Etzmuß, O., Keckeisen, M., and Straßer, W. 2003. A fast finite element solution for cloth modelling. In Proc. of Pacific Graphics, 244--.
11. Garg, A., Grinspun, E., Wardetzky, M., and Zorin, D. 2007. Cubic shells. In Proc. of SCA, 91--98.
12. Gingold, Y., Secord, A., Han, J. Y., Grinspun, E., and Zorin, D. 2004. A discrete model for inelastic deformation of thin shells. Tech. rep., Aug.
13. Grinspun, E., Krysl, P., and Schröder, P. 2002. Charms: a simple framework for adaptive simulation. ACM Trans. Graph. (SIGGRAPH) 21, 3 (July), 281--290.
14. Grinspun, E., Hirani, A. N., Desbrun, M., and Schröder, P. 2003. Discrete shells. In Proc. of SCA, 62--67.
15. Guo, X., Li, X., Bao, Y., Gu, X., and Qin, H. 2006. Meshless thin-shell simulation based on global conformal parameterization. IEEE Transactions on Visualization and Computer Graphics 12, 3 (May), 375--385.
16. Iben, H. N., and O'Brien, J. F. 2006. Generating surface crack patterns. In Proc. of SCA, 177--185.
17. Kaufmann, P., Martin, S., Botsch, M., Grinspun, E., and Gross, M. 2009. Enrichment textures for detailed cutting of shells. ACM Trans. Graph. (SIGGRAPH) 28, 3 (July), 50:1--50:10.
18. Martin, S., Kaufmann, P., Botsch, M., Wicke, M., and Gross, M. 2008. Polyhedral finite elements using harmonic basis functions. In Proc. of SGP, 1521--1529.
19. Muller, M. 2008. Hierarchical position based dynamics. In VRIPHYS, 1--10.
20. Narain, R., Samii, A., and O'Brien, J. F. 2012. Adaptive anisotropic remeshing for cloth simulation. ACM Trans. Graph. (SIGGRAPH Asia) 31, 6 (Nov.), 152:1--152:10.
21. Narain, R., Pfaff, T., and O'Brien, J. F. 2013. Folding and crumpling adaptive sheets. ACM Trans. Graph. (SIGGRAPH).
22. O'Brien, J. F., and Hodgins, J. K. 1999. Graphical modeling and animation of brittle fracture. In Proc. of SIGGRAPH 98, Annual Conference Series, 137--146.
23. O'Brien, J. F., Bargteil, A. W., and Hodgins, J. K. 2002. Graphical modeling and animation of ductile fracture. ACM Trans. Graph. (SIGGRAPH) 21, 3 (July), 291--294.
24. O'Brien, J. F. 2003. Graphical Modeling and Animation of Brittle Fracture. PhD thesis, Georgia Institute of Technology, Atlanta, GA.
25. Parker, E. G., and O'Brien, J. F. 2009. Real-time deformation and fracture in a game environment. In Proc. of SCA, 165--175.
26. Pauly, M., Keiser, R., Adams, B., Dutré, P., Gross, M., and Guibas, L. J. 2005. Meshless animation of fracturing solids. ACM Trans. Graph. (SIGGRAPH) 24, 3 (July), 957--964.
27. Provot, X. 1996. Deformation constraints in a mass-spring model to describe rigid cloth behavior. In Proc. of Graphics Interface, 147--154.
28. Sifakis, E., Der, K. G., and Fedkiw, R. 2007. Arbitrary cutting of deformable tetrahedralized objects. In Proc. of SCA, 73--80.
29. Steinemann, D., Otaduy, M. A., and Gross, M. 2006. Fast arbitrary splitting of deforming objects. In Proc. of SCA, 63--72.
30. Su, J., Schroeder, C., and Fedkiw, R. 2009. Energy stability and fracture for frame rate rigid body simulations. In Proc. of SCA, 155--164.
31. Volino, P., and Magnenat-Thalmann, N. 2006. Simple linear bending stiffness in particle systems. In Proc. of SCA, Eurographics Association, Aire-la-Ville, Switzerland, Switzerland, 101--105.
32. Volino, P., Magnenat-Thalmann, N., and Faure, F. 2009. A simple approach to nonlinear tensile stiffness for accurate cloth simulation. ACM Trans. Graph. 28, 4 (Sept.), 105:1--105:16.
33. Wang, H., O'Brien, J., and Ramamoorthi, R. 2010. Multi-resolution isotropic strain limiting. ACM Trans. Graph. (SIGGRAPH Asia) 29, 6 (Dec.), 156:1--156:10.
34. Wang, H., O'Brien, J. F., and Ramamoorthi, R. 2011. Data-driven elastic models for cloth: Modeling and measurement. ACM Trans. Graph. (SIGGRAPH) 30, 4 (July), 71:1--71:12.
35. Wicke, M., Steinemann, D., and Gross, M. H. 2005. Efficient animation of point-sampled thin shells. Computer Graphics Forum (Eurographics) 24, 3, 667C--676.
36. Wicke, M., Botsch, M., and Gross, M. 2007. A finite element method on convex polyhedra. Computer Graphics Forum (Eurographics) 26, 3, 355C--364.
37. Wicke, M., Ritchie, D., Klingner, B. M., Burke, S., Shewchuk, J. R., and O'Brien, J. F. 2010. Dynamic local remeshing for elastoplastic simulation. ACM Trans. Graph. 29 (July), 49:1--49:11.

Index Terms

• Computing methodologies

  • Computer graphics

    • Animation