Adaptive fracture simulation of multi-layered thin plates

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.

[1]  Huamin Wang,et al.  Data-driven elastic models for cloth: modeling and measurement , 2011, SIGGRAPH 2011.

[2]  Kwang-Jin Choi,et al.  Stable but responsive cloth , 2002, SIGGRAPH 2002.

[3]  Nadia Magnenat-Thalmann,et al.  Simple linear bending stiffness in particle systems , 2006, SCA '06.

[4]  Huamin Wang,et al.  Data-driven elastic models for cloth: modeling and measurement , 2011, ACM Trans. Graph..

[5]  Xavier Provot,et al.  Deformation Constraints in a Mass-Spring Model to Describe Rigid Cloth Behavior , 1995 .

[6]  Ronald Fedkiw,et al.  Fracturing Rigid Materials , 2007, IEEE Transactions on Visualization and Computer Graphics.

[7]  James F. O'Brien,et al.  Eurographics/ Acm Siggraph Symposium on Computer Animation (2006) Generating Surface Crack Patterns , 2022 .

[8]  Markus H. Gross,et al.  Eurographics/ Acm Siggraph Symposium on Computer Animation (2006) Fast Arbitrary Splitting of Deforming Objects , 2022 .

[9]  Mikko J. Alava,et al.  The physics of paper , 2006 .

[10]  Eitan Grinspun,et al.  A Discrete Model for Inelastic Deformation of Thin Shells , 2004 .

[11]  Ronald Fedkiw,et al.  Simulation of clothing with folds and wrinkles , 2003, SCA '03.

[12]  Pierre Alliez,et al.  Computational geometry algorithms library , 2008, SIGGRAPH '08.

[13]  Eitan Grinspun,et al.  Cubic shells , 2007, SCA '07.

[14]  James F. O'Brien,et al.  Folding and crumpling adaptive sheets , 2013, ACM Trans. Graph..

[15]  Eitan Grinspun,et al.  CHARMS: a simple framework for adaptive simulation , 2002, ACM Trans. Graph..

[16]  James F. O'Brien,et al.  Dynamic local remeshing for elastoplastic simulation , 2010, SIGGRAPH 2010.

[17]  James F. O'Brien,et al.  Real-time deformation and fracture in a game environment , 2009, SCA '09.

[18]  James F. O'Brien,et al.  Generating surface crack patterns , 2006 .

[19]  Nadia Magnenat-Thalmann,et al.  A simple approach to nonlinear tensile stiffness for accurate cloth simulation , 2009, TOGS.

[20]  Mathieu Desbrun,et al.  Discrete shells , 2003, SCA '03.

[21]  James F. O'Brien,et al.  Dynamic local remeshing for elastoplastic simulation , 2010, ACM Trans. Graph..

[22]  Markus H. Gross,et al.  A Finite Element Method on Convex Polyhedra , 2007, Comput. Graph. Forum.

[23]  Christian Laugier,et al.  Simulating 2D tearing phenomena for interactive medical surgery simulators , 2000, Proceedings Computer Animation 2000.

[24]  Ronald Fedkiw,et al.  Arbitrary cutting of deformable tetrahedralized objects , 2007, SCA '07.

[25]  Eitan Grinspun,et al.  Enrichment textures for detailed cutting of shells , 2009, ACM Trans. Graph..

[26]  James F. O'Brien,et al.  Multi-resolution isotropic strain limiting , 2010, SIGGRAPH 2010.

[27]  Matthias Müller,et al.  Hierarchical Position Based Dynamics , 2008, VRIPHYS.

[28]  Jessica K. Hodgins,et al.  Graphical modeling and animation of ductile fracture , 2002, SIGGRAPH.

[29]  Tamal K. Dey,et al.  Delaunay Mesh Generation , 2012, Chapman and Hall / CRC computer and information science series.

[30]  James F. O'Brien,et al.  Graphical modeling and animation of ductile fracture , 2002, SIGGRAPH '02.

[31]  Wolfgang Straßer,et al.  A fast finite element solution for cloth modelling , 2003, 11th Pacific Conference onComputer Graphics and Applications, 2003. Proceedings..

[32]  Leonidas J. Guibas,et al.  Meshless animation of fracturing solids , 2005, ACM Trans. Graph..

[33]  Hong Qin,et al.  Meshless thin-shell simulation based on global conformal parameterization , 2006, IEEE Transactions on Visualization and Computer Graphics.

[34]  Ronald Fedkiw,et al.  Robust treatment of collisions, contact and friction for cloth animation , 2002, SIGGRAPH Courses.

[35]  Markus H. Gross,et al.  Efficient Animation of Point‐Sampled Thin Shells , 2005, Comput. Graph. Forum.

[36]  Markus H. Gross,et al.  Polyhedral Finite Elements Using Harmonic Basis Functions , 2008, Comput. Graph. Forum.

[37]  Jessica K. Hodgins,et al.  Graphical modeling and animation of brittle fracture , 1999, SIGGRAPH.

[38]  Ronald Fedkiw,et al.  Energy stability and fracture for frame rate rigid body simulations , 2009, SCA '09.

[39]  Huamin Wang,et al.  Multi-resolution isotropic strain limiting , 2010, ACM Trans. Graph..

[40]  James F. O'Brien,et al.  Adaptive anisotropic remeshing for cloth simulation , 2012, ACM Trans. Graph..

[41]  Eitan Grinspun,et al.  A quadratic bending model for inextensible surfaces , 2006, SGP '06.