High-resolution brittle fracture simulation with boundary elements

Hahn, David K.; Wojtan, Chris

doi:10.1145/2766896

Cited by 37 publications

(49 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Other representative mesh‐based methods resorted to modal analysis [GMD13] and pure geometric mesh decompositions [MCK13, SO14] for real‐time brittle fracture. Most recently, several works explored the boundary element method for rigid body fracture [ZBG15, HW15] where only surface meshes were employed for both representation and computation.…”

Section: Related Workmentioning

confidence: 99%

Peridynamics‐Based Fracture Animation for Elastoplastic Solids

Chen

Zhu

Zhao

et al. 2017

Computer Graphics Forum

View full text Add to dashboard Cite

In this paper, we exploit the use of peridynamics theory for graphical animation of material deformation and fracture. We present a new meshless framework for elastoplastic constitutive modelling that contrasts with previous approaches in graphics. Our peridynamics‐based elastoplasticity model represents deformation behaviours of materials with high realism. We validate the model by varying the material properties and performing comparisons with finite element method (FEM) simulations. The integral‐based nature of peridynamics makes it trivial to model material discontinuities, which outweighs differential‐based methods in both accuracy and ease of implementation. We propose a simple strategy to model fracture in the setting of peridynamics discretization. We demonstrate that the fracture criterion combined with our elastoplasticity model could realistically produce ductile fracture as well as brittle fracture. Our work is the first application of peridynamics in graphics that could create a wide range of material phenomena including elasticity, plasticity, and fracture. The complete framework provides an attractive alternative to existing methods for producing modern visual effects.

show abstract

Section: Related Workmentioning

confidence: 99%

Peridynamics‐Based Fracture Animation for Elastoplastic Solids

Chen

Zhu

Zhao

et al. 2017

Computer Graphics Forum

View full text Add to dashboard Cite

show abstract

“…The methods described in [Bao et al 2007;Zheng and James 2010] deal with FEM discretizations and consequently with sparse matrices and iterative solvers. In contrast, our method is based on the direct boundary element method of [Hahn and Wojtan 2015], resulting in a dense linear system which we solve by factorization. Zhu et al [2015] use an indirect boundary element method, which implicitly removes the null-space by solving for a potential function first and representing displacements as boundary integrals of this potential.…”

Section: Related Workmentioning

confidence: 99%

“…In this section we summarize the boundary element based brittle fracture simulation of [Hahn and Wojtan 2015] and describe how we extend their method to treat pure Neumann boundary value problems resulting from rigid-body collisions. Given the geometry of an object we first construct a coarse triangle mesh of its surface.…”

Section: Boundary Element Fracturesmentioning

confidence: 99%

Fast approximations for boundary element based brittle fracture simulation

Hahn

Wojtan

2016

ACM Trans. Graph.

Self Cite

View full text Add to dashboard Cite

Figure 1: Shooting a heavy sphere at a column (a): as the column breaks, the topmost fragment is pushed upwards into the bunny, whose ears break off close to the smallest cross-section (b). As the remainder of the bunny falls down it hits a sharp edge of a fragment from the column (d) and fractures again (e). The entire fracture simulation for this scene takes just over 16 minutes on commodity hardware. AbstractWe present a boundary element based method for fast simulation of brittle fracture. By introducing simplifying assumptions that allow us to quickly estimate stress intensities and opening displacements during crack propagation, we build a fracture algorithm where the cost of each time step scales linearly with the length of the crackfront.The transition from a full boundary element method to our faster variant is possible at the beginning of any time step. This allows us to build a hybrid method, which uses the expensive but more accurate BEM while the number of degrees of freedom is low, and uses the fast method once that number exceeds a given threshold as the crack geometry becomes more complicated.Furthermore, we integrate this fracture simulation with a standard rigid-body solver. Our rigid-body coupling solves a Neumann boundary value problem by carefully separating translational, rotational and deformational components of the collision forces and then applying a Tikhonov regularizer to the resulting linear system. We show that our method produces physically reasonable results in standard test cases and is capable of dealing with complex scenes faster than previous finite-or boundary element approaches.

show abstract

“…To ensure realistic simulation, we devised a mathematics model based on physics. Yufeng Zhu in 2015 present a new brittle fracture simulation method based on a boundary integral formulation of elasticity and explicit surface mesh evolution algorithms [5]. In this paper, the tracking progress of a fracture propagation contains steps including meshbased surface tracking, contact force model and fracture criteria, fracture initiation and propagation and finally remeshing operation.…”

Section: A Voronoi Tessallationmentioning

confidence: 99%

Physical Solid Fracture Simulation Based on Random Voronoi Tessallation

Zhang¹,

Chen²,

Zhang³

et al. 2016

Proceedings of the 2016 International Conference on Computer Engineering and Information Systems

View full text Add to dashboard Cite

Abstract-Physics based solid fracture simulation techniques have great applications in the domains such as Virtual Reality, Military Affairs training, special effect manufacture in films & television, and game design, etc. However, current solid fracture simulation algorithms have the defects of either too slow or unrealistic. To overcome this shortcoming, in this paper we present a novel algorithm to real-time simulate the fracture process of solid with quite realism. To accelerate the fracture process, we hire random Voronoi Tessallation which can significantly decrease the number of crack meshes. To make the fracture process more realistic, we adopt a Physics based method called symmetric Galerkin BEM(Boundary Element Method) to stress analysis, and thus generate more detailed fracture results. We also devise a efficient crack propagation algorithm to simulate the fracture process. Experiments result show that our solid fracture algorithm can realistic simulate various solid fracture processes in real time.

show abstract

High-resolution brittle fracture simulation with boundary elements

Cited by 37 publications

References 51 publications

Peridynamics‐Based Fracture Animation for Elastoplastic Solids

Peridynamics‐Based Fracture Animation for Elastoplastic Solids

Fast approximations for boundary element based brittle fracture simulation

Physical Solid Fracture Simulation Based on Random Voronoi Tessallation

Contact Info

Product

Resources

About