A level set method for ductile fracture

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.

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“…Hegemann et al . [HJST13] combined a level set–based mesh embedding technique with the material point method to animate dynamic ductile fracture.…”

Section: Related Workmentioning

confidence: 99%

Peridynamics‐Based Fracture Animation for Elastoplastic Solids

Chen

Zhu

Zhao

et al. 2017

Computer Graphics Forum

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“…They discretize each body to separate background grids, and an impenetrability condition is imposed with respect to the relative grid velocity to resolve collisions. Hegemann et al (2013) uses this contact scheme on a purely grid based level set method. However, due to the grid being a smeared representation of the current particle configuration, all purely Eularian methods will observe that collisions are detected prematurely.…”

Section: Related Workmentioning

confidence: 99%

Animation of crack propagation by means of an extended multi-body solver for the material point method

Wretborn

Armiento

Museth

2017

Computers & Graphics

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“…In the field of computer graphics, several methods of fracture simulation have been discussed [19][20][21]. This section describes the details of fracture algorithms developed for real-time applications.…”

Section: Fracturementioning

confidence: 99%

“…Implicit time integration is formulated as By substituting Eqs. (21) and (25) into Eq. (26), v i+1 can be obtained by solving the following equation:…”

Section: Additional Filementioning

confidence: 99%

GPU-accelerated surgery simulation for opening a brain fissure

et al. 2015

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In neurosurgery, dissection and retraction are basic techniques for approaching the site of pathology. These techniques are carefully performed in order to avoid damage to nerve tissues or blood vessels. However, novice surgeons cannot train in such techniques using the haptic cues of existing training systems. This paper proposes a real-time simulation scheme for training in dissection and retraction when opening a brain fissure, which is a procedure for creating a working space before treating an affected area. In this procedure, spatulas are commonly used to perform blunt dissection and brain tissue retraction. In this study, the interaction between spatulas and soft tissues is modeled on the basis of a finite element method (FEM). The deformation of soft tissue is calculated according to a corotational FEM by considering geometrical nonlinearity and element inversion. A fracture is represented by removing tetrahedrons using a novel mesh modification algorithm in order to retain the manifold property of a tetrahedral mesh. Moreover, most parts of the FEM are implemented on a graphics processing unit (GPU). This paper focuses on parallel algorithms for matrix assembly and matrix rearrangement related to FEM procedures by considering a sparse-matrix storage format. Finally, two simulations are conducted. A blunt dissection simulation is conducted in real time (less than 20 ms for a time step) using a soft-tissue model having 4807 nodes and 19,600 elements. A brain retraction simulation is conducted using a brain hemisphere model having 8647 nodes and 32,639 elements with force feedback (less than 80 ms for a time step). These results show that the proposed method is effective in simulating dissection and retraction for opening a brain fissure.

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A level set method for ductile fracture

Cited by 32 publications

References 49 publications

Peridynamics‐Based Fracture Animation for Elastoplastic Solids

Peridynamics‐Based Fracture Animation for Elastoplastic Solids

Animation of crack propagation by means of an extended multi-body solver for the material point method

GPU-accelerated surgery simulation for opening a brain fissure

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