Visual
Computing

High-Resolution Brittle Fracture Simulation with Boundary Elements

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Publication

ACM Transactions on Graphics (Siggraph 2015)

Abstract

We present a method for simulating brittle fracture under the assumptions of quasi-static linear elastic fracture mechanics (LEFM). Using the boundary element method (BEM) and Lagrangian crack-fronts, we produce highly detailed fracture surfaces. The computational cost of the BEM is alleviated by using a low-resolution mesh and interpolating the resulting stress intensity factors when propagating the high-resolution crack-front.

Our system produces physics-based fracture surfaces with high spatial and temporal resolution, taking spatial variation of material toughness and/or strength into account. It also allows for crack initiation to be handled separately from crack propagation, which is not only more reasonable from a physics perspective, but can also be used to control the simulation.

Separating the resolution of the crack-front from the resolution of the computational mesh increases the efficiency and therefore the amount of visual detail on the resulting fracture surfaces. The BEM also allows us to re-use previously computed blocks of the system matrix.

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Citation

@article{10.1145/2766896,
  author = {Hahn, David and Wojtan, Chris},
  title = {High-resolution brittle fracture simulation with boundary elements},
  year = {2015},
  issue_date = {August 2015},
  publisher = {Association for Computing Machinery},
  address = {New York, NY, USA},
  volume = {34},
  number = {4},
  issn = {0730-0301},
  url = {https://doi.org/10.1145/2766896},
  doi = {10.1145/2766896},
  journal = {ACM Trans. Graph.},
  month = jul,
  articleno = {151},
  numpages = {12},
  keywords = {crack propagation, brittle fracture, boundary elements}
}