Fast approximations for boundary element based brittle fracture simulation Conference Paper

Author(s): Hahn, David; Wojtan, Chris
Title: Fast approximations for boundary element based brittle fracture simulation
Title Series: ACM Transactions on Graphics
Affiliation IST Austria
Abstract: We 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.
Keywords: Boundary elements; Brittle fracture; Crack propagation
Conference Title: ACM SIGGRAPH
Volume: 35
Issue 4
Conference Dates: July 24-28, 2016
Conference Location: Anaheim, CA, USA
ISBN: 1558-4569
Publisher: ACM  
Date Published: 2016-07-01
Start Page: Article number: 104
Copyright Statement: CC-BY 4.0
DOI: 10.1145/2897824.2925902
Notes: We cordially thank everyone who contributed to this paper, es- pecially Prof. M. Schanz and his group for providing and sup- porting the HyENA library, the OpenVDB online community, as well as all proof-readers, in particular Stefan Jeschke. This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 638176).
Open access: yes (OA journal)
IST Austria Authors
  1. Chris Wojtan
    34 Wojtan
  2. David Hahn
    4 Hahn
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