Fast approximations for boundary element based brittle fracture simulation

Hahn, David and Wojtan, Chris (2016) Fast approximations for boundary element based brittle fracture simulation. In: ACM SIGGRAPH, July 24-28, 2016, Anaheim, CA, USA.

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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.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Boundary elements, Brittle fracture, Crack propagation
Subjects: 000 Computer science, knowledge & general works > 000 Computer science, knowledge & systems
Research Group: Wojtan Group
SWORD Depositor: Sword Import User
Depositing User: Sword Import User
Date Deposited: 09 Sep 2016 06:56
Last Modified: 05 Sep 2017 09:04

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