Title
Displacement-Correlated XFEM for Simulating Brittle Fracture.
Abstract
We present a remeshing-free brittle fracture simulation method under the assumption of quasi-static linear elastic fracture mechanics (LEFM). To achieve this, we devise two algorithms. First, we develop an approximate volumetric simulation, based on the extended Finite Element Method (XFEM), to initialize and propagate Lagrangian crack-fronts. We model the geometry of fracture explicitly as a surface mesh, which allows us to generate high-resolution crack surfaces that are decoupled from the resolution of the deformation mesh. Our second contribution is a mesh cutting algorithm, which produces fragments of the input mesh using the fracture surface. We do this by directly operating on the half-edge data structures of two surface meshes, which enables us to cut general surface meshes including those of concave polyhedra and meshes with abutting concave polygons. Since we avoid triangulation for cutting, the connectivity of the resulting fragments is identical to the (uncut) input mesh except at edges introduced by the cut. We evaluate our simulation and cutting algorithms and show that they outperform state-of-the-art approaches both qualitatively and quantitatively.
Year
DOI
Venue
2020
10.1111/cgf.13953
COMPUTER GRAPHICS FORUM
Keywords
DocType
Volume
CCS Concepts,. Computing methodologies -> Physical simulation,Mesh geometry models
Journal
39.0
Issue
ISSN
Citations 
2.0
0167-7055
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Floyd M. Chitalu131.42
Qinghai Miao2998.33
Kartic Subr319915.28
Taku Komura42343142.42