Displacement-Correlated XFEM for Simulating Brittle Fracture

Floyd Chitalu, Qinghai Miao, Kartic Subr, Taku Komura

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Pages (from-to)569-583
Number of pages15
JournalComputer Graphics Forum
Issue number2
Publication statusPublished - 13 Jul 2020
EventEurographics 2020 - Norrköping, Norrköping, Sweden
Duration: 25 May 202029 May 2020

Fingerprint Dive into the research topics of 'Displacement-Correlated XFEM for Simulating Brittle Fracture'. Together they form a unique fingerprint.

Cite this