Robust eXtended Finite Elements for Complex Cutting of Deformables

Dan Koschier, Jan Bender, Nils Thuerey In this paper we present a robust remeshing-free cutting algorithm on the basis of the eXtended Finite Element Method (XFEM) and fully implicit time integration. One of the most crucial points of the XFEM is that integrals over discontinuous polynomials have to be computed on subdomains of the polyhedral […]

Interactive Paper Tearing

Camille Schreck, Damien Rohmer, Stefanie Hahmann We propose an efficient method to model paper tearing in the context of interactive modeling. The method uses geometrical information to automatically detect potential starting points of tears. We further introduce a new hybrid geometrical and physical-based method to compute the trajectory of tears while procedurally synthesizing high resolution […]

Real-time Simulation of Large Elasto-Plastic Deformation with Shape Matching

Nuttapong Chentanez, Matthias Müller, Miles Macklin Shape matching is a popular method for simulating deformable objects in real time as it is fast and stable at large time steps. Although shape matching can simulate large elastic deformation and ductile fracturing, until now, they are limited to scenarios with relatively small plastic deformation. In this work, we present […]

Fast approximations for boundary element based brittle fracture simulation

David Hahn, Chris Wojtan 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 crack-front. […]

Interactively Cutting and Constraining Vertices in Meshes Using Augmented Matrices

Yu-Hong Yeung, Jessica Crouch, Alex Pothen We present a finite element solution method that is well-suited for interactive simulations of cutting meshes in the regime of linear elastic models. Our approach features fast updates to the solution of the stiffness system of equations to account for real-time changes in mesh connectivity and boundary conditions. Updates are […]

Ductile Fracture for Clustered Shape Matching

Ben Jones, April Martin, Joshua A. Levine, Tamar Shinar, and Adam W. Bargteil In this paper, we incorporate ductile fracture into the clustered shape matching simulation framework for deformable bodies, thus filling a gap in the shape matching literature. Our plasticity and fracture models are inspired by the finite element literature on deformable bodies, but are […]

High-Resolution Brittle Fracture Simulation with Boundary Elements

David Hahn, Chris Wojtan 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 […]

Continuum Foam: A Material Point Method for Shear-Dependent Flows

Yonghao Yue, Breannan Smith, Christopher Batty, Changxi Zheng, Eitan Grinspun We consider the simulation of dense foams composed of microscopic bubbles, such as shaving cream and whipped cream. We represent foam not as a collection of discrete bubbles, but instead as a continuum. We employ the Material Point Method (MPM) to discretize a hyperelastic constitutive […]

Simulating Rigid Body Fracture with Surface Meshes

Yufeng Zhu, Robert Bridson, Chen Greif We present a new brittle fracture simulation method based on a boundary integral formulation of elasticity and recent explicit surface mesh evolution algorithms. Unlike prior physically-based simulations in graphics, this avoids the need for volumetric sampling and calculations, which aren’t reflected in the rendered output. We represent each quasi-rigid […]

An Adaptive Virtual Node Algorithm with Robust Mesh Cutting

Yuting Wang, Chenfanfu Jiang, Craig Schroeder, Joseph Teran We present a novel virtual node algorithm (VNA) for changing tetrahedron mesh topology to represent arbitrary cutting triangulated surfaces. Our approach addresses a number of shortcomings in the original VNA of [MBF04]. First, we generalize the VNA so that cuts can pass through tetrahedron mesh vertices and lie on […]