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A virtual node algorithm for changing mesh topology during simulation

Authors:

Ron FedkiwAuthors Info & Claims

ACM Transactions on Graphics (TOG), Volume 23, Issue 3

Pages 385 - 392

https://doi.org/10.1145/1015706.1015734

Published: 01 August 2004 Publication History

Abstract

We propose a virtual node algorithm that allows material to separate along arbitrary (possibly branched) piecewise linear paths through a mesh. The material within an element is fragmented by creating several replicas of the element and assigning a portion of real material to each replica. This results in elements that contain both real material and empty regions. The missing material is contained in another copy (or copies) of this element. Our new virtual node algorithm automatically determines the number of replicas and the assignment of material to each. Moreover, it provides the degrees of freedom required to simulate the partially or fully fragmented material in a fashion consistent with the embedded geometry. This approach enables efficient simulation of complex geometry with a simple mesh, i.e. the geometry need not align itself with element boundaries. It also alleviates many shortcomings of traditional Lagrangian simulation techniques for meshes with changing topology. For example, slivers do not require small CFL time step restrictions since they are embedded in well shaped larger elements. To enable robust simulation of embedded geometry, we propose new algorithms for handling rigid body and self collisions. In addition, we present several mechanisms for influencing and controlling fracture with grain boundaries, prescoring, etc. We illustrate our method for both volumetric and thin-shell simulations.

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Index Terms

A virtual node algorithm for changing mesh topology during simulation
1. Computing methodologies
  1. Artificial intelligence
    1. Computer vision
      1. Image and video acquisition
        3D imaging
  2. Computer graphics
    1. Animation

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cover image ACM Transactions on Graphics

ACM Transactions on Graphics Volume 23, Issue 3

August 2004

684 pages

ISSN:0730-0301

EISSN:1557-7368

DOI:10.1145/1015706

Editor:
John C. Hart

Issue’s Table of Contents

Copyright © 2004 ACM.

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Published: 01 August 2004

Published in�TOG�Volume 23, Issue 3

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https://dl.acm.org/doi/10.1145/3673652
Ton-That QKry PAndrews SKry PCani MSkouras MWang H(2024)Generalized eXtended Finite Element Method for Deformable Cutting via Boolean OperationsProceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation10.1111/cgf.15184(1-13)Online publication date: 21-Aug-2024
https://dl.acm.org/doi/10.1111/cgf.15184
Jamdagni PJia Y(2024)Robotic Cutting of Fruits and Vegetables: Modeling the Effects of Deformation, Fracture Toughness, Knife Edge Geometry, and MotionIEEE Transactions on Robotics10.1109/TRO.2024.346294340(4526-4543)Online publication date: 2024
https://doi.org/10.1109/TRO.2024.3462943
Mu XXue YJia Y(2024)Dexterous Robotic Cutting Based on Fracture Mechanics and Force ControlIEEE Transactions on Automation Science and Engineering10.1109/TASE.2023.330978421:4(5198-5215)Online publication date: Oct-2024
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