Universal Meshes for the Simulation of Brittle Fracture and Moving Boundary Problems

  • Maurizio M. ChiaramonteEmail author
  • Evan S. Gawlik
  • Hardik Kabaria
  • Adrian J. Lew
Part of the Lecture Notes in Applied and Computational Mechanics book series (LNACM, volume 81)


Universal meshes have recently appeared in the literature as a computationally efficient and robust paradigm for the generation of conforming simplicial meshes for domains with evolving boundaries. The main idea behind a universal mesh is to immerse the moving boundary in a background mesh (the universal mesh), and to produce a mesh that conforms to the moving boundary at any given time by adjusting a few elements of the background mesh. In this manuscript we present the application of universal meshes to the simulation of brittle fracturing. To this extent, we provide a high level description of a crack propagation algorithm and showcase its capabilities. Alongside universal meshes for the simulation of brittle fracture, we provide other examples for which universal meshes prove to be a powerful tool, namely fluid flow past moving obstacles. Lastly, we conclude the manuscript with some remarks on the current state of universal meshes and future directions.


Stress Intensity Factor Brittle Fracture Hydraulic Fracture Crack Path Elasticity Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



This work was supported by the Office of Technology Licensing Stanford Graduate Fellowship to Maurizio M. Chiaramonte, the National Science Foundation Graduate Research Fellowship to Evan S. Gawlik, and the Franklin P. Johnson Jr. Stanford Graduate Fellowship to Hardik Kabaria. Adrian J. Lew acknowledges the support of National Science Foundation; contract/grant number CMMI-1301396.


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Maurizio M. Chiaramonte
    • 1
    Email author
  • Evan S. Gawlik
    • 1
  • Hardik Kabaria
    • 1
  • Adrian J. Lew
    • 1
  1. 1.Department of Mechanical Engineering and Institute for Computational and Mathematical EngineeringStanford UniversityStanfordUSA

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