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

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Book cover Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 81))

Abstract

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.

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Acknowledgments

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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Authors and Affiliations

  1. Department of Mechanical Engineering and Institute for Computational and Mathematical Engineering, Stanford University, Stanford, USA

    Maurizio M. Chiaramonte, Evan S. Gawlik, Hardik Kabaria & Adrian J. Lew

Authors
  1. Maurizio M. Chiaramonte
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  2. Evan S. Gawlik
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  3. Hardik Kabaria
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  4. Adrian J. Lew
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Correspondence to Maurizio M. Chiaramonte .

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Editors and Affiliations

  1. FB 11 - Maschinenbau, Universität Siegen, Siegen, Germany

    Kerstin Weinberg

  2. Politecnico di Milano, Milano, Italy

    Anna Pandolfi

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Chiaramonte, M.M., Gawlik, E.S., Kabaria, H., Lew, A.J. (2016). Universal Meshes for the Simulation of Brittle Fracture and Moving Boundary Problems. In: Weinberg, K., Pandolfi, A. (eds) Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems. Lecture Notes in Applied and Computational Mechanics, vol 81. Springer, Cham. https://doi.org/10.1007/978-3-319-39022-2_6

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  • DOI: https://doi.org/10.1007/978-3-319-39022-2_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-39021-5

  • Online ISBN: 978-3-319-39022-2

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