Universal meshes for the simulation of brittle fracture and moving boundary problems

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

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 universalmesh), 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.

Original languageEnglish (US)
Title of host publicationInnovative Numerical Approaches for Multi-Field and Multi-Scale Problems - In Honor of Michael Ortiz’s 60th Birthday
EditorsKerstin Weinberg, Anna Pandolfi
PublisherSpringer Verlag
Pages115-134
Number of pages20
ISBN (Print)9783319390215
DOIs
StatePublished - Jan 1 2016
EventInternational symposium on Innovative numerical approaches for materials and structures in multi-field and multi-scale problems, 2014 - Siegen, Germany
Duration: Sep 1 2014Sep 4 2014

Publication series

NameLecture Notes in Applied and Computational Mechanics
Volume81
ISSN (Print)1613-7736

Other

OtherInternational symposium on Innovative numerical approaches for materials and structures in multi-field and multi-scale problems, 2014
CountryGermany
CitySiegen
Period9/1/149/4/14

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Computational Theory and Mathematics

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  • Cite this

    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 K. Weinberg, & A. Pandolfi (Eds.), Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems - In Honor of Michael Ortiz’s 60th Birthday (pp. 115-134). (Lecture Notes in Applied and Computational Mechanics; Vol. 81). Springer Verlag. https://doi.org/10.1007/978-3-319-39022-2_6