TY - GEN
T1 - Universal meshes for the simulation of brittle fracture and moving boundary problems
AU - Chiaramonte, Maurizio M.
AU - Gawlik, Evan S.
AU - Kabaria, Hardik
AU - Lew, Adrian J.
N1 - Funding Information:
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.
Publisher Copyright:
© Springer International Publishing Switzerland 2016.
PY - 2016
Y1 - 2016
N2 - 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.
AB - 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.
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U2 - 10.1007/978-3-319-39022-2_6
DO - 10.1007/978-3-319-39022-2_6
M3 - Conference contribution
AN - SCOPUS:84978249319
SN - 9783319390215
T3 - Lecture Notes in Applied and Computational Mechanics
SP - 115
EP - 134
BT - Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems - In Honor of Michael Ortiz’s 60th Birthday
A2 - Weinberg, Kerstin
A2 - Pandolfi, Anna
PB - Springer Verlag
T2 - International symposium on Innovative numerical approaches for materials and structures in multi-field and multi-scale problems, 2014
Y2 - 1 September 2014 through 4 September 2014
ER -