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Modeling fracture by material-point erosion

Pandolfi, A. and Li, B. and Ortiz, M. (2014) Modeling fracture by material-point erosion. In: Fracture Phenomena in Nature and Technology. Springer , Cham, Switzerland, pp. 3-16. ISBN 978-3-319-04396-8. https://resolver.caltech.edu/CaltechAUTHORS:20170719-112646074

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Abstract

The present work is concerned with the verification and validation of an implementation of the eigenfracture scheme of Schmidt et al. (SIAM J Multi-scale Model Simul 7:1237–1266, 2009) based on material-point erosion, which we refer to as eigenerosion. Eigenerosion is derived from the general eigenfracture scheme by restricting the eigendeformations in a binary sense: they can be either zero, in which case the local behavior is elastic; or they can be equal to the local displacement gradient, in which case the corresponding material neighborhood is failed, or eroded. When combined with a material-point spatial discretization, this scheme gives rise to material-point erosion, i. e., each material point can be either intact, in which case its behavior is elastic, or be completely failed—or eroded—and has no load bearing capacity. We verify the eigenerosion scheme through convergence studies for mode I fracture propagation in three-dimensional problems. By way of validation we apply the eigene-rosion scheme to the simulation of combined torsion- traction experiments in aluminum-oxide bars.


Item Type:Book Section
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URLURL TypeDescription
https://dx.doi.org/10.1007/978-3-319-04397-5_2DOIArticle
https://rdcu.be/b3RXMPublisherFree ReadCube access
http://resolver.caltech.edu/CaltechAUTHORS:20140109-090108326Related ItemJournal Article
ORCID:
AuthorORCID
Pandolfi, A.0000-0002-7084-7456
Ortiz, M.0000-0001-5877-4824
Additional Information:© 2014 Springer International Publishing Switzerland. First Online: 30 April 2014.
Group:GALCIT
Record Number:CaltechAUTHORS:20170719-112646074
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170719-112646074
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:79208
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:19 Jul 2017 19:01
Last Modified:29 Apr 2020 22:00

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