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Quasicontinuum models of fracture and plasticity

Miller, R. and Ortiz, M. and Phillips, R. and Shenoy, V. and Tadmor, E. B. (1998) Quasicontinuum models of fracture and plasticity. Engineering Fracture Mechanics, 61 (3-4). pp. 427-444. ISSN 0013-7944. doi:10.1016/S0013-7944(98)00047-2.

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The development of modeling tools which allow for the simultaneous treatment of scales ranging from Ångstroms to microns has stood out as one of the main challenges in materials modeling. In this paper we discuss a formulation of the quasicontinuum (QC) method that allows for a treatment of internal interfaces, opening the possibility of simulating the interactions of cracks, dislocations and grain boundaries. The model is applied to crack tip deformation and is shown to account for both brittle fracture and crack tip dislocation emission. A key example of the method is the treatment of a crack propagating into a grain boundary which reveals both migration of the boundary and that the boundary is a source for the emission of dislocations.

Item Type:Article
Related URLs:
URLURL TypeDescription
Ortiz, M.0000-0001-5877-4824
Phillips, R.0000-0003-3082-2809
Additional Information:© 1998 Elsevier. Received 7 August 1997, Revised 4 March 1998. We are grateful to C. Briant, R. Clifton, B. Freund and D. Rodney for discussions, to S. W. Sloan for use of his Delaunay triangulation code and to M. Daw and S. Foiles for the use of their Dynamo code. We are also grateful to AFOSR who supported this work under grant number F49620-95-I-0264 and the NSF through grants CMS-9414648 and the Brown MRSEC DMR-9632524, and the DOE through grant DE-FG02-95ER14561. RM thanks the NSERC for support.
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)F49620-95-I-0264
Department of Energy (DOE)DE-FG02-95ER14561
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Issue or Number:3-4
Record Number:CaltechAUTHORS:20171213-100643529
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Official Citation:R. Miller, M. Ortiz, R. Phillips, V. Shenoy, E.B. Tadmor, Quasicontinuum models of fracture and plasticity, In Engineering Fracture Mechanics, Volume 61, Issues 3–4, 1998, Pages 427-444, ISSN 0013-7944, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:83874
Deposited By: Lydia Suarez
Deposited On:13 Dec 2017 19:57
Last Modified:15 Nov 2021 20:14

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