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Phase-field study of crack nucleation and propagation in elastic-perfectly plastic bodies

Brach, Stella and Tanné, Erwan and Bourdin, Blaise and Bhattacharya, Kaushik (2019) Phase-field study of crack nucleation and propagation in elastic-perfectly plastic bodies. Computer Methods in Applied Mechanics and Engineering, 353 . pp. 44-65. ISSN 0045-7825. http://resolver.caltech.edu/CaltechAUTHORS:20190124-072222651

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Abstract

Crack initiation and propagation in elastic–perfectly plastic bodies is studied in a phase-field or variational gradient damage formulation. A rate-independent formulation that naturally couples elasticity, perfect plasticity and fracture is presented, and used to study crack initiation in notched specimens and crack propagation using a surfing boundary condition. Both plane strain and plane stress are addressed. It is shown that in plane strain, a plastic zone blunts the notch or crack tip which in turn inhibits crack nucleation and propagation. Sufficient load causes the crack to nucleate or unpin, but the crack does so with a finite jump. Therefore the propagation is intermittent or jerky leaving behind a rough surface. In plane stress, failure proceeds with an intense shear zone ahead of the notch or crack tip and the fracture process is not complete.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/j.cma.2019.04.027DOIArticle
https://arxiv.org/abs/1812.05223arXivDiscussion Paper
ORCID:
AuthorORCID
Brach, Stella0000-0003-4766-8131
Bhattacharya, Kaushik0000-0003-2908-5469
Additional Information:© 2019 Elsevier B.V. Received 21 November 2018, Revised 16 April 2019, Accepted 24 April 2019, Available online 11 May 2019. We have greatly benefited from many discussions with G. “Ravi” Ravichandran, Katherine Faber, Amine Benzerga and Alan Needleman. SB, BB, and KB acknowledge the financial support of the U.S. National Science Foundation (Grant No. DMS-1535083 and 1535076) under the Designing Materials to Revolutionize and Engineer our Future (DMREF) Program. Code development for vDef was supported in part by U.S. National Science Foundation (Grant No. DMS-1716763) under the Applied Mathematics program. Some numerical experiments were performed using resources of the Extreme Science and Engineering Discovery Environment (XSEDE), which is supported by National Science Foundation grant number OCI-1053575 under the Resource Allocation TG-DMS060014 and others at the Caltech high performance cluster supported in part by the Moore Foundation, USA.
Funders:
Funding AgencyGrant Number
NSFDMS-1535083
NSFDMS-1535076
NSFDMS-1716763
NSFOCI-1053575
NSFTG-DMS060014
Gordon and Betty Moore FoundationUNSPECIFIED
Record Number:CaltechAUTHORS:20190124-072222651
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20190124-072222651
Official Citation:Stella Brach, Erwan Tanné, Blaise Bourdin, Kaushik Bhattacharya, Phase-field study of crack nucleation and propagation in elastic–perfectly plastic bodies, Computer Methods in Applied Mechanics and Engineering, Volume 353, 2019, Pages 44-65, ISSN 0045-7825, https://doi.org/10.1016/j.cma.2019.04.027. (http://www.sciencedirect.com/science/article/pii/S0045782519302300)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:92441
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:24 Jan 2019 15:44
Last Modified:29 May 2019 17:14

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