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Data-driven rate-dependent fracture mechanics

Carrara, P. and Ortiz, M. and De Lorenzis, L. (2021) Data-driven rate-dependent fracture mechanics. Journal of the Mechanics and Physics of Solids, 155 . Art. No. 104559. ISSN 0022-5096. doi:10.1016/j.jmps.2021.104559. https://resolver.caltech.edu/CaltechAUTHORS:20210722-144956534

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Abstract

We extend the model-free data-driven paradigm for rate-independent fracture mechanics proposed in Carrara et al. (2020), to rate-dependent fracture and sub-critical fatigue. The problem is formulated by combining the balance governing equations stemming from variational principles with a set of data points that encodes the fracture constitutive behavior of the material. The solution is found as the data point that best satisfies the meta-stability condition as given by the variational procedure and following a distance minimization approach based on closest-point-projection. The approach is tested on different setups adopting different types of rate-dependent fracture and fatigue models affected or not by white noise.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/j.jmps.2021.104559DOIArticle
https://arxiv.org/abs/2103.12396arXivDiscussion Paper
ORCID:
AuthorORCID
Carrara, P.0000-0003-4740-1306
Ortiz, M.0000-0001-5877-4824
De Lorenzis, L.0000-0003-2748-3287
Additional Information:© 2021 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license. Received 22 March 2021, Revised 24 June 2021, Accepted 29 June 2021, Available online 13 July 2021. P. Carrara gratefully acknowledges the financial support of the German Research Foundation (DFG) through the Fellowship Grant CA 2359/1. CRediT authorship contribution statement: P. Carrara: Conceptualization, Methodology, Writing – original draft, Writing – review & editing, Investigation, Funding acquisition. M. Ortiz: Conceptualization, Methodology, Writing – review & editing. L. De Lorenzis: Conceptualization, Writing – original draft, Writing – review & editing. The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Funders:
Funding AgencyGrant Number
Deutsche Forschungsgemeinschaft (DFG)CA 2359/1
Subject Keywords:Data-driven computational mechanics; Fatigue; Fracture mechanics; Rate-dependent fracture
DOI:10.1016/j.jmps.2021.104559
Record Number:CaltechAUTHORS:20210722-144956534
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20210722-144956534
Official Citation:P. Carrara, M. Ortiz, L. De Lorenzis, Data-driven rate-dependent fracture mechanics, Journal of the Mechanics and Physics of Solids, Volume 155, 2021, 104559, ISSN 0022-5096, https://doi.org/10.1016/j.jmps.2021.104559.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:109974
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:26 Jul 2021 22:34
Last Modified:26 Jul 2021 22:34

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