Data-driven rate-dependent fracture mechanics
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.
© 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.
Published - 1-s2.0-S0022509621002131-main_pub.pdf
Submitted - 2103.12396.pdf