Skip navigation
Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/4240
Title: An auto-adaptive sub-stepping algorithm for phase-field modeling of brittle fracture
Authors: Gupta A.
Krishnan U.M.
Chowdhury R.
Chakrabarti A.
Published in: Theoretical and Applied Fracture Mechanics
Abstract: In this work, we propose an auto-adaptive displacement stepping algorithm to auto-adaptively adjust the displacement step size while solving the quasi-static brittle fracture propagation problem with the phase-field method. We employ a step size controller based on an ‘a posteriori’ error estimator to achieve adaptivity in the displacement step size. To capture correct crack propagation behavior near peak load, we propose an energy-based conditional. The conditional is evaluated in a sub-step of the primary displacement step, and it decides whether to accept or reject the step. Based on the step size controller algorithm and the sub-stepping algorithm, we formulate the auto-adaptive sub-stepping algorithm. We investigate the accuracy and computational cost of the proposed algorithm on several benchmark problems from the literature and compare it to the standard alternate minimization (AM) approach. The algorithm auto-adaptively adjusts the size of the displacement step and allows us to use step sizes that may vary by even three orders of magnitude. As compared to the standard AM algorithm, this results in a reduction of 78–90% in the CPU time required to reach peak reaction force, and 56–78% reduction in the CPU time needed to complete analysis, and always maintains the accuracy in crack path prediction. © 2020 Elsevier Ltd
Citation: Theoretical and Applied Fracture Mechanics(2020), 108(): -
URI: https://doi.org/10.1016/j.tafmec.2020.102622
http://repository.iitr.ac.in/handle/123456789/4240
Issue Date: 2020
Publisher: Elsevier B.V.
Keywords: Adaptive stepping
Brittle fracture
Damage
FEniCS
Phase field
ISSN: 1678442
Author Scopus IDs: 57216950100
57216944153
10046255200
7202579052
Author Affiliations: Gupta, A., Department of Civil Engineering, Indian Institute of Technology Roorkee, India
Krishnan, U.M., Department of Civil Engineering, Indian Institute of Technology Roorkee, India
Chowdhury, R., Department of Civil Engineering, Indian Institute of Technology Roorkee, India
Chakrabarti, A., Department of Civil Engineering, Indian Institute of Technology Roorkee, India
Funding Details: The authors gratefully acknowledge financial support from the Ministry of Human Resource Development. The first author (Abhinav Gupta) would also like to thank Tushar K. Mandal (Monash University, Australia) for inspiring discussions on the phase field method. The third author (Rajib Chowdhury) additionally acknowledges funding support from the SERB via file No. CRG/2019/004600.
Corresponding Author: Chowdhury, R.; Department of Civil Engineering, Indian Institute of Technology RoorkeeIndia; email: rajibfce@iitr.ac.in
Appears in Collections:Journal Publications [CE]

Files in This Item:
There are no files associated with this item.
Show full item record


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.