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The phase-field model with an auto-calibrated degradation function based on general softening laws for cohesive fracture

Qiao Wang, Wei Zhou, Yuntian Feng Orcid Logo

Applied Mathematical Modelling, Volume: 86, Pages: 185 - 206

Swansea University Author: Yuntian Feng Orcid Logo

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DOI (Published version): 10.1016/j.apm.2020.05.005

Abstract

Phase-field models have become popular to simulate cohesive failure problems because of their capability of predicting crack initiation and propagation without additional criteria. In this paper, new phase-field damage model coupled with general softening law for cohesive fracture is proposed based...

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Published in: Applied Mathematical Modelling
ISSN: 0307-904X
Published: Elsevier BV 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa54212
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spelling 2020-06-11T10:14:52.8426733 v2 54212 2020-05-14 The phase-field model with an auto-calibrated degradation function based on general softening laws for cohesive fracture d66794f9c1357969a5badf654f960275 0000-0002-6396-8698 Yuntian Feng Yuntian Feng true false 2020-05-14 CIVL Phase-field models have become popular to simulate cohesive failure problems because of their capability of predicting crack initiation and propagation without additional criteria. In this paper, new phase-field damage model coupled with general softening law for cohesive fracture is proposed based on the unified phase-field theory. The commonly used quadratic geometric function in the classical phase-field model is implemented in the proposed model. The modified degradation function related to the failure strength and length scale is used to obtain the length scale insensitive model. Based on the analytical solution of a 1-D case, general softening laws in cohesive zone models can be considered. Parameters in the degradation function can be calibrated according to different softening curves and material properties. Numerical examples show that the results obtained by the proposed model have a good agreement with experimental results and the length scale has a negligible influence on the load-displacement curves in most cases, which cannot be observed in classical phase-field model. Journal Article Applied Mathematical Modelling 86 185 206 Elsevier BV 0307-904X Phase-field model, General softening law, Length scale, Cohesive fracture, Unified phase-field theory 1 10 2020 2020-10-01 10.1016/j.apm.2020.05.005 http://dx.doi.org/10.1016/j.apm.2020.05.005 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2020-06-11T10:14:52.8426733 2020-05-14T10:56:59.1845168 Qiao Wang 1 Wei Zhou 2 Yuntian Feng 0000-0002-6396-8698 3 54212__17225__4aba8b35a98a423b930d1fb165e3ee45.pdf 54212.pdf 2020-05-14T11:01:05.4561443 Output 1258131 application/pdf Accepted Manuscript true 2021-05-19T00:00:00.0000000 © 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license true English http://creativecommons.org/licenses/by-nc-nd/4.0/
title The phase-field model with an auto-calibrated degradation function based on general softening laws for cohesive fracture
spellingShingle The phase-field model with an auto-calibrated degradation function based on general softening laws for cohesive fracture
Yuntian Feng
title_short The phase-field model with an auto-calibrated degradation function based on general softening laws for cohesive fracture
title_full The phase-field model with an auto-calibrated degradation function based on general softening laws for cohesive fracture
title_fullStr The phase-field model with an auto-calibrated degradation function based on general softening laws for cohesive fracture
title_full_unstemmed The phase-field model with an auto-calibrated degradation function based on general softening laws for cohesive fracture
title_sort The phase-field model with an auto-calibrated degradation function based on general softening laws for cohesive fracture
author_id_str_mv d66794f9c1357969a5badf654f960275
author_id_fullname_str_mv d66794f9c1357969a5badf654f960275_***_Yuntian Feng
author Yuntian Feng
author2 Qiao Wang
Wei Zhou
Yuntian Feng
format Journal article
container_title Applied Mathematical Modelling
container_volume 86
container_start_page 185
publishDate 2020
institution Swansea University
issn 0307-904X
doi_str_mv 10.1016/j.apm.2020.05.005
publisher Elsevier BV
url http://dx.doi.org/10.1016/j.apm.2020.05.005
document_store_str 1
active_str 0
description Phase-field models have become popular to simulate cohesive failure problems because of their capability of predicting crack initiation and propagation without additional criteria. In this paper, new phase-field damage model coupled with general softening law for cohesive fracture is proposed based on the unified phase-field theory. The commonly used quadratic geometric function in the classical phase-field model is implemented in the proposed model. The modified degradation function related to the failure strength and length scale is used to obtain the length scale insensitive model. Based on the analytical solution of a 1-D case, general softening laws in cohesive zone models can be considered. Parameters in the degradation function can be calibrated according to different softening curves and material properties. Numerical examples show that the results obtained by the proposed model have a good agreement with experimental results and the length scale has a negligible influence on the load-displacement curves in most cases, which cannot be observed in classical phase-field model.
published_date 2020-10-01T04:07:36Z
_version_ 1763753544884682752
score 11.013799

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