Improved virtual extensometer measurement method in complex multi-fracture situation

Abstract To overcome the limitation of the virtual extensometer method in measuring the crack opening displacement (COD) in the process of complex multi-crack propagation of rock, the measurement error of Digital Image Correlation (DIC) local deformation is theoretically analyzed. An improved virtua...

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Main Authors: Jing Chai, Yibo Ouyang, Jinxuan Liu, Dingding Zhang, Wengang Du, Jianfeng Yang, Yongliang Liu, Zhe Ma
Format: Article
Language:English
Published: Nature Portfolio 2022-04-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-022-08393-9
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author Jing Chai
Yibo Ouyang
Jinxuan Liu
Dingding Zhang
Wengang Du
Jianfeng Yang
Yongliang Liu
Zhe Ma
author_facet Jing Chai
Yibo Ouyang
Jinxuan Liu
Dingding Zhang
Wengang Du
Jianfeng Yang
Yongliang Liu
Zhe Ma
author_sort Jing Chai
collection DOAJ
description Abstract To overcome the limitation of the virtual extensometer method in measuring the crack opening displacement (COD) in the process of complex multi-crack propagation of rock, the measurement error of Digital Image Correlation (DIC) local deformation is theoretically analyzed. An improved virtual extensometer method for measuring the COD is proposed, which considers the temporal and spatial characteristics of crack development in the process of complex crack propagation. The accuracy of the proposed method is verified by the strain localization band numerical simulation test and indoor single crack simulation test. Furthermore, the method is applied to the two-dimensional similarity simulation test of simulating complex multi-fractures in rock stratum. The COD obtained by the traditional and improved methods is compared with the measured COD. The results show that in the case of multiple complex cracks, to obtain the COD accurately, the relative distance between the virtual extensometer measuring point and the crack should be greater than half of the sum of the width of the crack strain localization zone and the subset size. With the development of the crack, the relative distance between the virtual extensometer measuring point and the crack should increase with the increase of the width of the crack strain localization zone. The error of the COD measured by the traditional method increases with fracture development, and the maximum is 21.20%. The maximum relative error between the COD measured by the improved method and the measured crack opening is 3.61%. The research results improve the accuracy of the virtual extensometer in measuring the COD under complex multi-crack conditions.
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spelling doaj.art-5c27af435bc54472b8363de70071ebc12022-12-22T00:14:31ZengNature PortfolioScientific Reports2045-23222022-04-0112111410.1038/s41598-022-08393-9Improved virtual extensometer measurement method in complex multi-fracture situationJing Chai0Yibo Ouyang1Jinxuan Liu2Dingding Zhang3Wengang Du4Jianfeng Yang5Yongliang Liu6Zhe Ma7School of Energy Science and Engineering, Xi’an University of Science and TechnologySchool of Energy Science and Engineering, Xi’an University of Science and TechnologySchool of Energy Science and Engineering, Xi’an University of Science and TechnologySchool of Energy Science and Engineering, Xi’an University of Science and TechnologySchool of Energy Science and Engineering, Xi’an University of Science and TechnologySchool of Energy Science and Engineering, Xi’an University of Science and TechnologySchool of Energy Science and Engineering, Xi’an University of Science and TechnologySchool of Energy Science and Engineering, Xi’an University of Science and TechnologyAbstract To overcome the limitation of the virtual extensometer method in measuring the crack opening displacement (COD) in the process of complex multi-crack propagation of rock, the measurement error of Digital Image Correlation (DIC) local deformation is theoretically analyzed. An improved virtual extensometer method for measuring the COD is proposed, which considers the temporal and spatial characteristics of crack development in the process of complex crack propagation. The accuracy of the proposed method is verified by the strain localization band numerical simulation test and indoor single crack simulation test. Furthermore, the method is applied to the two-dimensional similarity simulation test of simulating complex multi-fractures in rock stratum. The COD obtained by the traditional and improved methods is compared with the measured COD. The results show that in the case of multiple complex cracks, to obtain the COD accurately, the relative distance between the virtual extensometer measuring point and the crack should be greater than half of the sum of the width of the crack strain localization zone and the subset size. With the development of the crack, the relative distance between the virtual extensometer measuring point and the crack should increase with the increase of the width of the crack strain localization zone. The error of the COD measured by the traditional method increases with fracture development, and the maximum is 21.20%. The maximum relative error between the COD measured by the improved method and the measured crack opening is 3.61%. The research results improve the accuracy of the virtual extensometer in measuring the COD under complex multi-crack conditions.https://doi.org/10.1038/s41598-022-08393-9
spellingShingle Jing Chai
Yibo Ouyang
Jinxuan Liu
Dingding Zhang
Wengang Du
Jianfeng Yang
Yongliang Liu
Zhe Ma
Improved virtual extensometer measurement method in complex multi-fracture situation
Scientific Reports
title Improved virtual extensometer measurement method in complex multi-fracture situation
title_full Improved virtual extensometer measurement method in complex multi-fracture situation
title_fullStr Improved virtual extensometer measurement method in complex multi-fracture situation
title_full_unstemmed Improved virtual extensometer measurement method in complex multi-fracture situation
title_short Improved virtual extensometer measurement method in complex multi-fracture situation
title_sort improved virtual extensometer measurement method in complex multi fracture situation
url https://doi.org/10.1038/s41598-022-08393-9
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