Application of Asymmetric Notched Semi-Circular Bending Specimen to Evaluate Mixed-Mode I-II Fracture Behaviors of Sandstone

In this paper, to investigate mixed-mode I-II fracture behaviors, three different asymmetric notched semi-circular bending specimens (ANSCB) were designed by adjusting the angle and the distance between supporting rollers to conduct asymmetric three-point bending tests. Several aid technologies, inc...

Full description

Bibliographic Details
Main Authors: Gang Ma, Jiangteng Li, Xiang Zhou, Lianying Zhang, Peitao Qiu, Yang Yu
Format: Article
Language:English
Published: MDPI AG 2022-06-01
Series:Fractal and Fractional
Subjects:
Online Access:https://www.mdpi.com/2504-3110/6/6/336
_version_ 1797487314397560832
author Gang Ma
Jiangteng Li
Xiang Zhou
Lianying Zhang
Peitao Qiu
Yang Yu
author_facet Gang Ma
Jiangteng Li
Xiang Zhou
Lianying Zhang
Peitao Qiu
Yang Yu
author_sort Gang Ma
collection DOAJ
description In this paper, to investigate mixed-mode I-II fracture behaviors, three different asymmetric notched semi-circular bending specimens (ANSCB) were designed by adjusting the angle and the distance between supporting rollers to conduct asymmetric three-point bending tests. Several aid technologies, including acoustic emission (AE), digital image correlation (DIC), crack propagation gauge (CPG), and scanning electron microscopy (SEM), was utilized to monitor and assess the fracture characteristic. Meanwhile, the fractal dimension of the fracture surface was assessed based on the reconstructed digital fracture surface. The results show that mixed-mode I-II ANSCB three-point bending fracture is a brittle failure with the characteristics of the main crack being rapidly transfixed and the bearing capacity decreasing sharply. Based on the DIC method, the whole fracture process consists of a nonlinear elastic stage, fracture process zone, crack initiation stage and crack propagation stage. The crack initiation is mainly caused by the tension-shear strain concentration at the pre-existing crack tip. At the microscale, the crack propagation path is always along the grain boundary where the resultant stress is weakest. According to the monitoring of the AE, it can be found that micro-tensile cracks are mainly responsible for the asymmetric three-point bending fracture. The data obtained by CPG suggest that the subcritical crack growth rate is positively correlated to the ultimate load. In addition, asymmetric loading leads to a coarser fracture surface, and thus a higher fractal dimension of the fracture surface. The current study can provide a better understanding of the mixed-mode I-II fracture behaviors of rock.
first_indexed 2024-03-09T23:45:51Z
format Article
id doaj.art-7a0fdb2ab5814ce7bd030c5bf85a10c8
institution Directory Open Access Journal
issn 2504-3110
language English
last_indexed 2024-03-09T23:45:51Z
publishDate 2022-06-01
publisher MDPI AG
record_format Article
series Fractal and Fractional
spelling doaj.art-7a0fdb2ab5814ce7bd030c5bf85a10c82023-11-23T16:43:01ZengMDPI AGFractal and Fractional2504-31102022-06-016633610.3390/fractalfract6060336Application of Asymmetric Notched Semi-Circular Bending Specimen to Evaluate Mixed-Mode I-II Fracture Behaviors of SandstoneGang Ma0Jiangteng Li1Xiang Zhou2Lianying Zhang3Peitao Qiu4Yang Yu5School of Civil Engineering, Central South University, Changsha 410075, ChinaSchool of Resources and Safety Engineering, Central South University, Changsha 410083, ChinaSchool of Civil Engineering, Central South University, Changsha 410075, ChinaSchool of Civil Engineering, Xuzhou University of Technology, Xuzhou 221018, ChinaSchool of Civil Engineering, Xuzhou University of Technology, Xuzhou 221018, ChinaSchool of Civil Engineering, Xuzhou University of Technology, Xuzhou 221018, ChinaIn this paper, to investigate mixed-mode I-II fracture behaviors, three different asymmetric notched semi-circular bending specimens (ANSCB) were designed by adjusting the angle and the distance between supporting rollers to conduct asymmetric three-point bending tests. Several aid technologies, including acoustic emission (AE), digital image correlation (DIC), crack propagation gauge (CPG), and scanning electron microscopy (SEM), was utilized to monitor and assess the fracture characteristic. Meanwhile, the fractal dimension of the fracture surface was assessed based on the reconstructed digital fracture surface. The results show that mixed-mode I-II ANSCB three-point bending fracture is a brittle failure with the characteristics of the main crack being rapidly transfixed and the bearing capacity decreasing sharply. Based on the DIC method, the whole fracture process consists of a nonlinear elastic stage, fracture process zone, crack initiation stage and crack propagation stage. The crack initiation is mainly caused by the tension-shear strain concentration at the pre-existing crack tip. At the microscale, the crack propagation path is always along the grain boundary where the resultant stress is weakest. According to the monitoring of the AE, it can be found that micro-tensile cracks are mainly responsible for the asymmetric three-point bending fracture. The data obtained by CPG suggest that the subcritical crack growth rate is positively correlated to the ultimate load. In addition, asymmetric loading leads to a coarser fracture surface, and thus a higher fractal dimension of the fracture surface. The current study can provide a better understanding of the mixed-mode I-II fracture behaviors of rock.https://www.mdpi.com/2504-3110/6/6/336mixed-mode I-IIasymmetric notched semi-circular bendingthree-point bending testdigital image correlationfractal dimension
spellingShingle Gang Ma
Jiangteng Li
Xiang Zhou
Lianying Zhang
Peitao Qiu
Yang Yu
Application of Asymmetric Notched Semi-Circular Bending Specimen to Evaluate Mixed-Mode I-II Fracture Behaviors of Sandstone
Fractal and Fractional
mixed-mode I-II
asymmetric notched semi-circular bending
three-point bending test
digital image correlation
fractal dimension
title Application of Asymmetric Notched Semi-Circular Bending Specimen to Evaluate Mixed-Mode I-II Fracture Behaviors of Sandstone
title_full Application of Asymmetric Notched Semi-Circular Bending Specimen to Evaluate Mixed-Mode I-II Fracture Behaviors of Sandstone
title_fullStr Application of Asymmetric Notched Semi-Circular Bending Specimen to Evaluate Mixed-Mode I-II Fracture Behaviors of Sandstone
title_full_unstemmed Application of Asymmetric Notched Semi-Circular Bending Specimen to Evaluate Mixed-Mode I-II Fracture Behaviors of Sandstone
title_short Application of Asymmetric Notched Semi-Circular Bending Specimen to Evaluate Mixed-Mode I-II Fracture Behaviors of Sandstone
title_sort application of asymmetric notched semi circular bending specimen to evaluate mixed mode i ii fracture behaviors of sandstone
topic mixed-mode I-II
asymmetric notched semi-circular bending
three-point bending test
digital image correlation
fractal dimension
url https://www.mdpi.com/2504-3110/6/6/336
work_keys_str_mv AT gangma applicationofasymmetricnotchedsemicircularbendingspecimentoevaluatemixedmodeiiifracturebehaviorsofsandstone
AT jiangtengli applicationofasymmetricnotchedsemicircularbendingspecimentoevaluatemixedmodeiiifracturebehaviorsofsandstone
AT xiangzhou applicationofasymmetricnotchedsemicircularbendingspecimentoevaluatemixedmodeiiifracturebehaviorsofsandstone
AT lianyingzhang applicationofasymmetricnotchedsemicircularbendingspecimentoevaluatemixedmodeiiifracturebehaviorsofsandstone
AT peitaoqiu applicationofasymmetricnotchedsemicircularbendingspecimentoevaluatemixedmodeiiifracturebehaviorsofsandstone
AT yangyu applicationofasymmetricnotchedsemicircularbendingspecimentoevaluatemixedmodeiiifracturebehaviorsofsandstone