Numerical Simulation on Size Effect of Fracture Toughness of Concrete Based on Mesomechanics

The fracture performance of concrete is size-dependent within a certain size range. A four-phase composite material numerical model of mesofracture considering a mortar matrix, coarse aggregates, an interfacial transition zone (ITZ) at the meso level and the initial defects of concrete was establish...

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Main Authors: Juan Wang, Qianqian Wu, Junfeng Guan, Peng Zhang, Hongyuan Fang, Shaowei Hu
Format: Article
Language:English
Published: MDPI AG 2020-03-01
Series:Materials
Subjects:
Online Access:https://www.mdpi.com/1996-1944/13/6/1370
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spelling doaj-0c84f6ef414f436b82cfbc73537306412020-11-25T02:10:43ZengMDPI AGMaterials1996-19442020-03-01136137010.3390/ma13061370ma13061370Numerical Simulation on Size Effect of Fracture Toughness of Concrete Based on MesomechanicsJuan Wang0Qianqian Wu1Junfeng Guan2Peng Zhang3Hongyuan Fang4Shaowei Hu5School of Water Conservancy Engineering, Zhengzhou University, Zhengzhou 450001, ChinaSchool of Water Conservancy Engineering, Zhengzhou University, Zhengzhou 450001, ChinaSchool of Civil Engineering and Communication, North China University of Water Resources and Electric Power, Zhengzhou 450045, ChinaSchool of Water Conservancy Engineering, Zhengzhou University, Zhengzhou 450001, ChinaSchool of Water Conservancy Engineering, Zhengzhou University, Zhengzhou 450001, ChinaSchool of Water Conservancy Engineering, Zhengzhou University, Zhengzhou 450001, ChinaThe fracture performance of concrete is size-dependent within a certain size range. A four-phase composite material numerical model of mesofracture considering a mortar matrix, coarse aggregates, an interfacial transition zone (ITZ) at the meso level and the initial defects of concrete was established. The initial defects were assumed to be distributed randomly in the ITZ of concrete. The numerical model of concrete mesofracture was established to simulate the fracture process of wedge splitting (WS) concrete specimens with widths of 200&#8722;2000 mm and three-point bending (3-p-b) concrete specimens with heights of 200&#8722;800 mm. The fracture process of concrete was simulated, and the peak load (<i>P</i><sub>max</sub>) of concrete was predicted using the numerical model. Based on the simulating results, the influence of specimen size of WS and 3-p-b tests on the fracture parameters was analyzed. It was demonstrated that when the specimen size was large enough, the fracture toughness (<i>K</i><sub>IC</sub>) value obtained by the linear elastic fracture mechanics formula was independent of the specimen size. Meanwhile, the improved boundary effect model (BEM) was employed to study the tensile strength (<i>f</i><sub>t</sub>) and fracture toughness of concrete using the mesofracture numerical model. A discrete value of <i>&#946;</i> = 1.0&#8722;1.4 was a sufficient approximation to determine the <i>f</i><sub>t</sub> and <i>K</i><sub>IC</sub> values of concrete.https://www.mdpi.com/1996-1944/13/6/1370concretesize effectfracture toughnesstensile strengthinitial defects
collection DOAJ
language English
format Article
sources DOAJ
author Juan Wang
Qianqian Wu
Junfeng Guan
Peng Zhang
Hongyuan Fang
Shaowei Hu
spellingShingle Juan Wang
Qianqian Wu
Junfeng Guan
Peng Zhang
Hongyuan Fang
Shaowei Hu
Numerical Simulation on Size Effect of Fracture Toughness of Concrete Based on Mesomechanics
Materials
concrete
size effect
fracture toughness
tensile strength
initial defects
author_facet Juan Wang
Qianqian Wu
Junfeng Guan
Peng Zhang
Hongyuan Fang
Shaowei Hu
author_sort Juan Wang
title Numerical Simulation on Size Effect of Fracture Toughness of Concrete Based on Mesomechanics
title_short Numerical Simulation on Size Effect of Fracture Toughness of Concrete Based on Mesomechanics
title_full Numerical Simulation on Size Effect of Fracture Toughness of Concrete Based on Mesomechanics
title_fullStr Numerical Simulation on Size Effect of Fracture Toughness of Concrete Based on Mesomechanics
title_full_unstemmed Numerical Simulation on Size Effect of Fracture Toughness of Concrete Based on Mesomechanics
title_sort numerical simulation on size effect of fracture toughness of concrete based on mesomechanics
publisher MDPI AG
series Materials
issn 1996-1944
publishDate 2020-03-01
description The fracture performance of concrete is size-dependent within a certain size range. A four-phase composite material numerical model of mesofracture considering a mortar matrix, coarse aggregates, an interfacial transition zone (ITZ) at the meso level and the initial defects of concrete was established. The initial defects were assumed to be distributed randomly in the ITZ of concrete. The numerical model of concrete mesofracture was established to simulate the fracture process of wedge splitting (WS) concrete specimens with widths of 200&#8722;2000 mm and three-point bending (3-p-b) concrete specimens with heights of 200&#8722;800 mm. The fracture process of concrete was simulated, and the peak load (<i>P</i><sub>max</sub>) of concrete was predicted using the numerical model. Based on the simulating results, the influence of specimen size of WS and 3-p-b tests on the fracture parameters was analyzed. It was demonstrated that when the specimen size was large enough, the fracture toughness (<i>K</i><sub>IC</sub>) value obtained by the linear elastic fracture mechanics formula was independent of the specimen size. Meanwhile, the improved boundary effect model (BEM) was employed to study the tensile strength (<i>f</i><sub>t</sub>) and fracture toughness of concrete using the mesofracture numerical model. A discrete value of <i>&#946;</i> = 1.0&#8722;1.4 was a sufficient approximation to determine the <i>f</i><sub>t</sub> and <i>K</i><sub>IC</sub> values of concrete.
topic concrete
size effect
fracture toughness
tensile strength
initial defects
url https://www.mdpi.com/1996-1944/13/6/1370
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