Statistical analysis of concrete fracture using normal distribution pertinent to maximum aggregate size

Junfeng Guan, Peng Yuan, Xiaozhi Hu, Longbang Qing, Xianhua Yao

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

A normal distribution methodology is proposed by considering variations in fictitious crack growth Δa fic at notch-tip in concrete specimens at peak load P max due to heterogeneous aggregate structures. The variation in Δa fic leads to normal distributions in measured tensile strength f t and fracture toughness K IC . These normal distributions with a small standard deviation can be obtained. The quasi-brittle fracture of concretes with maximum aggregate size d max = 10–40 mm are analyzed with the simple relation between characteristic crack of concrete a ch * and d max . The statistical analyses are performed using a new closed-form solution of the boundary effect model, which considers the scatters in the peak load P max of notched specimens due to the variations in fictitious crack growth Δa fic . The peak loads P max with 95% reliability are reliably predicted for notched concrete specimens.

Original languageEnglish
Pages (from-to)236-253
Number of pages18
JournalTheoretical and Applied Fracture Mechanics
Volume101
DOIs
Publication statusPublished - 1 Jun 2019

Fingerprint

Normal distribution
normal density functions
statistical analysis
Statistical Analysis
Gaussian distribution
Statistical methods
Crack Growth
Concretes
cracks
Brittle Fracture
Crack propagation
Boundary Effect
Fracture Toughness
Tensile Strength
Notch
Scatter
Closed-form Solution
Standard deviation
Crack
Brittle fracture

Cite this

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title = "Statistical analysis of concrete fracture using normal distribution pertinent to maximum aggregate size",
abstract = "A normal distribution methodology is proposed by considering variations in fictitious crack growth Δa fic at notch-tip in concrete specimens at peak load P max due to heterogeneous aggregate structures. The variation in Δa fic leads to normal distributions in measured tensile strength f t and fracture toughness K IC . These normal distributions with a small standard deviation can be obtained. The quasi-brittle fracture of concretes with maximum aggregate size d max = 10–40 mm are analyzed with the simple relation between characteristic crack of concrete a ch * and d max . The statistical analyses are performed using a new closed-form solution of the boundary effect model, which considers the scatters in the peak load P max of notched specimens due to the variations in fictitious crack growth Δa fic . The peak loads P max with 95{\%} reliability are reliably predicted for notched concrete specimens.",
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Statistical analysis of concrete fracture using normal distribution pertinent to maximum aggregate size. / Guan, Junfeng; Yuan, Peng; Hu, Xiaozhi; Qing, Longbang; Yao, Xianhua.

In: Theoretical and Applied Fracture Mechanics, Vol. 101, 01.06.2019, p. 236-253.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Statistical analysis of concrete fracture using normal distribution pertinent to maximum aggregate size

AU - Guan, Junfeng

AU - Yuan, Peng

AU - Hu, Xiaozhi

AU - Qing, Longbang

AU - Yao, Xianhua

PY - 2019/6/1

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AB - A normal distribution methodology is proposed by considering variations in fictitious crack growth Δa fic at notch-tip in concrete specimens at peak load P max due to heterogeneous aggregate structures. The variation in Δa fic leads to normal distributions in measured tensile strength f t and fracture toughness K IC . These normal distributions with a small standard deviation can be obtained. The quasi-brittle fracture of concretes with maximum aggregate size d max = 10–40 mm are analyzed with the simple relation between characteristic crack of concrete a ch * and d max . The statistical analyses are performed using a new closed-form solution of the boundary effect model, which considers the scatters in the peak load P max of notched specimens due to the variations in fictitious crack growth Δa fic . The peak loads P max with 95% reliability are reliably predicted for notched concrete specimens.

KW - Aggregate size

KW - Concrete

KW - Fictitious crack growth length

KW - Fracture toughness

KW - Normal distribution

KW - Tensile strength

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