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

24 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 Dive into the research topics of 'Statistical analysis of concrete fracture using normal distribution pertinent to maximum aggregate size'. Together they form a unique fingerprint.

Cite this