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 language | English |
|---|---|
| Pages (from-to) | 236-253 |
| Number of pages | 18 |
| Journal | Theoretical and Applied Fracture Mechanics |
| Volume | 101 |
| DOIs | |
| Publication status | Published - 1 Jun 2019 |
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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 journal › Article
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
Y1 - 2019/6/1
N2 - 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.
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
UR - http://www.scopus.com/inward/record.url?scp=85062936055&partnerID=8YFLogxK
U2 - 10.1016/j.tafmec.2019.03.004
DO - 10.1016/j.tafmec.2019.03.004
M3 - Article
VL - 101
SP - 236
EP - 253
JO - Theoretical and Applied Fracture Mechanics
JF - Theoretical and Applied Fracture Mechanics
SN - 0167-8442
ER -