超高性能混凝土的脆性系数和抗压强度设计值

杨简; 罗俊伟; 陈宝春; 罗霞; 孙同庆; 王文荣

doi:10.19818/j.cnki.1671-1637.2025.06.005

超高性能混凝土的脆性系数和抗压强度设计值

doi: 10.19818/j.cnki.1671-1637.2025.06.005

杨简^{1, 2, ,},
罗俊伟^{1, 2},
陈宝春^{3, 4},
罗霞⁴,
孙同庆³,
王文荣⁵

1.
防灾减灾湖北省重点实验室, 湖北宜昌 443070
2.
三峡大学土木与建筑学院, 湖北宜昌 443002
3.
福州大学土木工程学院, 福建福州 350108
4.
福建理工大学土木工程学院, 福建福州 350118
5.
中交二航武汉港湾新材料有限公司, 湖北武汉 430040

基金项目:

国家自然科学基金青年科学基金项目 52508206

湖北省博士后创新项目 52508206

详细信息

作者简介:
杨简(1990-)，男，湖北宜昌人，三峡大学讲师，工学博士，从事超高性能混凝土材料和结构应用研究

中图分类号: U444
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- 被引次数: 0
出版历程
- 收稿日期: 2024-12-30
- 录用日期: 2025-05-06
- 修回日期: 2025-03-05
- 刊出日期: 2025-12-28

Brittleness coefficient and compressive strength design value of ultra-high performance concrete

YANG Jian^{1, 2
, ,},
LUO Jun-wei^{1, 2},
CHEN Bao-chun^{3, 4},
LUO Xia⁴,
SUN Tong-qing³,
WANG Wen-rong⁵

1.
Hubei Key Laboratory of Disaster Prevention and Mitigation, Yichang 430070, Hubei, China
2.
College of Civil Engineering & Architecture, China Three Gorges University, Yichang 443002, Hubei, China
3.
College of Civil Engineering, Fuzhou University, Fuzhou 350108, Fujian, China
4.
School of Civil Engineering, Fujian University of Technology, Fuzhou 350118, Fujian, China
5.
CCCC SHEC Wuhan Harbour New Materials Co., Ltd., Wuhan 430040, Hubei, China

Funds:

National Natural Science Foundation of China for Young Scientists Project 52508206

Postdoctoral Innovation Project of Hubei Province 52508206

More Information

Corresponding author: YANG Jian (1990-), male, lecturer, PhD, 845175145@qq.com

Article Text (Baidu Translation)

摘要

摘要: 为探讨超高性能混凝土(UHPC)的脆性系数和抗压强度设计值，开展了2组试验研究(Ⅰ组和Ⅱ组)。Ⅰ组试验针对11种工程常用强度等级的UHPC进行缺口梁抗折试验，测试其断裂韧性，并以其作为脆性系数的对立指标间接推导各强度等级UHPC的脆性系数，Ⅱ组试验通过15批次UHPC棱柱体与立方体试件的抗压测试，研究抗压强度测试的形状效应，整合试验数据与国内外相关文献数据构建数据库，进行数值分析以确定UHPC标准棱柱体与标准立方体试件的抗压强度比值。试验结果表明：在相同抗压强度等级下，随着抗拉性能等级的提升，UHPC的韧性显著增强；随着试件尺寸增大，棱柱体与立方体之间的强度比值即形状效应逐渐加剧，但增长趋势趋于平缓；基于试验数据并综合参考现行相关标准中关于脆性系数的取值方法，提出了适用于各等级UHPC的脆性系数推荐值；数值分析得出UHPC标准棱柱体与标准立方体试件的抗压强度比值为0.89；参照普通混凝土抗压强度设值的确定方法，结合所确定的脆性数与形状效应系数，提出了11个用UHPC强度等级的抗压强度设计值推荐取值，为UHPC结构设计规范的完善提供了试验依据和系数支持。
- 桥梁工程 /
- 超高性能混凝土 /
- 抗折试验 /
- 脆性系数 /
- 抗压强度设计值 /
- 形状效应 /
- 抗压强度测试
Abstract: Two groups of experimental studies (group Ⅰ and group Ⅱ) were carried out to investigate the brittle coefficient and compressive strength design value of ultra-high performance concrete (UHPC). Specifically, group Ⅰ test carried out the flexural test of notched beams for 11 kinds of UHPC with commonly employed strength grades in engineering, tested the fracture toughness, and indirectly derived the brittleness coefficient of UHPC for each strength grade by adopting it as the opposite index of the brittleness coefficient. Group Ⅱ test studied the shape effect of compressive strength test via compression tests on 15 batches of UHPC prismatic and cubic specimens, and integrated the experimental data with relevant literature data at home and abroad to build a database. Meanwhile, numerical analysis was carried out to determine the compressive strength ratio of UHPC standard prismatic and standard cubic specimens. Experimental results show that under the same compressive strength grade, the UHPC toughness is significantly enhanced with the improving tensile performance grade. As the specimen size increases, the strength ratio between prismatic and cubic specimens (or shape effect) gradually intensifies, but the growth trend tends to be gentle. By employing the experimental data as the basis and comprehensively referring to the method for determining brittleness coefficients in current relevant standards, the recommended brittleness coefficient values applicable to UHPC of various grades were proposed. Numerical analysis shows that the compressive strength ratio of UHPC standard prismatic specimens to standard cubic specimens is 0.89. By referring to the method for determining the compressive strength design value of ordinary concrete, and combining the determined brittleness coefficient and shape effect coefficient, the recommended compressive strength design values for 11 commonly employed UHPC strength grades were put forward, thus providing experimental basis and coefficient support for the improvement of UHPC structural design codes.
- bridge engineering /
- ultra-high performance concrete /
- flexural test /
- brittleness coefficient /
- compressive strength design value /
- shape effect /
- compressive strength test

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图 1 三点抗折试验照片

Figure 1. Photo of three-point flexural test

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图 2 UHPC等效抗折强度计算

Figure 2. Calculation of UHPC equivalent flexural strength

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图 3 不同等级UHPC的韧性指标

Figure 3. Toughness index of UHPC at different grades

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图 4 各级UHPC的脆性系数

Figure 4. Brittleness coefficient of UHPC at each grade

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图 5 形状效应分析

Figure 5. Shape effect analysis

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图 6 P100/Cu100的修正值

Figure 6. Corrected values for P100/Cu100

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表 1 Ⅰ组试验的UHPC下料单

Table 1. Batch sheet of UHPC for group Ⅰ test kg

试验编号	集料				胶凝材料		减水剂	水	钢纤维
试验编号	[40，70) 目	[20，40) 目	[10，20) 目	400目	水泥	硅灰	减水剂	水	钢纤维
Ⅰ-1	3.67	10.73	13.87	2.36	26.46	7.90	0.54	2.54	1.08
Ⅰ-2	3.67	10.73	13.87	2.36	26.46	7.90	0.54	3.88	4.32
Ⅰ-3	3.67	10.73	13.87	2.36	26.46	7.90	0.54	3.88	6.48
Ⅰ-4	3.67	10.73	13.87	2.36	26.17	7.58	0.66	6.15	1.17
Ⅰ-5	3.67	10.73	13.87	2.36	26.17	7.58	0.66	6.15	2.34
Ⅰ-6	3.67	10.73	13.87	2.36	26.17	7.58	0.66	6.15	5.84
Ⅰ-7	3.67	10.73	13.87	2.36	26.17	7.58	0.66	4.76	1.17
Ⅰ-8	3.67	10.73	13.87	2.36	26.17	7.58	0.66	5.44	2.34
Ⅰ-9	3.67	10.73	13.87	2.36	26.17	7.58	0.66	6.13	4.67
Ⅰ-10	2.86	8.73	10.82	1.84	20.42	6.13	0.51	3.18	2.73
Ⅰ-11	2.86	8.73	10.82	1.84	20.42	6.13	0.51	3.18	3.64

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表 2 Ⅰ组试验结果

Table 2. Group Ⅰ test results

试验编号	UHPC强度等级	性能指标			韧性指标
试验编号	UHPC强度等级	抗压强度/MPa	峰值拉应变	单轴拉伸强度/MPa	f_{eq, 2}/MPa	f_{eq, 3}/MPa
Ⅰ-1	U120C	127.6	0.000 609 0	4.6	4.70	3.40
Ⅰ-2	U120B	120.1	0.001 573 5	6.1	6.67	5.80
Ⅰ-3	U120A	134.3	0.002 648 0	8.1	9.31	8.70
Ⅰ-4	U140C	141.8	0.000 584 0	4.4	7.10	5.34
Ⅰ-5	U140B	147.0	0.001 542 0	7.3	10.20	7.19
Ⅰ-6	U140A	150.5	0.002 577 0	8.5	12.22	9.60
Ⅰ-7	U160C	160.6	0.001 062 0	5.6	10.10	7.71
Ⅰ-8	U160B	162.7	0.001 592 0	7.5	13.00	9.20
Ⅰ-9	U160A	167.9	0.002 448 0	8.8	18.30	12.63
Ⅰ-10	U180B	180.5	0.001 661 0	8.6	15.10	10.40
Ⅰ-11	U180A	191.8	0.002 806 0	9.7	24.00	17.60

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表 3 各级UHPC的α₂

Table 3. α₂ of UHPC at each grade

UHPC强度等级	α₂	α_{2, 2}	α_{2, 3}	min{α_{2, 2}，α_{2, 3}}
U120A	1.000
U140A	1.000
U160A	1.000
U180A	1.000
U120B		0.850	0.860	0.850
U140B		0.840	0.810	0.810
U160B		0.750	0.730	0.730
U180B		0.700	0.690	0.690
U120C	0.740
U140C	0.675
U160C	0.610
U180C	0.545

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表 4 Ⅱ组试验的UHPC配合比

Table 4. Mix ratio of UHPC for group Ⅱ test

集料/kg				胶凝材料/kg		减水剂	钢纤维的体积分数/%
[40，70) 目	[20，40) 目	[10，20) 目	400目	水泥	硅灰	减水剂	钢纤维的体积分数/%
0.14	0.41	0.53	0.09	1.0	0.3	0.025	2

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表 5 Ⅱ组试验结果(抗压强度)

Table 5. Group Ⅱ test results (compressive strength) MPa

试验组编号	立方体试件			棱柱体试件
试验组编号	Cu70.7	Cu100	Cu150	P70.7	P100	P150
Ⅱ-1	190.2	192.3	179.3	173.8	162.7	163.1
Ⅱ-2	191.3	197.4	185.6	179.3	169.2	177.3
Ⅱ-3	196.0	200.4	186.0	183.4	174.4	143.1
Ⅱ-4	187.5	179.8	168.9	163.1	159.5	139.0
Ⅱ-5	184.0	181.9	169.9	164.3	160.7	141.0
Ⅱ-6	200.0	185.7	171.5	166.2	168.3	146.9
Ⅱ-7	186.6	173.6	168.2	159.2	157.5	159.5
Ⅱ-8	182.1	186.0	176.5	167.8	164.4	132.7
Ⅱ-9	184.4	198.5	173.1	177.6	172.4	165.1
Ⅱ-10	192.7	188.8	170.7	170.5	159.3	146.4
Ⅱ-11	195.6	190.7	175.3	174.3	161.4	149.1
Ⅱ-12	195.8	193.5	183.9	174.9	173.2	152.1
Ⅱ-13	155.2	153.7	114.5	140.2	129.6	120.2
Ⅱ-14	156.0	154.7	150.1	141.2	134.5	119.4
Ⅱ-15	186.9	161.1	160.8	146.7	142.2	132.3

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表 6 不同等级UHPC的抗压强度设计值

Table 6. Compressive strength design values of UHPC at different grades

UHPC强度等级	f_cd/MPa
U120A	64.0
U140A	75.0
U160A	85.0
U180A	96.0
U120B	54.8
U140B	61.8
U160B	64.0
U180B	67.2
U120C	47.0
U140C	50.0
U160C	52.0
U180C	53.0

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