A statistical model of size effect on concrete tensile and compressive strength
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摘要: 为研究混凝土抗拉和抗压强度与试件尺寸的关系，利用Lei提出的广义最弱链公式，假设混凝土内部缺陷分布形式服从均匀分布或泊松分布，建立相应分布形式下的混凝土强度尺寸效应统计模型，实现了在给定失效概率情况下通过小尺寸混凝土试件强度对全尺寸构件强度的预测。3个案例中混凝土强度数据分析表明：在缺陷服从均匀分布假设下，尺寸效应统计模型能够很好地反映普通混凝土和RPC抗拉强度与尺寸的关系；RPC混凝土内部缺陷分布更接近于均匀分布，尺寸效应统计方法能描述抗压强度与尺寸的关系。Abstract: In order to study the relationship between the tensile and compressive strength of the concrete commonly used in engineering and the size of specimen, a statistical model of the size effect on concrete strength was established based on the generalized weakest chain formula proposed by Lei recently, assuming that the distribution of the internal defects in concrete follows the uniform distribution or the Poisson distribution. It realizes the prediction of the strength of small-scale concrete specimens to the strength of full-scale members under the condition of a given failure probability. The analysis of concrete strength data from the three published cases shows that: Under the assumption of uniform distribution of defects, the statistical method of size effect can well reflect the relationship between the tensile strength and size of ordinary concrete and RPC.The internal defect distribution of RPC concrete is closer to a uniform distribution, and the relationship between its compressive strength and size can also be described by the statistical method of size effect.
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Key words:
- concrete /
- tensile strength /
- compressive strength /
- statistical method /
- size effect
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表 1 试件尺寸及试件劈裂强度
Table 1. Specimen size and tensile splitting strength results obtained
试件直径D/mm (厚径比为0.5∶1) 76 101 152 劈裂强度/MPa 4.13 3.62 3.13 4.80 4.67 2.61 5.15 4.70 4.27 5.24 4.56 3.35 3.54 3.24 
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表 3 RPC试样尺寸
Table 3. Size of RPC specimens
试件尺寸h/mm 50 100 150 受拉区体积/mm3 62 500 500 000 1 687 500
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