Alkali-resistant glass fiber reinforced concrete (AR-GFRC) has greatly improved in terms of tensile strength, toughness, durability, and reduction of cracking, which has been proven by testing. However, the constitutive relationship of fiber reinforced concrete under complicated stress represents a complex theoretical problem. In order to investigate the microscopic damage evolution and failure mechanism of AR-GFRC, the meso-statistical damage theory, microcontinuum theory, and composite material theory were considered, and uniaxial tensile tests of two types of AR-GFRC were conducted. A new damage variable expression of the AR-GFRC was proposed, and the stress-strain curve was redefined by considering the residual strength based on experimental fitting parameters and statistical parameters. A Weibull distribution was assumed and a statistical damage constitutive model was developed of the deformation process of the AR-GFRC while considering the residual strength effect; detailed calculation methods to determine the mechanical and statistical parameters of the concrete were developed. The validation results show that the theoretical stress-strain curve of the constitutive model is in good agreement with the experimental curve and the trend is consistent.

中文翻译：

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耐碱玻璃纤维混凝土力学性能的统计损伤本构模型

耐碱玻璃纤维增​​强混凝土（AR-GFRC）在抗拉强度、韧性、耐久性、减少开裂等方面都有很大的提高，这已被试验证明。然而，纤维混凝土在复杂应力下的本构关系是一个复杂的理论问题。为了研究AR-GFRC的微观损伤演化和失效机制，综合考虑细观统计损伤理论、微观连续介质理论和复合材料理论，对两种AR-GFRC进行了单轴拉伸试验。提出了一种新的AR-GFRC损伤变量表达式，并基于实验拟合参数和统计参数考虑残余强度重新定义了应力-应变曲线。假设威布尔分布，并在考虑残余强度效应的同时，建立了 AR-GFRC 变形过程的统计损伤本构模型；开发了确定混凝土力学和统计参数的详细计算方法。验证结果表明，本构模型的理论应力-应变曲线与实验曲线吻合较好，趋势一致。