The Statistical Damage Constitutive Model of the Mechanical Properties of Alkali-Resistant Glass Fiber Reinforced Concrete

Abstract

<jats:p>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.</jats:p>

Mechanical Characteristics and Damage Constitutive Model of Fiber-Reinforced Cement-Stabilized Soft Clay

“…Critical elements such as the dosages of the gelling agent, material components, and admixtures all contribute substantially to its curing effectiveness [13][14][15]. Recent research endeavors have honed in on augmenting the strength of stabilized soil by incorporating various types and quantities of natural and artificial fibers [16,17]. With advancements in solid waste recycling, experiments have been undertaken to enhance the applicability of glass waste [18].…”

Experimental Design for the Lifetime Performance Index of Weibull Products Based on the Progressive Type I Interval Censored Sample

“…where λ is the scale parameter and δ is the shape parameter. The application of Weibull distribution refers to Durán et al [16], Shi et al [17] and Almarashi et al [18]. After the transformation of Y = U δ , we obtain a new lifetime variable Y from an exponential distribution with the scale parameter 1/k = λ δ .…”