Nonlinear Creep Damage Constitutive Model of Concrete Based on Fractional Calculus Theory

Zhang, Cong; Zhu, Zhende; Zhu, Shu; He, Zhaoyi; Zhu, Duan Yin; Liu, Jinzhong; Meng, Songsong

doi:10.3390/ma12091505

Cited by 40 publications

(22 citation statements)

References 32 publications

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“…The others are statistical parameters, such as the two Weibull distribution parameters m and x 0 , which need to be determined based on the concrete tension and compression test curves. At present, the methods to determine the statistical parameters include linear fitting [28], the peak point method [29,30], the inversion analysis method [31], and non-linear regression [32,33]. In this section, the Weibull parameters are calculated and determined by the numerical feature method.…”

Section: Development Of the Statistical Damage Constitutive Model mentioning

confidence: 99%

A Statistical Damage Constitutive Model Based on the Weibull Distribution for Alkali-Resistant Glass Fiber Reinforced Concrete

et al. 2019

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The addition of alkali-resistant glass fiber to concrete effectively suppresses the damage evolution such as microcrack initiation, expansion, and nucleation and inhibits the development and penetration of microcracks, which is very important for the long-term stability and safety of concrete structures. We conducted indoor flat tensile tests to determine the occurrence and development of cracks in alkali-resistant glass fiber reinforced concrete (AR-GFRC). The composite material theory and Krajcinovic vector damage theory were used to correct the quantitative expressions of the fiber discontinuity and the elastic modulus of the concrete. The Weibull distribution function was used and an equation describing the damage evolution of the AR-GFRC was derived. The constitutive equation was validated using numerical parameter calculations based on the elastic modulus, the fiber content, and a performance test of polypropylene fiber. The results showed that the tensile strength and peak strength of the specimen were highest at a concrete fiber content of 1%. The changes in the macroscopic stress–strain curve of the AR-GFRC were determined and characterized by the model. The results of this study provide theoretical support and reference data to ensure safety and reliability for practical concrete engineering.

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Section: Development Of the Statistical Damage Constitutive Model mentioning

confidence: 99%

A Statistical Damage Constitutive Model Based on the Weibull Distribution for Alkali-Resistant Glass Fiber Reinforced Concrete

et al. 2019

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“…where E is the elastic modulus of alkali resistant fiberglass concrete, which was deduced and verified in previous research by Zhang Cong et al [32,33], and will not be repeated here.…”

Section: The Constitutive Equation Of the Elastic Section Of Uniaxialmentioning

confidence: 52%

“…An HJW-60 concrete mixer, HZJ concrete shaking table, HBY-40A concrete standard curing box, and YJ-22 electric measuring instrument were used in the tensile test. Three test specimens were selected for each group, and the test results were accurate to 0.1 MPa [32,33]. The test scheme is shown in Figure 1.…”

Section: Preparation and Test Scheme For Concrete Samplesmentioning

confidence: 99%

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

2020

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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.

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“…To describe the constitutive model, three premises need to be initially confirmed [28,29]: Anisotropy of the CJRM is predominantly controlled by structural planes. CJRM can be treated as an elastic, homogeneous and anisotropic object.…”

Section: Establishment Of Seepage Model For Stress-dependent Fracturementioning

confidence: 99%

Constitutive Model of Stress-Dependent Seepage in Columnar Jointed Rock Mass

2020

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Columnar jointed rock mass (CJRM) is a highly symmetrical natural fractured structure. As the rock mass of the dam foundation of the Baihetan Hydropower Station, the study of its permeability anisotropy is of great significance to engineering safety. Based on the theory of composite mechanics and Goodman’s joint superposition principle, the constitutive model of joints of CJRM is derived according to the Quadrangular prism, the Pentagonal prism and the Hexagonal prism model; combined with Singh’s research results on intermittent joint stress concentration, considering column deflection angles, the joint constitutive model of CJRM in three-dimensional space is established. For the CJRM in the Baihetan dam site area, the Quadrangular prism, the Pentagonal prism and the Hexagonal prism constitutive models were used to calculate the permeability coefficients of CJRM under different deflection angles. The permeability anisotropy characteristics of the three models were compared and verified by numerical simulation results. The results show that the calculation results of the Pentagonal prism model are in good agreement with the numerical simulation results. The variation of permeability coefficient under different confining pressures is compared, and the relationship between permeability coefficient and confining pressure is obtained, which accords with the negative exponential function and conforms to the general rule of joint seepage.

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Nonlinear Creep Damage Constitutive Model of Concrete Based on Fractional Calculus Theory

Cited by 40 publications

References 32 publications

A Statistical Damage Constitutive Model Based on the Weibull Distribution for Alkali-Resistant Glass Fiber Reinforced Concrete

A Statistical Damage Constitutive Model Based on the Weibull Distribution for Alkali-Resistant Glass Fiber Reinforced Concrete

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

Constitutive Model of Stress-Dependent Seepage in Columnar Jointed Rock Mass

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