A novel constitutive modelling approach measured under simulated freeze–thaw cycles for the rock failure

Zhang, Huimei; Che, Yong; Yang, Gang; Wu, Luyuan; Chen, Peng; Ye, Wanjun; Shen, Yanjun; Moayedi, Hossein

doi:10.1007/s00366-019-00856-4

Cited by 45 publications

(22 citation statements)

References 23 publications

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“…Liu et al [52] established an elastoplastic model for saturated freezing soils based on thermo-poromechanics. Zhang et al [53] used a new novel constitutive model to simulate the rock failure under freeze-thaw cycles. e present authors believe that the e-lgp compression curve can be analyzed from the flat linear phase of the elastic deformation to the local microstructure damage, and the curvature of the line segment suddenly increases in plastic deformation.…”

Section: Loess Structural Strength and Damage Variablesmentioning

confidence: 99%

Structural Strength Deterioration Characteristics and a Model of Undisturbed Loess under the Action of Wetting and Freeze-Thaw Cycles

She

et al. 2019

Mathematical Problems in Engineering

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Undisturbed loess is affected by external environmental disturbances, such as wetting and freeze-thaw cycles, which cause microstructural changes that have an important impact on the structural strength of the loess. These changes in turn affect the stability of structures such as embankments, slopes, and guards. This article takes the Q3 undisturbed loess in Lintong District, Xi’an, as an example. The effects of wetting and freeze-thaw cycles on the loess expansion ratio and pore structure were studied by wetting tests, freeze-thaw cycle tests, and scanning electron microscopy (SEM). The changes in the compression index and compression modulus were studied by a confined compression test. The loess e-lgp compression curve was obtained according to the confined compression test, and the newly defined concepts of the loess structural strength, residual structural strength, and structural strength damage variable, in addition to the e-lgp compression curve, were combined with the experimental data to calculate the damage value generated by the disturbance during the sampling and preparation of loess. The deterioration of the structural strength and damage variable of loess was analyzed. Based on the microscopic statistical damage theory and Weibull distribution, the model used the volume expansion ratio as a variable to establish a statistical damage model under wetting and freeze-thaw cycles. Finally, on the basis of the test, the model parameters were determined. The models were verified by taking loess from a foundation pit in the northern suburbs of Xi’an and were in good agreement with the results of the test. Ultimately, the models have good practicability and can provide guidance for engineering design and construction.

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Section: Loess Structural Strength and Damage Variablesmentioning

confidence: 99%

Structural Strength Deterioration Characteristics and a Model of Undisturbed Loess under the Action of Wetting and Freeze-Thaw Cycles

She

et al. 2019

Mathematical Problems in Engineering

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“…ese strata have a short sedimentation time, containing many macro-and mesoscale fissures, and are in a water-rich state [1,2]. e artificial freezing method has become the best plan for vertical shaft construction in water-rich soft rock strata [3,4]. e fractured rock mass is easily damaged in blasting and excavation by the action of stress waves [5,6].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Splitting Behavior and the Constitutive Relationship of Frozen Sandstone Containing a Single Fissure

Zhao

Yang

Wang

et al. 2021

Shock and Vibration

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Fractured sandstone is widely distributed in mining areas throughout western China where the artificial freezing method is extensively adopted to construct vertical shafts. Blasting and excavation generate stress waves and break frozen fractured sandstone. Among the failure modes of frozen fractured rocks, tensile failure is very common. In this study, the dynamic tensile strength of fractured sandstone samples with four crack inclination angles (0°, 30°, 60°, and 90°) is tested by using a split Hopkinson pressure bar at four subzero temperatures (−5, −10, −15, and −20°C). Accordingly, a damage constitutive relationship that considers the effect of fissure angle and freezing temperature is established. The results show the following: (1) the fissure angle does not significantly affect the dynamic tensile strength of frozen fractured sandstone but mainly affects the failure mode of the sample. (2) The dynamic tensile strength of fractured sandstone has a negative linear correlation with the freezing temperature. (3) When the fissure angle is small, only tensile cracking occurs; when the fissure angle is large, tensile cracking occurs along both the loading direction and the fissure; and shear cracking occurs along the fissure as well. (4) Regardless of the fissure angle, tensile cracking is initiated at the stress-concentration zone and then propagates towards the loading end. Fissure ice provides both resistance to deformation and resistance to crack propagation which affects the crack propagation and coalescence mode. A dynamic constitutive relationship is established by considering the effects of fissure angle and freezing temperature on the dynamic properties of frozen fractured sandstone, which is proven to be highly reliable and provides a reference and basis to study the dynamic mechanical properties of similar rock types.

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“…The quasilinear viscoelastic wave equation of the following form: describes a viscoelastic material, with u(x, t) giving the position of material particle x at time t, where D is a bounded domain in R d with a smooth boundary ∂D, ρ > 0, g is the relaxation function, f denotes the body force, and h is the damping term. The properties of the solution to (1.1) have been studied by many authors (see [1][2][3][4][5][6][7]). For instance, in [1], Cavalcanti et al considered (1.1) for h(u t ) = -γ u t and f (u) = 0, where 0 < ρ ≤ 2/(d -2) if d ≥ 3 or ρ > 0 if d = 1, 2.…”

Section: Introductionmentioning

confidence: 99%

A general stability result for second order stochastic quasilinear evolution equations with memory

et al. 2020

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The goal of this paper is to discuss an initial boundary value problem for the stochastic quasilinear viscoelastic evolution equation with memory driven by additive noise. We prove the existence of global solution and asymptotic stability of the solution using some properties of the convex functions. Moreover, our result is established without imposing restrictive assumptions on the behavior of the relaxation function at infinity.

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A novel constitutive modelling approach measured under simulated freeze–thaw cycles for the rock failure

Cited by 45 publications

References 23 publications

Structural Strength Deterioration Characteristics and a Model of Undisturbed Loess under the Action of Wetting and Freeze-Thaw Cycles

Structural Strength Deterioration Characteristics and a Model of Undisturbed Loess under the Action of Wetting and Freeze-Thaw Cycles

Dynamic Splitting Behavior and the Constitutive Relationship of Frozen Sandstone Containing a Single Fissure

A general stability result for second order stochastic quasilinear evolution equations with memory

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