A Simplified Viscoelastic Solution of the Frost Heaving Force of Cavity Water behind Tunnel Linings

Guo, Jie-Tao; Zhang, Zheming; Y, Tang; Ji, Jian

doi:10.1155/2020/8857580

Cited by 6 publications

(4 citation statements)

References 14 publications

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“…e Bingham model is composed of elastic element and ideal viscoplastic body in series, which cannot reflect the nonlinear creep behavior characteristics of geotechnical materials [23]. In order to describe the nonlinear creep behavior of soil under cyclic loading, a modified Bingham constitutive model (see Figure 4) is proposed by replacing the constant elastic and viscous elements in the Bingham model with nonlinear elements.…”

Section: Elastic-viscoplastic Model Based On the Bingham Modelmentioning

confidence: 99%

Elastic‐Viscoplastic Constitutive Model of Soil under Cyclic Loading

You³

et al. 2021

Advances in Civil Engineering

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The creep problems are often involved in soil under cyclic loading, and its behaviors of soil under cyclic loading sparks many arguments in current research field. To propose one new model to demonstrate these creep behaviors of soil under cyclic loading, the cyclic loading was simplified equivalently, and the elastic-viscoplastic model (EVPM) for soil under cyclic loading was established based on the Bingham model. The yield criterion for soil under cyclic loading with constant amplitude was proposed following the simplified load. A constitutive equation based on the EVPM was constructed by using the flow criterion related to the yield criterion. Meanwhile, the parameters of EVPM were identified and discussed. In addition, the case analysis of the EVPM was also performed. The results indicate that the stable and destructive creep behaviors of soil under cyclic loading could be well described by the recommended EVPM, and the obtained parameters in the model exhibited a clear regularity with the increase of dynamic stress amplitude. Besides, the established model could be selected to predict the stable and destructive creep behavior of soil under cyclic loading.

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Section: Elastic-viscoplastic Model Based On the Bingham Modelmentioning

confidence: 99%

Elastic‐Viscoplastic Constitutive Model of Soil under Cyclic Loading

You³

et al. 2021

Advances in Civil Engineering

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“…Zone. e generalized Kelvin model is widely used in rock mass engineering because it can describe the elastic hysteresis of rock mass and reflect instantaneous deformation characteristics [33][34][35][36][37][38]. Considering the time effect of stress redistribution in the plastic zone during its formation, this paper analyzed the creep characteristics of rock by using the generalized Kelvin model [39,40].…”

Section: Creep Analysis In Elasticmentioning

confidence: 99%

“…e stress of composite lining support structure is calculated by equations ( 30)- (32) and checked by equations ( 33), (36), and (38). Finally, the stress characteristics under specific engineering geological conditions are determined, which provides a reference for the design of support structure and stability evaluation.…”

Section: Calculation Of Lining Ultimate Bearing Capacitymentioning

confidence: 99%

Stress‐Strain Calculation Method of Composite Lining considering the Creep Characteristics of Tunnel Surrounding Rock

Huang

2021

Advances in Civil Engineering

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Tunnels are generally designed for a sustained usage of 80 to 100 years, during which the safety of tunnel structures must be guaranteed. A common supporting form utilized in contemporary tunnel engineering is composite lining. To derive applicable parameters of the supporting form and therefore ensure the long-term safety of the tunnel structure, it is imperative to determine the extra acting force exerted onto the composite lining by the creep of the rock surrounding the tunnel and to calculate the stress-strain characteristics of composite lining. In the current study, this paper proposes an approach termed surrounding reinforcement, which is based on the homogenization method. Specifically, this paper defined the bolt force as the internal force of the surrounding rock, analyzed their viscoelastic-plastic properties using the unified strength theory, and derived an equation for calculating the stress-strain relationship of the composite lining. To further validate the method in tunnel structures, this paper applied the derived equation to a representative instance. The results of this paper show that the initial support force has also increased during the creep process of the surrounding rock, indicating that engineers should pay close attention to the coordination between the strength of initial support and the secondary lining and thus ensure an optimal distribution of the pressure from the surrounding rock when designing composite lining tunnel within weak strata. This paper proposes that the initial support not only would guarantee the tunnel safety during the construction stage but also could cooperate with the secondary lining to brace the stress caused by the creep, ensuring that the supporting structure stays stable across the whole period of tunnel operation. This paper provides an alternative to previous methods that is more comprehensive, with simpler calculations, and more applicable to the composite lining supporting design within weak strata.

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“…Considering the combined effect of the rock elastic modulus and the void ratio, Liu et al (2019) proposed a damage model for frost heaving pressure of tunnel linings. More relevant studies could be found in the works of Lv et al (2019), Yan et al (2019), Zhang et al (2019), Guo et al (2020), Huang et al (2020) and Zhao et al (2020).…”

Section: Introductionmentioning

confidence: 99%

Model and calculation method of frost heaving stress of stagnant water of tunnel in seasonally frozen area

Cui

Wang

et al. 2021

Geomatics, Natural Hazards and Risk

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The frost heave caused by the stagnant water may seriously threaten tunnels' operation safety and service life in seasonally frozen areas. This paper aims to put forward new insights for the accurate evaluation of the frost heaving stress and the prevention of frost damage in seasonally frozen-region tunnels. Firstly, based on the local frost theory and local deformation theory, a new calculation model of the frost heaving stress caused by stagnant water is established. In this model, the space of stagnant water is simplified as the three-axis semi-ellipsoid, which is more in line with the actual situation. Then, the rationality of the new calculation model was verified by comparing it with the results of numerical analysis and previous studies. Finally, the effects of the crucial parameters in the calculation model were also conducted by the univariate method. The results show that the theoretical model is in good agreement with the numerical simulation. The theoretical analysis exhibits the more conservative results, which may provide a practical approach for damage assessments and frost preventions in the case of a lack of observed in-site data. Besides, some significant suggestions about the construction and design of seasonally frozen-region tunnels are obtained.

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A Simplified Viscoelastic Solution of the Frost Heaving Force of Cavity Water behind Tunnel Linings

Cited by 6 publications

References 14 publications

Elastic‐Viscoplastic Constitutive Model of Soil under Cyclic Loading

Elastic‐Viscoplastic Constitutive Model of Soil under Cyclic Loading

Stress‐Strain Calculation Method of Composite Lining considering the Creep Characteristics of Tunnel Surrounding Rock

Model and calculation method of frost heaving stress of stagnant water of tunnel in seasonally frozen area

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