Theoretical solutions for a circular opening in an elastic–brittle–plastic rock mass incorporating the out-of-plane stress and seepage force

According to the strain-softening characteristics of rock mass, an ideal elastic strain-softening model is developed, and the surrounding rock of tunnels is subdivided into the plastic broken zone, plastic strain-softening zone, and elastic zone. Based on the generalized spatially mobilized plane criterion, an elastic-plastic analytical solution of a circular tunnel is derived. The effects of intermediate principal stress, strain softening, and dilatancy are considered in the unified solution. The stress, displacement, and plastic zone radius of surrounding rock based on the SMP criterion are compared with those based on the Mohr–Coulomb criterion. Furthermore, the effects of parameters such as the softening modulus, dilatancy angle, and internal friction angle on the deformation and stress of tunnels are discussed. It has been found that the larger the dilatancy angle is, the larger the plastic zone displacement and the radius of the broken zone are. The larger the internal friction angle, the smaller the sizes of the plastic zone, the strain-softening zone, and the broken zone are. The deformation of surrounding rock in the broken zone is more sensitive to the internal friction angle than that in the strain-softening zone. The unified solution based on the SMP criterion provides a well understanding for the elastic-plastic state of tunnels, which can be the guidance for tunnel excavations and support designs.

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“…Based on the linear nonassociative flow rule, the relationship of plastic strain increment can be expressed as [29] Δε…”

Section: Dilatancy Modelmentioning

confidence: 99%

A New Unified Solution for Circular Tunnels Based on Generalized SMP Criterion considering the Strain Softening and Dilatancy

Guo

Pan

et al. 2019

Advances in Civil Engineering

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“…e total height of the embankment is 8 m, and the slope is 1 : 1.5. e width of the embankment is 25 m, and the width of the upper road is 13 m. e foundation is equal to the height of the slope, which is 10 m, and the slope to the right is about 1 time the width of the embankment, which is 25 m. Table 1 shows the parameters of the embankment modeling according to the actual data provided by the project. For the gravel base, the MohrCoulomb criterion [32][33][34] is used to describe the stress and strain relation, the cohesion is 0.8 MPa, and the friction angle is 24°.…”

Section: Modelingmentioning

confidence: 99%

Effect of Thickness of Gravel Base and Asphalt Pavement on Road Deformation

Yang

2018

Advances in Civil Engineering

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is study uses a test section of a highway, a study object, to explore the effect of thickness of the gravel base and asphalt layer on the vertical deformation of the road surface. e thickness of the asphalt layer and graded gravel base is changed. e nonlinear description equation of the relationship between the thickness (h1) of the asphalt layer and the vertical deformation (d1) is established: d1 � a 4 (1 b h1 4 ). e thickness of the asphalt pavement is then determined to reduce vertical deformation. Numerical calculation shows that the maximum vertical deformation of the foundation is within 8 mm, which is less than the 15 mm maximum vertical deformation of the embankment. is level meets the design requirements.

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“…Limestone is a kind of extremely common rock in Guizhou mountainous area; the study on its dynamic mechanical properties not only improves dynamic research of the rock but also has significant value for practical engineering, such as blasting construction, road construction, and other engineering works in limestone mountainous area [17][18][19][20][21][22]. The dynamic mechanical properties of limestone are investigated under different impact loads in this paper, using the rubber with diameter of 5 mm and thickness of 2 mm as a waveform shaper SHPB system and 5 different types of impact pressure on the limestone in axial direction.…”

Section: Introductionmentioning

confidence: 99%

Study on Dynamic Mechanical Properties of Limestone under Uniaxial Impact Compressive Loads

Zou

Fang

Xia

2016

Mathematical Problems in Engineering

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The dynamic mechanical properties of limestone are studied with 5 types of impact pressure acting on limestone samples in axial direction in this paper. The rubber shaper with a diameter of 5 mm and thickness of 2 mm is adopted. Besides the conical punch of split pressure bar of Hopkinson with a diameter of 50 mm is also used. The half-sinusoid pulse is obtained by using the pulse shaper method and special punch method; the constant strain rate deformation of the sample is realized. Dynamic compressive properties and failure modes of limestone under different impact pressure are investigated. In addition, energy dissipation is studied in the process of experiment. The results show that the dynamic compressive strength of limestone has an exponent relation to strain rate. The failure strain, degree of fragmentation, incident energy, and absorption energy increase, while the energy absorbency decreases with the increasing of strain rate. However, the initial elastic modulus is not sensitive to the strain rate. The research method and conclusions have reference value for the dynamic mechanical properties of other brittle materials.

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Theoretical solutions for a circular opening in an elastic–brittle–plastic rock mass incorporating the out-of-plane stress and seepage force

Cited by 39 publications

References 19 publications

A New Unified Solution for Circular Tunnels Based on Generalized SMP Criterion considering the Strain Softening and Dilatancy

A New Unified Solution for Circular Tunnels Based on Generalized SMP Criterion considering the Strain Softening and Dilatancy

Effect of Thickness of Gravel Base and Asphalt Pavement on Road Deformation

Study on Dynamic Mechanical Properties of Limestone under Uniaxial Impact Compressive Loads

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