Finite element implementation of strain-hardening Drucker–Prager plasticity model with application to tunnel excavation

Liu, K.; Chen, S.L.

doi:10.1016/j.undsp.2017.08.003

Cited by 19 publications

(9 citation statements)

References 13 publications

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“…For coal under general force conditions, the ultimate shear strength of any force surface can usually be expressed by the Mohr–Coulomb law − …”

Section: Methodsmentioning

confidence: 99%

“…Equations – consider the friction-type criterion of the friction component, which can summarize the Tresca condition, Von-Mises condition, generalized Von-Mises condition, and Drucker–Prager condition. , When φ = 0, it is the Tresca condition …”

Section: Methodsmentioning

confidence: 99%

“…The average stress can be obtained from the three principal stresses σ m , generalized shear stress τ q , and Cape lode θ σ . Therefore, the Mohr−Coulomb criterion can be expressed as 20,21 When φ = 0, it is the Tresca condition…”

mentioning

confidence: 99%

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Numerical Simulation of Integrated Mechanics of Drilling and Mechanical Cavitation in Coal Seam

Linghu

Yue

2022

ACS Omega

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For coal and gas outburst and difficult extraction in soft, low-permeability, and high-gas seam, the integration technology of drilling and mechanical cavitation is put forward to relieve pressure and improve permeability of coal seam. Through the test of mechanical parameters of the coal body, the physical model of drilling and cave-making in coal seam is established, and the mechanical characteristics of drilling and mechanical cavitation are simulated numerically. The results show that the peak strength of coal increases linearly with confining pressure. When the drill bit just touches the coal, the maximum stress occurs at the center of the coal sample. With the increase in the drilling depth of the drill bit, the maximum stress point shifts to the depth. When the coal at the center of the sample is broken, the position of the maximum stress shifts to the surrounding. With the increase of drilling depth, the maximum contact number between the drill bit and coal body increases sharply. When the bit body basically enters the coal body, the maximum contact number between the drill bit and coal body remains unchanged. When the drill pipe rotates, the reaming tool collides with the hole wall at the reaming position on the axis. In general, the contact area increases with the opening of the reaming tool, but the contact between the reaming tool and the hole wall is random. As time increases, the contact force begins to increase and then basically stabilizes; at this time the reaming tool has been fully opened.

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“…For coal under general force conditions, the ultimate shear strength of any force surface can usually be expressed by the Mohr–Coulomb law − …”

Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

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Numerical Simulation of Integrated Mechanics of Drilling and Mechanical Cavitation in Coal Seam

Linghu

Yue

2022

ACS Omega

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“…To explore this idea, we developed a model that extends the earthquake cycle to include the effects of strain-hardened plastic yielding (46,47), isostatic and flexural compensation (48)(49)(50)(51), and surface erosion (52)(53)(54). We used the Abaqus finite element modeling suite (55), a commercial engineering software package designed to simulate the mechanical behavior of materials under prescribed loads and model boundary conditions, to calculate long-term crustal thickening histories and current thickening rates induced by the SCM bend.…”

Section: Bridging Disparate Records Of Deformation Within the Scm Camentioning

confidence: 99%

Bridging earthquakes and mountain building in the Santa Cruz Mountains, CA

Baden¹,

Shuster²,

Aron³

et al. 2022

Sci. Adv.

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Relative crustal motions along active faults generate earthquakes, and repeated earthquake cycles build mountain ranges over millions of years. However, the long-term summation of elastic, earthquake-related deformation cannot produce the deformation recorded within the rock record. Here, we provide an explanation for this discrepancy by showing that increases in strain facilitated by plastic deformation of Earth’s crust during the earthquake cycle, in conjunction with isostatic deflection and erosion, transform relative fault motions that produce individual earthquakes to geologic deformations. We focus our study on the data-rich Santa Cruz Mountains, CA, USA and compare predicted and observed quantities for rock uplift, apatite (U-Th)/He thermochronology, topographic relief, 10 Be-based erosion rates, and interseismic surface velocities. This approach reconciles these disparate records of mountain-building processes, allowing us to explicitly bridge decadal measures of deformation with that produced by millions of years of plate motion.

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“…The adsorption experiments showed that when the mass ratio of Chitosan (CS) to rectorite (REC) was 10:1 and nanotubes (CNTs) content was 20%, the composite foam performed best in adsorbing low concentration methyl orange, and the largest adsorption capacity was 41.65 / . Liu, K, et al (2017) [16] presented a finite element implementation of a strain-hardening Drucker-Prager model. The model was constructed based on the return mapping scheme, in which an elastic trial step was first executed, followed by plastic correction involving the Newton-Raphson method to return the predicted state of stresses to the supposed yield surface.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation on the Stability of Surrounding Rock of Horizontal Rock Strata in the Tunnel

et al. 2018

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Horizontal rock strata is a geological condition of rock which is often encountered in the tunnel construction, and it has an important influence on the tunnel construction, it is necessary to analyze and study the stability of horizontal rock strata in tunnel construction to ensure the tunnel construction's safety and efficiency. By taking "Xishan Highway Tunnel" as the research object, and using the numerical simulation method, the numerical model of the tunnel has been established in the Midas/GTS to simulate the tunnel excavation under the horizontal rock strata condition，and the deformation and failure mechanism of surrounding rock and the influence factors of surrounding rock stability after are studied and analyzed. The research focused on the displacement of surrounding rock horizontal and vertical deformation, the results show that the vertical displacement of the surrounding rock is obviously greater than that of other parts during the excavation of the horizontal rock tunnel. According to the calculation results, the optimization measures of horizontal stratum tunnel construction method are put forward, which has important reference value for ensuring the construction safety and construction quality.

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Finite element implementation of strain-hardening Drucker–Prager plasticity model with application to tunnel excavation

Cited by 19 publications

References 13 publications

Numerical Simulation of Integrated Mechanics of Drilling and Mechanical Cavitation in Coal Seam

Numerical Simulation of Integrated Mechanics of Drilling and Mechanical Cavitation in Coal Seam

Bridging earthquakes and mountain building in the Santa Cruz Mountains, CA

Numerical Simulation on the Stability of Surrounding Rock of Horizontal Rock Strata in the Tunnel

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