Analysis of dynamic spherical cavity expansion in undrained modified Cam Clay soil

Zhou, Hang; Liu, Hanlong; Li, Yingzhen

doi:10.1002/nag.2909

Cited by 6 publications

(5 citation statements)

References 40 publications

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“…It is worth mentioning that the study still has the following aspects to be improved: For example, (1) the effect of stress anisotropy of geomaterial is not considered 9,27 ; (2) the effect of other cavity shape is not considered; (3) assuming that there is no temperature change and the contraction process is a quasi‐static cavity contraction problem, the effect of soil temperature change, and dynamic expansion and contraction is not considered 10,31 ; (4) the effect of permeability coefficient of residual surrounding rock is not considered.…”

Section: Limitationsmentioning

confidence: 99%

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Large‐strain analysis for cylindrical cavity contraction in strain‐softening geomaterials

Wang

Sheng

2022

Num Anal Meth Geomechanics

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This study presents a large‐strain analysis for cylindrical cavity unloading–contraction problem in strain‐softening geomaterials. Based on the unified strength theory (UST) and non‐associated flow rule, the process of cavity contraction in cohesive‐frictional geomaterials is regarded as a large‐strain problem by introducing the UST parameters and the volumetric force of seepage into the conventional cylindrical cavity contraction analysis, the effects of strain‐softening characteristic, intermediate principal stress, large‐strain, and seepage are considered. Finally, according to the comparison of the results of the radius ratio with those in the published literature, the correctness and reliability of the theoretical method are proved. The results show that it is necessary to consider the effect of volume force of seepage in the stability of excavation problem in geomaterial, the larger the volume force of seepage, the smaller the plastic radius. The traditional two‐dimensional cavity contraction solution overestimates the plastic radius. The results provide a theoretical basis for the elasto‐plastic analysis of excavation in rich water geomaterial and have a certain reference value for engineering design.

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Section: Limitationsmentioning

confidence: 99%

“…Here, the elastic strains are assumed to be constant and equal to the elastic strains at EP boundary. 28 Combining Equations ( 32) and (31), the tangential plastic strain in the softening region can be obtained as,…”

Section: 5mentioning

confidence: 99%

Large‐strain analysis for cylindrical cavity contraction in strain‐softening geomaterials

Wang

Sheng

2022

Num Anal Meth Geomechanics

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“…These researchers yielded the effective stress solutions for circular tunnel excavation in radial, tangential and vertical directions by Lagrange’s algorithm. Zhou [ 10 ] et al considered the effect arising from the expansion speed on the expansion force and solved the dynamic expansion problem using the modified Cambridge model based on the ODE45 function in Matlab. Liu [ 11 ] et al assumed the soil as a Mohr-Coulomb material and modelled the pile sinking process as a ball-cavity expansion process in semi-infinite soils.…”

Section: Introductionmentioning

confidence: 99%

Modelling and analysis of penetration resistance of probes in cultivated soils

et al. 2023

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At present, the measurement of tillage depth is mainly based on manual measurement, but the manual raking method results in low measurement accuracy and high labor intensity. Due to the complexity of soil, theoretical research on tillage depth is relatively scarce. In order to provide a new research direction and research idea for soil stratification, topsoil was taken as the research object of this paper. The correlation between penetration resistance and penetration depth of a probe in a cultivated soil was studied, and a mathematical model was established. There is a certain similarity between the process of spherical cavity expansion and the process of probe penetration, so we introduced the theory of spherical cavity expansion into the modeling of penetration resistance of the cultivated soil. In this paper, the spherical cavity expansion theory of unsaturated soil was used as the basis for solving the penetration resistance. And the unified strength criterion was employed as a yield condition of the soil to set a stress solution and a displacement solutionin into of the probe penetrating into the elasto-plastic zone of the cultivated soil to determine the model of expansion force. We have carried out indoor tests to revise the expansion force model. Firstly, according to the range of soil density and water content in the field, the soil densities were classified into 1.1×103kg/m3, 1.2×103kg/m3 and 1.3×103kg/m3, and the water contents were divided into 10%, 15% and 20%. In addition, the orthogonal tests were performed at different levels. The soil was put into the barrel, and the probe was inserted into the soil in the barrel at the speed of 8mm/s to determine the test values of the change of the probe penetration resistance with depth. Finally, the expansion force model was fitted with the results of the indoor test, and coefficient B was introduced to express the influence degree of density and water content on the resistance. Coefficient B was substituted into the expansion force model to obtain the penetration resistance model of the cultivated soil. Through the goodness of fit analysis of the penetration resistance model, the results show that the overall average goodness of fit of the penetration resistance modelat was up to 0.871 at different water contents and densities, which was a good fit and could present novel insights into the study relating to soil stratification theory.

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“…Collins and his co‐workers 20 proposed the similarity method, providing a standard and convenient process to solve cavity expansion problems with advanced constitutive models. This method is widely used by many other researchers, 3,21–27 thus advancing cavity expansion solutions with more realistic modelling. In recent years, more solution techniques for cavity expansion solution are proposed.…”

Section: Introductionmentioning

confidence: 99%

Spherical cavity expansion in porous rock considering plasticity and damage

Huang¹,

Liang²,

et al. 2021

Num Anal Meth Geomechanics

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In rock engineering, damage evolution upon loading imposes significant impacts on the stiffness of rock mass and its deformation characteristics. In order to investigate the influence of both damage and plasticity on cavity expansion, a plastic damage solution is derived for undrained spherical cavity expansion in rock medium. For the consideration of plasticity‐damage, Modified Cam‐Clay (MCC) model is selected as the plasticity driver, a damage evolution criterion is adopted and coupled with MCC. The coupled damage MCC model is validated against experimental data in the literature. The proposed cavity expansion solution with the consideration of plasticity damage is verified through a classic solution in literature. The role of damage in undrained spherical cavity expansion is investigated by studying the spatial variations of effective stress, pore pressure and damage for cases with different stress ratios. Distribution of cavity expansion induced plastic and damage zones for cases with different stress ratios are also reproduced and discussed. Cavity expansion results show that, the damage zone should be considered for engineering application as the plastic zone is affected due to the damage evolution. In addition, the stability (e.g., radial stress) of rock mass is overestimated in classical solution without the consideration of damage zone.

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Analysis of dynamic spherical cavity expansion in undrained modified Cam Clay soil

Cited by 6 publications

References 40 publications

Large‐strain analysis for cylindrical cavity contraction in strain‐softening geomaterials

Large‐strain analysis for cylindrical cavity contraction in strain‐softening geomaterials

Modelling and analysis of penetration resistance of probes in cultivated soils

Spherical cavity expansion in porous rock considering plasticity and damage

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