Stochastic mechanics-based Bayesian method calibrating the constitutive parameters of the unified model for clay and sand with CPTU data

Fu, Yiming; Ma, Chengtao; Bian, Yuewei; Lv, Guiyang; Hu, Yu; Wang, Changhong

doi:10.1007/s11440-022-01524-6

Cited by 6 publications

(2 citation statements)

References 63 publications

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“…In geotechnical analysis and prediction, engineers usually consider data from multiple sources [38]. This study updates the intrinsic model parameters (posterior distribution) with information from laboratory experimental data, field test data, and engineering experience [39]. Considering the differences in soil area and experimental methods, according to Equations ( 7)-( 12), the effective overlying pressure σ v i is used together, and σ vi and σ v0 are converted by the correction coefficient β to complete the unification of the undrained shear strength equations of isotropic normal consolidation and isotropic overconsolidation, derived from the constitutive model.…”

Section: Bayesian Perspective Of Unified Undrained Shear Strength Equ...mentioning

confidence: 99%

CatBoost–Bayesian Hybrid Model Adaptively Coupled with Modified Theoretical Equations for Estimating the Undrained Shear Strength of Clay

Yang

Liu

et al. 2023

Applied Sciences

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The undrained shear strength of clay is an important index for the calculation of the bearing capacity of the foundation soil, the calculation of the soil pressure of the foundation pit, and the analysis of the slope stability. Therefore, the purpose of this paper is to conduct a comprehensive study of the combined use of machine learning with clay theoretical equations to estimate it. Under the Bayesian framework, the CatBoost algorithm (CatBoost–Bayesian) based on Bayesian optimization algorithm was developed to obtain the feature importance level of soil parameters affecting the undrained shear strength of clay, so as to adaptively couple the theoretical equation of undrained shear strength of K0 consolidated clay, which was derived from the modified Cambridge model. Then, the theoretical equation of undrained shear strength of the isotropically consolidated clay was established from the critical state of the clay parameters. Finally, it was illustrated and verified using the experimental samples of Finnish clay. The results indicate that the theoretical equation established by the overconsolidation ratio and effective overburden pressure parameters can well estimate the undrained shear strength of isotropically consolidated clays, and the parameter uncertainty can be considered explicitly and rigorously.

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Section: Bayesian Perspective Of Unified Undrained Shear Strength Equ...mentioning

confidence: 99%

CatBoost–Bayesian Hybrid Model Adaptively Coupled with Modified Theoretical Equations for Estimating the Undrained Shear Strength of Clay

Yang

Liu

et al. 2023

Applied Sciences

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“…The applicability in solving geotechnical engineering problems of the cavity expansion method has been widely verified by cone penetration test and pressuremeter test [3,14,22,27,37], pile driven process [17,32,33,36,46], analysis of pile foundation bearing capacity [6,15,23,35], and underground excavation [25,26,28,39,47]. During the development of cavity expansion theory in engineering, two critical challenges must be addressed: the choice of solution techniques and the selection of an appropriate constitutive model for soils.…”

Section: Introductionmentioning

confidence: 99%

Drained cavity expansion analysis with a unified hardening (UH) model for clays and sands

Li,

Chen

et al. 2024

Preprint

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This study presents a novel semi-analytical solution for the drained expansion of cylindrical and spherical cavities with a unified hardening model for both clays and sands (CSUH). The three-dimensional strength of soils is considered using the stress transformation method. Large-strain analyses are incorporated into the developed cavity expansion solution to obtain the entire stress-strain histories of soils in the plastic regions. By formulating the problem as an initial value problem in the Lagrangian scheme using an auxiliary independent variable, the present study solves the problem numerically. A thorough parameter analysis is conducted for both cylindrical-spherical and clay-sand scenarios, and the results are compared with other existing solutions to demonstrate the distinctive attributes of the present solution. It is found that the present solution can effectively capture the evolution processes of both strength and overconsolidation characteristics of soils, as well as the contracting and dilating behaviors of soils. Three key advantages of the present solution are its sufficient accuracy, less and easily determined parameters, and broad applicability in both clays and sands, resulting in extensive application in engineering, including tunneling, pile foundation construction, and cone penetration tests in clay-sand scenarios under drained conditions.

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Analytical analysis of cylindrical cavity expansion considering particle breakage effect of sand and its application for cone penetration tests

Wang,

Tang,

Wang

et al. 2023

Geological Journal

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The particle breakage effect in sand exerts a significant influence on the design of underground space structure. However, the existing theories seldom consider the breakage effect and often lack accurate descriptions of void ratio changes, leading to substantial errors in the numerical calculations compared to the actual scenario. This study employs the simple critical state sand model (SIMSAND) to account for the particle breakage effect and transforms the drained cylindrical cavity expansion problem into a set of first‐order ordinary differential equations described by the Lagrangian method. The analytical solution of the cylindrical cavity expansion problem is calculated using Matlab programming codes. Firstly, Fontainebleau sand is investigated to analyse the influence of initial stress, void ratio and specific volume around the cavity. The combined effects of initial stress and particle breakage on the soil around the cavities result in dilatancy characteristics and a reduction in void ratio. The stress path analysis reveals that the soil around the cavities only reaches a critical state under high initial stresses. Secondly, a plane strain numerical model is established for twice expansion to verify the calculation outcomes from the cylindrical cavity expansion theory. Finally, an axisymmetric cone penetration test (CPT) model is developed to analyse the theoretical and numerical solutions for expansion stress and sleeve friction. The research results indicate that the CPT in sand need to consider the particle breakage effect, especially under high stress conditions. Without considering particle breakage, the sleeve friction is overestimated. These research findings can offer guidance for geotechnical engineering applications, such as CPT, pressuremeter tests and predictions of bearing capacity for pile foundations in sand.

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Stochastic mechanics-based Bayesian method calibrating the constitutive parameters of the unified model for clay and sand with CPTU data

Cited by 6 publications

References 63 publications

CatBoost–Bayesian Hybrid Model Adaptively Coupled with Modified Theoretical Equations for Estimating the Undrained Shear Strength of Clay

CatBoost–Bayesian Hybrid Model Adaptively Coupled with Modified Theoretical Equations for Estimating the Undrained Shear Strength of Clay

Drained cavity expansion analysis with a unified hardening (UH) model for clays and sands

Analytical analysis of cylindrical cavity expansion considering particle breakage effect of sand and its application for cone penetration tests

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