scholarly journals Bayesian inference of rock strength anisotropy: Uncertainty analysis of the Hoek–Brown failure criterion

2021 ◽  
Vol 148 ◽  
pp. 104952
Author(s):  
Guilherme J.C. Gomes ◽  
John H. Forero ◽  
Eurípedes A. Vargas ◽  
Jasper A. Vrugt
Keyword(s):  
Bayesian Inference ◽  
Uncertainty Analysis ◽  
Failure Criterion ◽  
Rock Strength ◽  
Strength Anisotropy

scholarly journals An Approach for Stability Analysis of Gas/Fluid-Filled Cylindrical Hole in Laminated Materials

2020 ◽  
Vol 2020 ◽  
pp. 1-15
Author(s):  
Song Leng ◽  
Li Hou ◽  
Yang Duan
Keyword(s):  
Failure Criterion ◽  
Shear Failure ◽  
Cylindrical Hole ◽  
Material Strength ◽  
Strength Anisotropy ◽  
Plane Failure ◽  
Hole Wall ◽  
Weak Plane ◽  
Laminated Materials ◽  
Laminated Structures

An explicit analytical workflow for cylindrical hole stability analyses in general laminated materials that possess transversely isotropic (TI) anisotropy is presented. In this approach, the calculation of the distribution of the stresses around a cylindrical hole and the failure evaluation at the hole wall consider the effects of both material elasticity anisotropy and strength anisotropy caused by material laminated structures. Material strength anisotropy is assumed to be caused by the sliding of preexisting weakness planes oriented parallel to the isotropic plane of the material. The effect of anisotropy on strength is modeled by combining a shear failure criterion for the intact matrix and a weak plane failure criterion for the planes of weakness. We derive critical pressure solutions for the stability of the intact matrix around a hole filled with gas or fluid based on the Mohr–Coulomb failure criterion and Drucker–Prager failure criterion; either one of them can be combined with the weak plane failure criterion to give the solution for hole wall shear failure pressure. The solution for hole wall fracture initiation pressure is derived based on the tensile failure criterion. This approach can be applied to holes of arbitrary orientation in general laminated materials.

scholarly journals Three-Dimensional Numerical Analysis of the Tunnel for Polyaxial State of Stress

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Wenge Qiu ◽  
Chao Kong ◽  
Kai Liu
Keyword(s):  
Numerical Simulation ◽  
Mechanical Behavior ◽  
Principal Stress ◽  
Failure Criterion ◽  
Rock Strength ◽  
Strength Criterion ◽  
Intermediate Principal Stress ◽  
State Of Stress ◽  
Coulomb Failure ◽  
Coulomb Failure Criterion

The aim of this study is to have a comprehensive understanding of the mechanical behavior of rock masses around excavation under different value of intermediate principal stress. Numerical simulation was performed to investigate the influence of intermediate principal stress using a new polyaxial strength criterion which takes polyaxial state of stress into account. In order to equivalently substitute polyaxial failure criterion with Mohr-Coulomb failure criterion, a mathematical relationship was established between these two failure criteria. The influence of intermediate principal stress had been analyzed when Mohr-Coulomb strength criterion and polyaxial strength criterion were applied in the numerical simulation, respectively. Results indicate that intermediate principal stress has great influence on the mechanical behavior of rock masses; rock strength enhanced by intermediate principal stress is significant based on polyaxial strength criterion; the results of numerical simulation under Mohr-Coulomb failure criterion show that it does not exert a significant influence on rock strength. Results also indicate that when intermediate principal stress is relatively small, polyaxial strength criterion is not applicable.

scholarly journals A Bayesian graph convolutional network for reliable prediction of molecular properties with uncertainty quantification

2019 ◽  
Vol 10 (36) ◽  
pp. 8438-8446 ◽  
Author(s):  
Seongok Ryu ◽  
Yongchan Kwon ◽  
Woo Youn Kim
Keyword(s):  
Neural Networks ◽  
Bayesian Inference ◽  
Uncertainty Analysis ◽  
Uncertainty Quantification ◽  
Deep Neural Networks ◽  
Molecular Properties ◽  
Reliable Prediction ◽  
Convolutional Network ◽  
Chemical Fields

Deep neural networks have been increasingly used in various chemical fields. Here, we show that Bayesian inference enables more reliable prediction with quantitative uncertainty analysis.

scholarly journals GEOLOGICAL CONTROLS ON INTACT ROCK STRENGTH. THE EFFECT OF ANISOTROPY

2004 ◽  
Vol 36 (4) ◽  
pp. 1826
Author(s):  
χ. Σαρόγλου ◽  
Π. Μαρίνος ◽  
Γ. Τσιαμπάος
Keyword(s):  
Mechanical Properties ◽  
Rock Strength ◽  
Dynamic Properties ◽  
Intact Rock ◽  
Metamorphic Rocks ◽  
Deformation Characteristics ◽  
Strength Anisotropy ◽  
Ongoing Research ◽  
Strength And Deformation ◽  
Anisotropic Rocks

The factors that influence the strength and deformation of the intact rock are the mineral composition, the fabric, the grain size and the degree of alteration and weathering. Anisotropy is a characteristic of intact foliated metamorphic rocks (slates, gneisses, phyllites, schists). The current paper deals with the pronounced effect of the fabric of anisotropic rocks on the strength and deformation characteristics of intact rocks. It is part of ongoing research in the Department of Geotechnical Engineering, National Technical University of Athens. Testing was used to establish the anisotropic behaviour of selected metamorphic rocks. The effect of anisotropy on various mechanical properties (strength, deformation) and dynamic properties (wave velocity) was examined. The degree of strength anisotropy of these rocks can be indirectly estimated, by wave propagation through the rock, and thus they can be classified by means of geological and geotechnical indexes.

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