Three-dimensional elastic stress distribution around the flat end of a cylindrical cavity

Hocking, G.

doi:10.1016/0148-9062(76)91059-7

Cited by 35 publications

(7 citation statements)

References 8 publications

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“…3, the inner boundary contour with radius a is the free surface boundary subject to the uniform pressure and the outer boundary contour with radius b is the interface between the subregion R 1 and R 2 , where R 1 is the finite region between the free surface and the interface, and R 2 is the infinite region outside of the interface although the longitudinal length of those contours are L (not infinite). They compared the numerical results with the analytical solution [15] and fund that the numerical and analytical solutions are almost the same even in the case of L/(2b)=2. Please refer to Ref.…”

Section: Check Of the Inhomogeneous Modelling Codementioning

confidence: 94%

Stress field determination from local stress measurements by numerical modelling

Mizuta

Ishida

et al. 2009

International Journal of Rock Mechanics and Mining Sciences

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A back analysis using a three dimensional boundary element method can be used to calculate the far-field stress state from local stresses measured in situ. The far-field stresses are decomposed into tectonic and gravitational components and account for the influence of localized faulting and topography. Therefore, the far-field stresses are taken to consist of a constant term, a term that varies linearly with depth, and a hyperbolic term, with one of the principal stresses being vertical. A boundary element method for inhomogeneous bodies is introduced to calculate elastic gravitational stresses, which is necessary for determination of the far-field stresses. An application to the stress field determination for the Mizunami Underground Research Laboratory (MIU) is carried out. Based upon the local stresses generally measured by conventional hydraulic fracturing (HF), the unknown stress state at MIU is estimated and compared with the measurements carried out recently by the improved HF method with flow rate measurements at the position of straddle packer. After calculating the far-field stress state by BEM back analysis, 3D-FDM forward analysis was carried to calculate the in situ stresses at certain locations. The 3D-FDM results roughly coincide with the measured results.

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Section: Check Of the Inhomogeneous Modelling Codementioning

confidence: 94%

Stress field determination from local stress measurements by numerical modelling

Mizuta

Ishida

et al. 2009

International Journal of Rock Mechanics and Mining Sciences

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show abstract

“…If we were able to integrate equation (8) in closed form and solve for 4j( Y), then our solution would be exact; this is virtually impossible in practical problems except for a few simple cases, and a numerical method of solution has to be devised. To find a numerical solution, we may divide the boundary of the region into p elements.…”

Section: Discretization Of the Boundary And Parametric Representationmentioning

confidence: 99%

A quadratic variation indirect boundary element method for traction boundary‐value problems of two‐dimensional elastostatics

Lü

Watson

1988

Num Anal Meth Geomechanics

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SUMMARYBoundary integral equations for traction boundary-value problems of two-dimensional elastostatics are derived by the indirect boundary element method. Quadratic variation functions for the representation of geometry, fictitious forces and displacements over each boundary element are described. A system of equations approximating to the boundary integral equations is obtained by a Galerkin formulation in which the integral equation is written at Gauss integration points of elements. The method of computation of the Cauchy principal value is described. Examples of application to the analysis of stress and displacement around underground excavations demonstrate the accuracy and efficiency of the formulation.

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“…Oh, and Lee integrated ground subsidence hazard maps using various models such as a frequency ratio model, the weight of evidence, logistic regression and artificial neural network model for the same study area [2]. Numerous analyses employing numerical methods started during the mid-1970s and continued into the new century [5,6]. Predictions of accident probabilities are often associated with significant uncertainties.…”

Section: Introductionmentioning

confidence: 99%

Prediction of subsidence risk by FMEA using artificial neural network and fuzzy inference system

Rafie

Namin

2015

International Journal of Mining Science and Technology

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Three-dimensional elastic stress distribution around the flat end of a cylindrical cavity

Cited by 35 publications

References 8 publications

Stress field determination from local stress measurements by numerical modelling

Stress field determination from local stress measurements by numerical modelling

A quadratic variation indirect boundary element method for traction boundary‐value problems of two‐dimensional elastostatics

Prediction of subsidence risk by FMEA using artificial neural network and fuzzy inference system

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