Numerical Manifold Simulations of Slope Failure
|Keywords:||破裂力學;摩爾庫侖準則;邊坡穩定;流形法;不連續變形分析法;Failure Mechanics;Mohr-Coulomb criteria;Slope Stability;Manifold Method;Discontinuous Deformation Analysis|
本論文致力於探討連續體過渡到不連續塊體的破裂行為，以石根華所提出的流形法Numerical Manifold Method為基本工具，採用工程界最常用的摩爾庫侖破壞準則來修改，可模擬塊體在不同的應力條件下裂縫的產生及延伸，進而探討現地自然邊坡漸進式破壞的破壞機制、作為破壞案例的數值模擬分析，預期能將此結果分析作為工程界設計與施工的參考。|
The analysis of slope stability has long been an intriguing issue for civil engineers. In an attempt to obtain a unique solution for an indeterminate slope stability problem, many methods have been proposed. These techniques include the method of slices, and more recently as the computer capability improves, numerical simulations such as the finite element, boundary element, and discontinuous deformation methods. The goal of these stability analyses is to search for a potential failure surface within a slope that has the minimum safety factor and the value of this safety factor itself. Natural materials such as soils and rocks are inherently discontinuous, the above techniques have limitations in simulating these discontinuities and the phenomenon of deformation and sliding of a mass that contains discontinuities. A technique of numerically simulating the breakage of a continuous material and transformation into a set of discontinuous blocks has been developed in this thesis. Using the Mohr-Coulomb failure criteria and the numerical manifold method developed by Genhua Shi, the development and propagation of fractures within a continuous material can be simulated. The thesis describes details of this numerical technique and its applications in slope stability analyses.
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