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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Hoek–Brown failure criterion ： ウィキペディア英語版 Hoek–Brown failure criterion The Hoek–Brown failure criterion is an empirical stress surface that is used in rock mechanics to predict the failure of rock.〔〔 The original version of the Hoek–Brown criterion was developed by Evert Hoek and E. T. Brown in 1980 for the design of underground excavations.〔 In 1988, the criterion was extended for applicability to slope stability and surface excavation problems.〔 An update of the criterion was presented in 2002 that included improvements in the correlation between the model parameters and the geological strength index (GSI).〔 The basic idea of the Hoek–Brown criterion was to start with the properties intact rock and to add factors to reduce those properties because of the existence of joints in the rock.〔 Although a similar criterion for concrete had been developed in 1936, the significant tool that the Hoek–Brown criterion gave design engineers was a quantification of the relation between the stress state and Bieniawski's rock mass rating (RMR).〔 The Hoek–Brown failure criterion is used widely in mining engineering design. == The original Hoek–Brown criterion == The Hoek–Brown criterion has the form〔 :$$ \sigma_1 = \sigma_3 + \sqrt where $\backslash sigma\_1$ is the effective maximum principal stress, $\backslash sigma\_3$ is the effective minimum principal stress, and $A,B$ are materials constants. In terms of the mean normal stress ($\backslash sigma\_m$) and maximum shear stress ($\backslash tau\_m$) :$$ \tau_m = \tfrac\sqrt where :$$ \tau_m = \tfrac(\sigma_1-\sigma_3) ~;~~ \sigma_m = \tfrac(\sigma_1+\sigma_3) ~. We can convert the above relation into a form similar to the Mohr–Coulomb failure criterion by solving for $\backslash tau\_m$ to get :$$ \tau_m = \tfrac\left(\pm \sqrt\right ) The material constants $A,B$ are related to the unconfined compressive ($C\_0$) and tensile strengths ($T\_0$) by〔 :$$ A = \cfrac ~;~~ B = C_0 ~. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Hoek–Brown failure criterion」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.