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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 Christensen failure criterion ： ウィキペディア英語版 Christensen failure criterion The Christensen failure criterion is a material failure theory for isotropic materials that attempts to span the range from ductile to brittle materials. 〔 It has a two-property form calibrated by the uniaxial tensile and compressive strengths T $\backslash left\; (\backslash sigma\_T\backslash right\; )$ and C $\backslash left\; (\backslash sigma\_C\backslash right\; )$. The theory was developed by R. M. Christensen and first published in 1997.〔Christensen, R.M. (1997).''Yield Functions/Failure Criteria for Isotropic Materials'', Pro. Royal Soc. London, Vol. 453, No. 1962, pp. 1473–1491〕〔Christensen, R.M. (2007), ''A Comprehensive Theory of Yielding and Failure for Isotropic Materials'', J. Engr. Mater. and Technol., 129, 173–181〕 ==Description== The Christensen failure criterion is composed of two separate subcriteria representing competitive failure mechanisms. when expressed in principal stress components, it is given by : ;Polynomial invariants failure criterion For $0\backslash le\backslash frac\backslash le1$ ;Coordinated Fracture Criterion For $0\backslash le\; \backslash frac\backslash le\; \backslash frac$ The geometric form of () is that of a paraboloid in principal stress space. The fracture criterion () (applicable only over the partial range 0 ≤ T/C ≤ 1/2 ) cuts slices off the paraboloid, leaving three flattened elliptical surfaces on it. The fracture cutoff is vanishingly small at T/C=1/2 but it grows progressively larger as T/C diminishes. The organizing principle underlying the theory is that all isotropic materials admit a distinct classification system based upon their T/C ratio. The comprehensive failure criterion () and () reduces to the Mises criterion at the ductile limit, T/C = 1. At the brittle limit, T/C = 0, it reduces to a form that cannot sustain any tensile components of stress. Many cases of verification have been examined over the complete range of materials from extremely ductile to extremely brittle types.〔Christensen, R. M.,(2010),http://www.failurecriteria.com.〕 Also, examples of applications have been given. Related criteria distinguishing ductile from brittle failure behaviors have been derived and interpreted. Applications have been given by Ha〔S. K. Ha, K. K. Jin and Y. C. Huang,(2008), ''Micro-Mechanics of Failure (MMF) for Continuous Fiber Reinforced Composites.'' Journal of Composite Materials, vol. 42, no. 18, pp. 1873–1895.〕 to the failure of the isotropic, polymeric matrix phase in fiber composite materials. 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「Christensen 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.