翻訳と辞書 Words near each other ・ Hoshneh ・ Hosho ・ Hosho (instrument) ・ Hoshu Sheedi ・ Hoshyar Zebari ・ Hoshū jugyō kō ・ Hosianna (album) ・ Hosianna Mantra ・ Hosianna, Davids son ・ Hosic report ・ Hosiden ・ Hosidia ・ Hosfeld ・ Hosfelt Gallery ・ Hosford ・ Hosford yield criterion ・ Hosford, Florida ・ Hosford-Abernethy, Portland, Oregon ・ HOSFU ・ Hosgri Fault ・ Hosh ・ Hosh al-Nufour ・ Hosh Arab ・ Hosh Bajed ・ Hosh Bannaga ・ Hosh Essa ・ Hosh Gureli ・ Hoshaiah ・ Hoshaiah Rabbah ・ Hoshana Rabbah Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Hosford yield criterion ： ウィキペディア英語版 Hosford yield criterion The Hosford yield criterion is a function that is used to determine whether a material has undergone plastic yielding under the action of stress. == Hosford yield criterion for isotropic plasticity == The Hosford yield criterion for isotropic materials 〔Hosford, W. F. (1972). ''A generalized isotropic yield criterion'', Journal of Applied Mechanics, v. 39, n. 2, pp. 607-609.〕 is a generalization of the von Mises yield criterion. It has the form :$$ \tfrac|\sigma_2-\sigma_3|^n + \tfrac|\sigma_3-\sigma_1|^n + \tfrac|\sigma_1-\sigma_2|^n = \sigma_y^n \, where $\backslash sigma\_i$, i=1,2,3 are the principal stresses, $n$ is a material-dependent exponent and $\backslash sigma\_y$ is the yield stress in uniaxial tension/compression. Alternatively, the yield criterion may be written as :$$ \sigma_y = \left(\tfrac|\sigma_2-\sigma_3|^n + \tfrac|\sigma_3-\sigma_1|^n + \tfrac|\sigma_1-\sigma_2|^n\right)^ \,. This expression has the form of an ''L''''p'' norm which is defined as :$\backslash \; \backslash |x\backslash |\_p=\backslash left(|x\_1|^p+|x\_2|^p+\backslash cdots+|x\_n|^p\backslash right)^\; \backslash ,.$ When $p\; =\; \backslash infty$, the we get the ''L''∞ norm, :$\backslash \; \backslash |x\backslash |\_\backslash infty=\backslash max\; \backslash left\backslash$. Comparing this with the Hosford criterion indicates that if ''n'' = ∞, we have :$$ (\sigma_y)_ = \max \left(|\sigma_2-\sigma_3|, |\sigma_3-\sigma_1|,|\sigma_1-\sigma_2|\right) \,. This is identical to the Tresca yield criterion. Therefore, when ''n = 1'' or ''n'' goes to infinity the Hosford criterion reduces to the Tresca yield criterion. When ''n = 2'' the Hosford criterion reduces to the von Mises yield criterion. Note that the exponent ''n'' does not need to be an integer. 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「Hosford yield 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.