翻訳と辞書 Words near each other ・ "O" Is for Outlaw ・ "O"-Jung.Ban.Hap. ・ "Ode-to-Napoleon" hexachord ・ "Oh Yeah!" Live ・ "Our Contemporary" regional art exhibition (Leningrad, 1975) ・ "P" Is for Peril ・ "Pimpernel" Smith ・ "Polish death camp" controversy ・ "Pro knigi" ("About books") ・ "Prosopa" Greek Television Awards ・ "Pussy Cats" Starring the Walkmen ・ "Q" Is for Quarry ・ "R" Is for Ricochet ・ "R" The King (2016 film) ・ "Rags" Ragland ・ ! (album) ・ ! (disambiguation) ・ !! ・ !!! ・ !!! (album) ・ !!Destroy-Oh-Boy!! ・ !Action Pact! ・ !Arriba! La Pachanga ・ !Hero ・ !Hero (album) ・ !Kung language ・ !Oka Tokat ・ !PAUS3 ・ !T.O.O.H.! ・ !Women Art Revolution 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 Ramberg-Osgood relationship ： ウィキペディア英語版 Ramberg–Osgood relationship The Ramberg–Osgood equation was created to describe the non linear relationship between stress and strain—that is, the stress–strain curve—in materials near their yield points. It is especially useful for metals that ''harden'' with plastic deformation (see strain hardening), showing a ''smooth'' elastic-plastic transition. In its original form, the equation for strain (deformation) is〔Ramberg, W., & Osgood, W. R. (1943). Description of stress–strain curves by three parameters. ''Technical Note No. 902'', National Advisory Committee For Aeronautics, Washington DC. ()〕 ::: $\backslash varepsilon\; =\; \backslash frac\; +\; K\; \backslash left(\backslash frac\; \backslash right)^n$ where : $\backslash varepsilon$ is strain, : $\backslash sigma$ is stress, : $E$ is Young's modulus, and : $K$ and $n$ are constants that depend on the material being considered. The first term on the right side, $/\backslash ,$, is equal to the elastic part of the strain, while the second term, $\backslash \; K(/)^n$, accounts for the plastic part, the parameters $K$ and $n$ describing the ''hardening behavior'' of the material. Introducing the ''yield strength'' of the material, $\backslash sigma\_0$, and defining a new parameter, $\backslash alpha$, related to $K$ as $\backslash alpha\; =\; K\; (/)^\backslash ,$, it is convenient to rewrite the term on the extreme right side as follows: ::: $\backslash \; K\; \backslash left(\backslash frac\; \backslash right)^n\; =\; \backslash alpha\; \backslash frac\; \backslash left(\backslash frac\; \backslash right)^$ Replacing in the first expression, the Ramberg–Osgood equation can be written as ::: $\backslash varepsilon\; =\; \backslash frac\; +\; \backslash alpha\; \backslash frac\; \backslash left(\backslash frac\; \backslash right)^$ ==Hardening behavior and yield offset== In the last form of the Ramberg–Osgood model, the ''hardening behavior'' of the material depends on the material constants $\backslash alpha\backslash ,$ and $n\backslash ,$. Due to the power-law relationship between stress and plastic strain, the Ramberg–Osgood model implies that plastic strain is present even for very low levels of stress. Nevertheless, for low applied stresses and for the commonly used values of the material constants $\backslash alpha$ and $n$, the plastic strain remains negligible compared to the elastic strain. On the other hand, for stress levels higher than $\backslash sigma\_0$, plastic strain becomes progressively larger than elastic strain. The value $\backslash alpha\; \backslash frac$ can be seen as a ''yield offset'', as shown in figure 1. This comes from the fact that $\backslash varepsilon\; =\; (1+\backslash alpha)\backslash ,$, when $\backslash sigma\; =\; \backslash sigma\_0\backslash ,$. Accordingly (see Figure 1): : ''elastic strain at yield'' = $\backslash ,$ : ''plastic strain at yield'' = $\backslash alpha(/E)\backslash ,$ = ''yield offset'' Commonly used values for $n\backslash ,$ are ~5 or greater, although more precise values are usually obtained by fitting of tensile (or compressive) experimental data. Values for $\backslash alpha\backslash ,$ can also be found by means of fitting to experimental data, although for some materials, it can be fixed in order to have the ''yield offset'' equal to the accepted value of strain of 0.2%, which means: ::: $(\backslash alpha+1)\; \backslash frac\; =\; 0.002$ 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「Ramberg–Osgood relationship」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.