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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 Simple shear ： ウィキペディア英語版 Simple shear In fluid mechanics, simple shear is a special case of deformation where only one component of velocity vectors has a non-zero value: $\backslash \; V\_x=f(x,y)$ $\backslash \; V\_y=V\_z=0$ And the gradient of velocity is constant and perpendicular to the velocity itself: $\backslash frac\; =\; \backslash dot\; \backslash gamma$, where $\backslash dot\; \backslash gamma$ is the shear rate and: $\backslash frac\; =\; \backslash frac\; =\; 0$ The deformation gradient tensor $\backslash Gamma$ for this deformation has only one non-zero term: Simple shear with the rate $\backslash dot\; \backslash gamma$ is the combination of pure shear strain with the rate of $\backslash dot\; \backslash gamma\; \backslash over\; 2$ and rotation with the rate of $\backslash dot\; \backslash gamma\; \backslash over\; 2$: $\backslash Gamma\; =$ \begin \underbrace \begin 0 & & 0 \\ 0 & 0 & 0 \\ 0 & 0 & 0 \end \\ \mbox\end = \begin \underbrace \begin 0 & & 0 \\ & 0 & 0 \\ 0 & 0 & 0 \end \\ \mbox \end + \begin \underbrace \begin 0 & & 0 \\ \\ \mbox \end Important examples of simple shear include laminar flow through long channels of constant cross-section (Poiseuille flow), and elastomeric bearing pads in base isolation systems to allow critical buildings to survive earthquakes undamaged. == Simple shear in solid mechanics == (詳細はisochoric plane deformation in which there are a set of line elements with a given reference orientation that do not change length and orientation during the deformation.〔Ogden, R. W., 1984, Non-linear elastic deformations, Dover.〕 This deformation is differentiated from a pure shear by virtue of the presence of a rigid rotation of the material.〔(【引用サイトリンク】title=Where do the Pure and Shear come from in the Pure Shear test? )〕〔(【引用サイトリンク】title=Comparing Simple Shear and Pure Shear )〕 If $\backslash mathbf\_1$ is the fixed reference orientation in which line elements do not deform during the deformation and $\backslash mathbf\_1-\backslash mathbf\_2$ is the plane of deformation, then the deformation gradient in simple shear can be expressed as :$$ \boldsymbol = \begin 1 & \gamma & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end. We can also write the deformation gradient as :$$ \boldsymbol = \boldsymbol_1\otimes\mathbf_2. 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「Simple shear」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.