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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 hydrostatic stress ： ウィキペディア英語版 hydrostatic stress In continuum mechanics, a hydrostatic stress is an isotropic stress that is given by the weight of water above a certain point. It is often used interchangeably with "pressure" and is also known as confining stress, particularly in the field of geomechanics. Its magnitude $\backslash sigma\_h$ can be given by: :$\backslash sigma\_h\; =\; \backslash displaystyle\backslash sum\_^n\; \backslash rho\_i\; g\; h\_i$ where $i$ is an index denoting each distinct layer of material above the point of interest, $\backslash rho\_i$ is the density of each layer, $g$ is the gravitational acceleration (assumed constant here; this can be substituted with any acceleration that is important in defining weight), and $h\_i$ is the height (or thickness) of each given layer of material. For example, the magnitude of the hydrostatic stress felt at a point under ten meters of fresh water would be :$\backslash sigma\_\; =\; \backslash rho\_w\; g\; h\_w\; =1000\; \backslash ,\backslash text^3\; \backslash cdot\; 9.8\; \backslash ,\backslash text^2\; \backslash cdot\; 10\; \backslash ,\backslash text\; =9.8\; \backslash cdot\; =9.8\; \backslash cdot\; 10^4$ where the index $w$ indicates "water". Because the hydrostatic stress is isotropic, it acts equally in all directions. In tensor form, the hydrostatic stress is equal to :$\backslash sigma\_h\; \backslash cdot\; I\_3\; =$ \left(\begin \sigma_h & 0 & 0 \\ 0 & \sigma_h & 0 \\ 0 & 0 & \sigma_h \end \right ) where $I\_3$ is the 3-by-3 identity matrix. 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「hydrostatic stress」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.