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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 Stress measures ： ウィキペディア英語版 Stress measures The most commonly used measure of stress is the Cauchy stress tensor, often called simply ''the'' stress tensor or "true stress". However, several other measures of stress can be defined.〔J. Bonet and R. W. Wood, ''Nonlinear Continuum Mechanics for Finite Element Analysis'', Cambridge University Press.〕〔 R. W. Ogden, 1984, ''Non-linear Elastic Deformations'', Dover.〕〔 L. D. Landau, E. M. Lifshitz, ''Theory of Elasticity'', third edition〕 Some such stress measures that are widely used in continuum mechanics, particularly in the computational context, are: #The Kirchhoff stress ($\backslash boldsymbol$). #The Nominal stress ($\backslash boldsymbol$). #The first Piola-Kirchhoff stress ($\backslash boldsymbol$). This stress tensor is the transpose of the nominal stress ($\backslash boldsymbol\; =\; \backslash boldsymbol^T$). #The second Piola-Kirchhoff stress or PK2 stress ($\backslash boldsymbol$). #The Biot stress ($\backslash boldsymbol$) == Definitions of stress measures == Consider the situation shown the following figure. The following definitions use the notations shown in the figure. In the reference configuration $\backslash Omega\_0$, the outward normal to a surface element $d\backslash Gamma\_0$ is $\backslash mathbf\; \backslash equiv\; \backslash mathbf\_0$ and the traction acting on that surface is $\backslash mathbf\_0$ leading to a force vector $d\backslash mathbf\_0$. In the deformed configuration $\backslash Omega$, the surface element changes to $d\backslash Gamma$ with outward normal $\backslash mathbf$ and traction vector $\backslash mathbf$ leading to a force $d\backslash mathbf$. Note that this surface can either be a hypothetical cut inside the body or an actual surface. The quantity $\backslash boldsymbol$ is the deformation gradient tensor. 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「Stress measures」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.