翻訳と辞書 Words near each other ・ Gentianella sulphurea ・ Gentianella tenella ・ Gentianopsis ・ Gentianopsis crinita ・ Gentianopsis holopetala ・ Genstar Capital ・ Genstar Development Company ・ GenStat ・ Gensui ・ Gensui (Imperial Japanese Army) ・ Gensui (Imperial Japanese Navy) ・ Genséric Kusunga ・ Gensō Suikoden Card Stories ・ Gensō Suikogaiden ・ Gent ・ Gent (hyperelastic model) ・ Gent (magazine) ・ Gent Go-Go Rollergirls ・ Gent Hawks ・ Gent Jazz Festival ・ Gent RFC ・ Gent Strazimiri ・ Gent-Dampoort railway station ・ Gent-Sint-Pieters railway station ・ Genta ・ Genta (company) ・ Genta H. Holmes ・ Genta Ismajli ・ Genta Masuno ・ Genta Matsuo 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 Gent (hyperelastic model) ： ウィキペディア英語版 Gent (hyperelastic model) The Gent hyperelastic material model 〔 is a phenomenological model of rubber elasticity that is based on the concept of limiting chain extensibility. In this model, the strain energy density function is designed such that it has a singularity when the first invariant of the left Cauchy-Green deformation tensor reaches a limiting value $I\_m$. The strain energy density function for the Gent model is 〔Gent, A.N., 1996, '' A new constitutive relation for rubber'', Rubber Chemistry Tech., 69, pp. 59-61.〕 :$$ W = -\cfrac \ln\left(1 - \cfrac\right) where $\backslash mu$ is the shear modulus and $J\_m\; =\; I\_m\; -3$. In the limit where $I\_m\; \backslash rightarrow\; \backslash infty$, the Gent model reduces to the Neo-Hookean solid model. This can be seen by expressing the Gent model in the form :$$ W = \cfrac\ln\left(- (I_1-3)x\right ) ~;~~ x := \cfrac A Taylor series expansion of $\backslash ln\backslash left(-\; (I\_1-3)x\backslash right)$ around $x\; =\; 0$ and taking the limit as $x\backslash rightarrow\; 0$ leads to :$$ W = \cfrac (I_1-3) which is the expression for the strain energy density of a Neo-Hookean solid. Several compressible versions of the Gent model have been designed. One such model has the form〔Mac Donald, B. J., 2007, Practical stress analysis with finite elements, Glasnevin, Ireland.〕 :$$ W = -\cfrac \ln\left(1 - \cfrac\right) + \cfrac\left(\cfrac - \ln J\right)^4 where $J\; =\; \backslash det(\backslash boldsymbol)$, $\backslash kappa$ is the bulk modulus, and $\backslash boldsymbol$ is the deformation gradient. == Consistency condition == We may alternatively express the Gent model in the form :$$ W = C_0 \ln\left(1 - \cfrac\right) For the model to be consistent with linear elasticity, the following condition has to be satisfied: :$$ 2\cfrac(3) = \mu where $\backslash mu$ is the shear modulus of the material. Now, at $I\_1\; =\; 3\; (\backslash lambda\_i\; =\; \backslash lambda\_j\; =\; 1)$, :$$ \cfrac = -\cfrac Therefore, the consistency condition for the Gent model is :$$ -\cfrac = \mu\, \qquad \implies \qquad C_0 = -\cfrac The Gent model assumes that $J\_m\; \backslash gg\; 1$ 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「Gent (hyperelastic model)」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.