翻訳と辞書 Words near each other ・ Tsar Bomba ・ Tsar Boris (drama) ・ Tsar Cannon ・ Tsar Fyodor Ioannovich ・ Tsar Kaloyan ・ Tsar Kaloyan Municipality ・ Tsar Kaloyan, Razgrad Province ・ Tsar Kandavl or Le Roi Candaule ・ Tsar Lazar Guard ・ Tsar Maximilian ・ Tsar Nicholas ・ Tsar Osvoboditel Boulevard ・ Tsar Pea ・ TSAR Publications ・ Tsar Samuil Stadium ・ Tsai–Wu failure criterion ・ Tsakalidis ・ Tsakaling Gewog ・ Tsakalonisi ・ Tsakalotos ・ Tsakana Nkandih ・ Tsakane ・ Tsakane Mbewe ・ Tsakane Valentine Maswanganyi ・ Tsakani Mhinga ・ Tsakhats Kar Monastery ・ Tsakhiagiin Elbegdorj ・ Tsakhir ・ Tsakhkashen ・ Tsakhur 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 Tsai–Wu failure criterion ： ウィキペディア英語版 Tsai–Wu failure criterion The Tsai–Wu failure criterion is a phenomenological material failure theory which is widely used for anisotropic composite materials which have different strengths in tension and compression.〔 This failure criterion is a specialization of the general quadratic failure criterion proposed by Gol'denblat and Kopnov〔 and can be expressed in the form :$$ F_i~\sigma_i + F_~\sigma_i~\sigma_j \le 1 where $i,j=1\backslash dots\; 6$ and repeated indices indicate summation, and $F\_i,\; F\_$ are experimentally determined material strength parameters. The stresses $\backslash sigma\_i$ are expressed in Voigt notation. If the failure surface is to be closed and convex, the interaction terms $F\_$ must satisfy :$$ F_F_ - F_^2 \ge 0 which implies that all the $F\_$ terms must be positive. == Tsai–Wu failure criterion for orthotropic materials == For orthotropic materials with three planes of symmetry oriented with the coordinate directions, if we assume that $F\_\; =\; F\_$ and that there is no coupling between the normal and shear stress terms (and between the shear terms), the general form of the Tsai–Wu failure criterion reduces to :$$ \begin F_1\sigma_1 + & F_2\sigma_2 + F_3\sigma_3 + F_4\sigma_4 + F_5\sigma_5 + F_6\sigma_6\\ & + F_\sigma_1^2 + F_\sigma_2^2 + F_\sigma_3^2 + F_\sigma_4^2 + F_\sigma_^2 + F_\sigma_6^2 \\ & \qquad + 2F_\sigma_1\sigma_2 + 2F_\sigma_1\sigma_3 + 2F_\sigma_2\sigma_3 \le 1 \end Let the failure strength in uniaxial tension and compression in the three directions of anisotropy be $\backslash sigma\_,\backslash sigma\_,\backslash sigma\_,\backslash sigma\_,\backslash sigma\_,\backslash sigma\_$. Also, let us assume that the shear strengths in the three planes of symmetry are $\backslash tau\_,\backslash tau\_,\backslash tau\_$ (and have the same magnitude on a plane even if the signs are different). Then the coefficients of the orthotropic Tsai–Wu failure criterion are :$$ \begin F_1 = & \cfrac = & \cfrac} ~;~~ F_ = \cfrac} ~;~~ F_ = \cfrac} ~;~~ F_ = \cfrac ~;~~ F_ = \cfrac ~;~~ F_ = \cfrac \\ \end The coefficients $F\_,F\_,F\_$ can be determined using equibiaxial tests. If the failure strengths in equibiaxial tension are $\backslash sigma\_1=\backslash sigma\_2=\backslash sigma\_,\; \backslash sigma\_1=\backslash sigma\_3=\backslash sigma\_,\; \backslash sigma\_2=\backslash sigma\_3=\backslash sigma\_$ then :$$ \begin F_ &= \cfrac\left()\\ F_ &= \cfrac\left() \\ F_ &= \cfrac\left() \end The near impossibility of performing these equibiaxial tests has led to there being a severe lack of experimental data on the parameters $F\_,\; F\_,\; F\_$. It can be shown that the Tsai-Wu criterion is a particular case of the generalized Hill yield criterion.〔 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「Tsai–Wu failure criterion」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.