isotropic section 中文意思是什麼
isotropic section
解釋
均質切面-
The main results and academic contributions of the dissertation can be summarized as following : 1 ) for the difficulty to obtain the accurate analytical solution of the stress constraints around 3d cracks, detailed 3d fe analyses have been conducted to study the out - of - plane constraint factor tz around a straight through - thickness crack, a quarter - elliptical corner crack and a semi - elliptical crack embedded in an isotropic elastic plate subjected to uniform remote tension loading. the distributions of tz are minutely studied in the forward section of the cracks. strong 3d zones ( tz > 0 ) along the crack front were investigated despite the far field stress - free boundary conditions
全文主要研究內容和學術貢獻如下: 1 .針對一般三維裂紋端部場應力約束準確解析的困難，對均勻拉伸載荷作用下各向同性彈性板中穿透厚度中心直裂紋、半橢圓表面裂紋和1 / 4橢圓角裂紋進行了大量詳細的全場應力三維有限元分析，首次全面分析了非穿透裂紋端部場三維影響區范圍，給出了不同形狀三維裂紋前沿離面應力約束因子tz的數值解，並結合k場平面解給出了非穿透裂紋端部應力場k - tz雙參數描述。 -
The content of the section two is about the dirac structure for lie algebroid. in this section the maximal isotropic subbundle, the characteristic pairs and the dual characteristic pairs are introduced. and some related conclusions are quoted directly
引入了極大迷向子叢，對偶特徵對和特徵對的概念，直接引用了已有的相關的結論，重要的是特徵對尤其是對偶特徵對在討論極大迷向子叢可積性方面起著關鍵作用，二者是不可分割的。 -
The dirac stracture for lie bialgebroid ( a, a * ) is a subbundle l c a + a *, which is maximally isotropic with respect to symmetric bilinear form (, ) +, whose section is closed under the bracket [, ]. the dual characteristic pairs of maximal isotropic subbundle is an important conception which is used to describe maximal isotropic subbundle
李雙代數胚上的dirac結構是指在對稱配對（ ， ） _ +下極大迷向，在[ ， ]下可積的子叢，對偶特徵對是描述極大迷向子叢的重要概念。 -
With the if and only if condition of the condition when a maximally isotropic subbundle is a dirac structure, we particularly discuss some lie bialgebroids and its dirac structures in the section three. moreover, we get the similar conclusions and theorems. from these, we know more properties of poisson - nijenhuis manifold
利用極大迷向子叢是dirac結構的充要條件，第三節詳細討論了poisson - nijenhuis流形上的幾種李雙代數胚及其上的dirac結構，並由此得到了一些poisson - nijenhuis流形上dirac結構的特殊性質。
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