Stress Distribution in an Infinite Elastic Body with a Locally Curved Fiber in a Geometrically Nonlinear Statement

Within the framework of a piecewise homogeneous body model, with the use of three-dimensional geometrically nonlinear exact equations of elasticity theory, a method for determining the stress—strain state in unidirectional fibrous composites with locally curved fibers is developed for the case where the interaction between the fibers is neglected. All the investigations are carried out for an infinite elastic body containing a single locally curved fiber. Numerical results illustrating the effect of geometrical nonlinearity on the distribution of the self-balanced normal and shear stresses acting on the interface and arising as a result of local curving of the fiber are presented.__________Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 41, No. 4, pp. 433–448, July–August, 2005.     

Structure and Structural Nonrigidity of Tetrachlorodibenzo-p-Dioxin Radical Cations

Ab initio calculations showed that the tetrachlorodibenzo-para-dioxin radical cations (TCDD RCs) with a planar structure have two steady states with asymmetric dioxin cycles. The activation barriers between these states are up to 2 kcal/mole, so that the RCs may be regarded as being structurally nonrigid within the dioxin cycle. The 2,3,7,8-TCDD RC is more stable than the 1,4,6,9-TCDD RC, the energy difference being 5.2 kcal/mole. The adiabatic ionization potential of 2,3,7,8-TCDD (7.54 eV) is 0.1 eV smaller than the corresponding potential of 1,4,6,9-TCDD. These factors account for the increased hemoproteide affinity and hence increased biological activity of 2,3,7,8-TCDD.     

对一道习题结论的思考与拓展

通过对一道习题的解答,借助图象,给结论一个直观易记的几何解释,并对这一结论进行了拓展。     

Asymptotic analysis of elastic curved rods

We consider a sequence of curved rods which consist of isotropic material and which are clamped on the lower base or on both bases. We study the asymptotic behaviour of the stress tensor and displacement under the assumptions of linearized elasticity when the cross‐sectional diameter of the rods tends to zero and the body force is given in the particular form. The analysis covers the case of a non‐smooth limit line of centroids. We show how the body force and the choice of the approximating curved rods can affect the strong convergence and the limit form of the stress tensor for the curved rods clamped on both bases. Copyright © 2006 John Wiley & Sons, Ltd.     

逆包络法及其应用

逆包络是指已知包络面(线)方程，而要求形成该包络的曲面族中一个曲面(线)的问题，本文集中介绍了求解逆包络问题的7种方法，并介绍他们各自的应用和当注意的问题．     

Effect of film thickness and supercooling on the performance of cholesteryl cinnamate liquid crystal capillary columns

Improved separations of the isomers of olefinic aliphatic insect pheromones were obtained on cholesteryl cinnamate glass capillary columns by operating in the supercooled temperature range of the liquid crystal. Capillary columns were prepared with varying film thickness of the stationary phase; choice of the correct film thickness ensured optimum retention for a wide range of compounds within the most effective temperature range of the liquid crystal. The deactivation procedures described made the liquid crystal columns suitable for separation of the geometric isomers of polar and nonpolar compounds.     

The strong coupling constant: Its theoretical derivation from a geometric approach to hadron structure

Since more than a decade, abi-scale, unified approach to strong and gravitational interactions has been proposed, that uses the geometrical methods of general relativity, and yielded results similar to strong gravity theory's. We fix our attention, in this note, on hadron structure, and show that also the strong interaction strength _S, ordinarily called the (perturbative) coupling-constant square, can be evaluated within our theory, and found to decrease (increase) as the distancer decreases (increases). This yields both the confinement of the hadron constituents (for large values ofr) and their asymptotic freedom (for small values ofr inside the hadron): in qualitative agreement with the experimental evidence. In other words, our approach leads us, on a purely theoretical ground, to a dependence of _S onr which had been previously found only on phenomenological and heuristic grounds. We expect the above agreement to be also quantitative, on the basis of a few checks performed in this paper, and of further work of ours on calculating meson mass spectra.     

[Co(3,3-tri)(men)Cl][ZnCl_4]和[Co(3,3-tri)(cmen)Cl][ZnCl_4]两体系配合物的合成及两经式异构体的晶体结构

分别合成了 [Co(3, 3-tri)(men)Cl][ZnCl4]、[Co(3, 3-tri)(cmen)Cl][ZnCl4] (3, 3-tri = N-(3-胺基丙基)-1, 3-丙二胺,men = N-甲基乙二胺,cmen = 1, 2-二胺基-丙烷) 2体系的部分配合物异构体,用单晶 X-射线衍射分析方法解析了2异构体的晶体结构。其中 [Co(3, 3-tri)(men)Cl][ZnCl4] 体系的一异构体Ⅰ的化学简式为 CoCl(C9H27N5)ZnCl4,晶体属正交晶系,空间群 Pca21,a = 16.788(2),b = 7.964(1),c = 14.416(2) 牛琕 =1927.3(4) ?,Dc = 1.747 g/cm3,Z = 4,F(000) = 1032,Mr = 506.91,R = 0.0352,wR =0.0935;[Co(3, 3-tri)(cmen)Cl]2+ 体系的一异构体Ⅱ的化学简式为 CoCl(C9H27N5)ZnCl4稨2O, 晶体属三斜晶系,空间群 P ,a = 9.511(3), b = 9.972(3),c = 11.694(3) 牛琣 = 68.367(5),b = 85.196(6),?= 86.580(5),V = 1026.9(5)?3,Dc = 1.698 g/cm3,Z = 2,F(000) = 536,Mr = 524.92,R = 0.0494,wR = 0.1180。两异构体中 Co3+ 为六配位,晶胞中对映体比例均为1:1。在配合物异构体Ⅰ和Ⅱ中,三元胺以经式排布,三元胺配体(3, 3-tri)仲胺上的氢相对于Cl分别处于顺位(syn-)和反位(anti-);二元胺配体氮(或邻位碳)取代的胺基氮原子(N*)与三元胺配体中的仲氮原子分别处于对位(trans(N*))和邻位(cis(N*))。     

Study of geometrical parameters in N-H...N type of hydrogen bonds

Geometrical parameters associated with N-H ... N types of hydrogen bonds have been analysed using crystal structure data on nucleic acids, amino acids and related compounds. Histograms depicting the frequency distribution of N-H ... N length (l) and H-N ... N angle (θ) have been drawn and conclusions on the favoured geometry of such bonds have been arrived at. The distribution ofl shows a pronounced maximum in the range between 2.9? and 3.0? with an overall average of 2.98 ?. The θ distribution shows a pronounced maximum for the hydrogen bond angle in the range 0°-10°, with a rapid fall-off in frequency for nonlinear hydrogen bonds. The frequency shows a cos⁶θ dependence as compared to cos²θ dependence term used earlier to predict the angular dependence of hydrogen bond potential energy in proteins and polypeptides.