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151.
CHEN Hongjia GAO Yun & SHANG Shikui Department of Mathematics University of Science Technology of China Hefei China Department of Mathematics Statistics York University Toronto Ontario Canada MJ P 《中国科学A辑(英文版)》2006,(11)
We use a fermionic extension of the bosonic module to obtain a class of B(0, A)graded Lie superalgebras with nontrivial central extensions. 相似文献
152.
基于平面应变理论,利用等几何有限元方法分析了弹性边界条件下面内功能梯度三角形板的面内振动特性.板的材料属性沿厚度方向呈均匀分布,而在面内方向呈任意指数梯度变化.采用非均匀有理B样条(NURBS)基函数对三角形结构进行等几何建模和位移描述,实现了三角形板几何设计和振动分析的无缝衔接.在三角形板边界上引入虚拟弹簧约束并通过调节虚拟弹簧刚度,实现任意边界条件的施加.通过不同的单元细化方案和对比算例,验证了等几何方法的灵活性、准确性和快速收敛性.系统研究了边界条件、材料属性和几何参数对三角形板振动特性的影响.同时给出了弹性边界条件下面内功能梯度三角形板的振动特性解,具有重要参考价值. 相似文献
153.
The effect of the parameters of heat treatment on the experimental 18% maraging steels was studied using hardness tester,
optical, scanning electron and transmission electron microscopy and X-ray metallography techniques. The specimens were solution
treated at 815, 900, 1000, 1060°C for periods between 1 and 4 h. After air-cooling to room temperature, a bcc martensitic
structure was obtained. The higher temperature (1060°C) and longer time (4 h) of the solution treatment caused essentially
homogeneous, massive martensitic structure. The aging of the steels was studied between 240 and 480°C from 1 to 41 h. As indicated
by the results, the hardness vs. aging time curves show a rapid rate of hardening at 480°C while the response at 240 to 320°C
is slower. The time required to reach peak hardness increases with decreasing temperature. The increase in hardness during
aging can be explained by the precipitation of hardening phases. So, it is necessary to use a high temperature solution treatment
to obtain a better alloy distribution and a tough martensitic structure, and an aging treatment at 480 °C between 4 and 10
h to achieve the desired properties.
This revised version was published online in July 2006 with corrections to the Cover Date. 相似文献
154.
设G为任意群,本文借助于环的矩阵表示给出了G-分次环与任意可迁G-集的smash积是素环或单环的刻画. 相似文献
155.
Summary A finite crack propagating at constant speed in a functionally graded piezoelectric strip (FGPS) bonded to a homogeneous piezoelectric strip is considered. It is assumed that the electroelastic material properties of the FGPS vary exponentially across the thickness of the strip, and that the bimaterial strip is under combined anti-plane mechanical shear and in-plane electrical loads. The analysis is conducted for the electrically unified crack boundary condition, which includes both the traditional permeable and the impermeable ones. By using the Fourier transform, the problem is reduced to the solution of Fredholm integral equations of the second kind. Numerical results for the stress intensity factor and the crack sliding displacement are presented to show the influences of the crack propagation speed, electric loads, FGPS gradation, crack length, electromechanical coupling coefficient, properties of the bonded homogeneous piezoelectric strip and crack location. 相似文献
156.
157.
B. A. Omirov 《Mathematical Notes》2005,77(5-6):677-685
The algebras of derivations of naturally graded Leibniz algebras are described. The existence of characteristically nilpotent Leibniz algebras in any dimension greater than 4 is proved.__________Translated from Matematicheskie Zametki, vol. 77, no. 5, 2005, pp. 733–742.Original Russian Text Copyright ©2005 by B. A. Omirov. 相似文献
158.
Ziv Ran 《Geometric And Functional Analysis》2008,18(1):184-221
A Lie atom is essentially a pair of Lie algebras and its deformation theory is that of a deformation with respect to the first
algebra, endowed with a trivialization with respect to the second. Such deformations occur commonly in algebraic geometry,
for instance as deformations of subvarieties of a fixed ambient variety. Here we study some basic notions related to Lie atoms,
focussing especially on their deformation theory, in particular the universal deformation. We introduce Jacobi–Bernoulli cohomology,
which yields the deformation ring, and show that, under suitable hypotheses, infinitesimal deformations are classified by
certain Kodaira–Spencer data.
Received: May 2006 Revision: January 2007 Accepted: March 2007 相似文献
159.
Two new parameters which take into account the effects of elastic anisotropy and phonon dispersion on lattice specific heat
in the case of sodium and potassium have been evaluated. A new graded mesh method which uses a 162-direction approximation
in (1/16) part of the Brillouin Zone (BZ) has been considered to evaluate the two parameters. 相似文献
160.
V.P. Nayyar 《Optical and Quantum Electronics》2002,34(7):697-705
Using statistical approach the author has solved the equations for the mutual coherence function of partially coherent Gaussian laser beams in graded-index fibres. The expressions for the complex degree of coherence and the intensity distribution have also been shown that the self-focusing length inside the fibre depends upon the degree of coherence. The result have been discussed for both conical and cylindrical guides. 相似文献