共轭聚合物中均匀无序对极化子输运动力学的影响

基于扩展的Su-Schrieffer-Heeger紧束缚模型和非绝热动力学方法, 研究了共轭聚合物材料中均匀无序效应对极化子输运动力学的影响. 研究发现: 极化子的动力学输运过程由外加电场和均匀无序效应共同决定; 在大部分电场范围下, 均匀无序效应对极化子输运的影响不太明显, 几乎可以忽略; 但在弱电场下, 均匀无序效应不利于极化子输运. 与高斯型无序效应下极化子的输运过程相比, 具有均匀无序的薄膜形貌更有利于极化子输运.     

基于简单透镜列阵的可调焦激光均匀辐照光学系统研究

本文对基于简单透镜列阵的大口径激光均匀辐照光学系统的调焦能力进行了研究, 结果表明, 改变透镜列阵与靶镜之间的距离即可方便地改变靶面上光斑的大小. 文中详细分析了相关参数对调焦能力的影响, 并在此基础上设计出一个实用的光学系统. 用数值方法模拟了激光束通过光学系统后的传输, 发现尺寸不同的靶面光斑具有基本一致的强度结构特征. 定量地分析了光斑内部散斑间隔、调制对比度、顶部不均匀度及能量集中度等描述光斑均匀辐照质量的指标, 并研究了它们随靶面离焦量的变化关系.     

A UNIFORMLY DIFFERENCE SCHEME OF SINGULAR PERTURBATION PROBLEM FOR A SEMILINEAR ORDINARY DIFFERENTIAL EQUATION WITH MIXED BOUNDARY VALUE CONDITION

ＡＵＮＩＦＯＲＭＬＹＤＩＦＦＥＲＥＮＣＥＳＣＨＥＭＥＯＦＳＩＮＧＵＬＡＲＰＥＲＴＵＲＢＡＴＩＯＮＰＲＯＢＬＥＭＦＯＲＡＳＥＭＩＬＩＮＥＡＲＯＲＤＩＮＡＲＹＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＷＩＴＨＭＩＸＥＤＢＯＵＮＤＡＲＹＶＡＬＵＥＣＯＮＤＩＴ...     

Turbulence Energy Distribution in the Stokes Layer

Using the method of matched asymptotic expansions, an analytical solution of the balance equation for turbulence energy is constructed for a shallow basin (sea) in which the fluid depth does not exceed the Stokes layer thickness. In this case, a gradient-viscous balance is established with the turbulent viscosity being balanced mainly by the pressure gradient. It is shown that nonlinear boundary layers attributable to turbulence energy diffusion are formed near the bottom and the free surface (or ice). In the neighborhood of the point of maximum flow velocity (if this maximum is attained inside the flow), a nonlinear internal boundary layer also develops. Outside these layers, the turbulence energy generation is in the first approximation balanced by the energy dissipation. Asymptotic solutions for the boundary layers are constructed.     

PLASTIC BUCKLING OF STIFFENED TORISPHERICAL SHELL

ＰＬＡＳＴＩＣＢＵＣＫＬＩＮＧＯＦＳＴＩＦＦＥＮＥＤＴＯＲＩＳＰＨＥＲＩＣＡＬＳＨＥＬＬＨａｏＧａｎｇ（郝刚）ＺｅｎｇＧｕａｎｇｗｕ（曾广武）ＨａｏＱｉａｎｇ（郝强）（ＲｅｃｅｉｖｅｄＤｅｃ．３０，１９９４．ＣｏｍｍｕｎｉｃａｔｅｄｂｙＰａｎＬｉｚｈ...     

单裂隙流-固耦合渗流的试验研究

通过对较大尺寸的单裂隙岩体试块进行不同侧面加载的渗流试验,在实验室里开展了单裂隙流 固耦合渗流研究,模拟核废料贮藏库的围岩自由面的最危险部位的渗流量 应力耦合状态。分析了裂隙岩体渗流与应力的耦合机理,获得了几种典型情况下的试验数据,并拟合出不同应力条件下单裂隙岩体渗流量与应力间数学经验公式。从而说明并非任一方向的应力增加都能使渗流量减小,而是裂隙岩体的渗流量随着双向压应力的增加而减少,随着平行于裂隙面方向的单向压应力的增加而增加。缝隙开度虽然随着法向应力的增加而逐渐减小,但最终不可能完全闭合,所以,此时流量不可能为零。同时,在试验过程中还通过闭环控制来实现被加载面的均匀受力,这为大尺寸岩体试验提供了一种很好的加载方法。     

The symmetry and loading-independency of multiple inclusions enclosing uniform stresses in an infinite elastic plane

The identification of multiple interacting inclusions with uniform internal stresses in an infinite elastic matrix subjected to a uniform remote loading is of fundamental importance in the mechanics and design of particulate composite materials. In anti-plane shear and plane deformations, certain sufficient conditions have been established in the literature which guarantee uniform internal stresses inside multiple interacting inclusions displaying various symmetries when the matrix is subjected to specific uniform remote loading. Correspondingly, sufficient conditions which allow for the design of multiple interacting inclusions independent of any specific form of (uniform) remote loading have also been established. In this paper, we demonstrate rigorously that, in all cases, these sufficient conditions are also necessary conditions and indeed allow for the identification of all possible collections of such inclusions.     

Ball numbers of platonic bodies

The ball number function is extended here to platonic bodies and corresponding generalized uniform distributions on platonic spheres are considered. A platonic disintegration formula of the Lebesgue measure is proved as well as a thin layers property.     

A class of finite difference schemes for interface problems with an HOC approach

In this paper, we propose a new methodology for numerically solving elliptic and parabolic equations with discontinuous coefficients and singular source terms. This new scheme is obtained by clubbing a recently developed higher‐order compact methodology with special interface treatment for the points just next to the points of discontinuity. The overall order of accuracy of the scheme is at least second. We first formulate the scheme for one‐dimensional (1D) problems, and then extend it directly to two‐dimensional (2D) problems in polar coordinates. In the process, we also perform convergence and related analysis for both the cases. Finally, we show a new direction of implementing the methodology to 2D problems in cartesian coordinates. We then conduct numerous numerical studies on a number of problems, both for 1D and 2D cases, including the flow past circular cylinder governed by the incompressible Navier–Stokes equations. We compare our results with existing numerical and experimental results. In all the cases, our formulation is found to produce better results on coarser grids. For the circular cylinder problem, the scheme used is seen to capture all the flow characteristics including the famous von Kármán vortex street. Copyright © 2016 John Wiley & Sons, Ltd.