Interaction of Point Defects with Twin Boundaries in Copper

The interaction between small vacancy clusters and twin boundaries in copper is studied by using many-body potential developed by Ackland et aL for fcc metals. The interaction energies of single-, di- and tri-vacancy clusters with （111） and （112） twin boundaries are computed using well established simulation techniques. For （111） twins the vacancy clusters are highly repelled when they are on the adjacent planes, and are attracted when they are away from the boundary. In the case of （112） twins, vacancy clusters are more attracted to the boundary when they are near the boundary as compared to away from it. Vacancy clusters on both the sides of the boundary are also investigated, and it is observed that the clusters energetically prefer to lie on the off-mirror sites as compared to the mirror position across the twin.     

SH15树脂吸附胞二磷胆碱的热力学及动力学研究

静态条件下,研究了SH15树脂吸附水溶液中胞二磷胆碱(CDPC)的热力学和动力学特性.测定了不同温度下,热力学性质的变化.实验结果表明,SH15树脂对CDPC吸附平衡数据符合Langmmuir吸附等温方程,吸附过程为自发的物理吸附过程.考察了温度、溶液浓度、树脂粒径和搅拌速率对吸附过程的影响.运用动边界模型(MBM)描述了SH15树脂吸附CDPC的动力学过程,确定在实验条件范围内,SH15树脂吸附CDPC的吸附速度受颗粒扩散控制,并计算出吸附过程的表观活化能为9.73kJ/mol,反应级数为0.47,速率常数为0.0744,并推导出CDPC:在SH15树脂上的动力学总方程.     

A BOUNDARY-ELEMENT METHOD FOR NONLINEAR SLAMMING

The nonlinear condition of water-surface is considered，and by virtue of the boundary element method，the slamming problem is treated as an impact／contact model，where the impactor and water are regarded as a coupling system．The gradually iterative method is used to make that water-surface satisfies the nonlinear condition untill it achives a steady value．For solving of the slamming force，the gradually iterative approach connected with the free water-surface is used to calculate the steady value．Two-dimensional rigid cylinder slamming problems are analysed numerically．The results show the reliability and effectiveness for solving the fluid-structure impact problems with serious nonlinearities．     

紧致带边黎曼流形上的Ricci形变

研究n维紧致带边流形的Ricci形变问题，得到在如下拼脐奈件下｜W｜^2＋｜V｜^2≤1/3（n-2）｜U｜^2,则（M，g）在Ricci流下可形变为（M，g∞），使得（M，g∞）具有常正曲率和全测地边界．     

基于弹性波散射对二维障碍物边界的识别

给出了二维障碍物弹性波散射场的一种近似积分形式 ,基于 Fourier变换法建立了均匀障碍物特征函数与其远场散射振幅中形状因子的关系式 ,最后就基体为锌 ,对圆形和椭圆形截面铁夹杂进行了计算机模拟 ,结果表明该反演方法对定量无损检测技术具有应用价值。     

Designability of Protein Structures on the Hexagonal Lattice Model

In view of the bonding angle and the number of neighbouring sites, the hexagonal lattice model is preferred to investigate the designability of protein structures. Here we simulate the designable structures by the simplified HP model in a two-dimensional hexagonal lattice with an unrestricted boundary. The result shows that the structures with a large number of core sites correspond to the high designability and have circular-like profiles. The maximum and average designabilities for the hexagonal lattice model are much higher than those for thesquare lattice mode, and the maximum and average designabilities for the square lattice model are much higher than those for the triangle lattice model.     

NUMERICAL LOCALIZATION OF ELECTROMAGNETIC IMPERFECTIONS FROM A PERTURBATION FORMULA IN THREE DIMENSIONS

This work deals with the numerical localization of small electromagnetic inhomogeneities. The underlying inverse problem considers, in a three-dimensional bounded domain, the time-harmonic Maxwell equations formulated in electric field. Typically, the domain contains a finite number of unknown inhomogeneities of small volume and the inverse problem attempts to localize these inhomogeneities from a finite number of boundary measurements. Our localization approach is based on a recent framework that uses an asymptotic expansion for the perturbations in the tangential boundary trace of the curl of the electric field. We present three numerical localization procedures resulting from the combination of this asymptotic expansion with each of the following inversion algorithms： the Current Projection method, the MUltiple Signal Classification （MUSIC） algorithm, and an Inverse Fourier method. We perform a numerical study of the asymptotic expansion and compare the numerical results obtained from the three localization procedures in different settings.     

具有违约观察期公司债券的定价

借助于美国破产保护法第十一章,违约公司获得-个额外的违约观察期过程,通过纳什均衡原理对股东和债权人的利益进行重新分配,利用巴黎型期权的定价思想来刻画具有这种违约观察期过程的股票与公司债券的定价模型,并从股东权益最大化,把股票的定价模型归结为-个自由边界问题,进而通过偏微分方程方法(PDE)推出股票与公司偾券价格的闭合表达式和最佳违约边界解的显式表达式;同时文章还对公司的最优杠杆,清算概率和信用利差进行讨论.     

三维重调和方程的双方程边界积分方程法

以守恒积分为工具,推导了三维重调和方程的新的边界积分方程,所得出的新方程与传统的边界积分方程相比较,降低了奇异性,避免了传统边界元方法中的强奇异积分的计算.对不同边界都采用第二类积分方程,得到了三维重调和方程的双方程方法.