On a class of method for solving problems with random boundary notches and/or cracks

As we know,problems with boundary imperfections(notches or cracks)are the more importantone in practical fracture analysis.Frequently,these imperfections would appear in the boundaries ofthe bodies as a randomly distributed group,and under the loading circumstances would grow up to beunstable cracks which induces catastrophic fracture of the bodies.For right evaluation the fracturebehavior of the bodies with such boundary imperfections,it demands mathematical solutions for pro-blems with random boundary notches and/or cracks.     

On crack propagation in a coupled thermomechanical system of nonlinear media

In some engineering problems.thermo-mechanical coupling is im-portant and may not be ignored.This paper deals With the crackpropagation problem in a coupled thermo-mechanical system of non-linear media.Various nonlinear media.including nonlinear e-lastic and elastic-plastic cases,have been considered and therelated path-independent integrals are given.To explain thephysical meaning of these integrals,a notched specimen hasbeen considered.and the dynamical crack extension force in acoupled thermo-mechanical system is shown to be equal to thisintegral.Thus.we could consider such integrals as some non-linear criteria for coupled thermo-mechanical fracture dynamics.     

Phase Propagations in a Coupled Oscillator-Excitor System of FitzHugh-Nagumo Models

A one-dimensional array of 2N ＋ 1 automata with FitzHugh-Nagumo dynamics, in which one is set to be oscillatory and the others are excitable, is investigated with hi-directional interactions. We find that 1 ： 1 rhythm propagation in the array depends on the appropriate couple strength and the excitability of the system. On the two sides of the 1 ： 1 rhythm area in parameter space, two different kinds of dynamical behaviour of the pacemaker, i.e. phase-locking phenomena and canard-like phenomena, are shown. The latter is found in company with chaotic pattern and period doubling bifurcation. When the coupling strength is larger than a critical value, the whole system ends to a steady state.     

Stochastic Simulation of Turing Patterns

We investigate the effects of intrinsic noise on Turing pattern formation near the onset of bifurcation from the homogeneous state to Turing pattern in the reaction-diffusion Brusselator. By performing stochastic simulations of the master equation and using Gillespie＇s algorithm, we check the spatiotemporal behaviour influenced by internal noises. We demonstrate that the patterns of occurrence frequency for the reaction and diffusion pro- cesses are also spatially ordered and temporally stable. Turing patterns are found to be robust against intrinsic fluctuations. Sfochastic simulations also reveal that under the influence of intrinsic noises, the onset of Turing instability is advanced in comparison to that predicted deterministically.     

线圈炮弹丸受力的两种表示及等价性

从物理学基本原理出发,以线圈炮的简单模型为例,导出了计算弹丸所受磁场力的两种表示.证明了它们的等价性,并把结论推广到一般线圈炮的情形.     

O,O-二甲基二硫代磷酸旋转异构体的红外光谱研究

我们曾经相继报导了(RO)_2P(S)SH类型化合物的R=Et,i-P_r两种化合物的旋转异构现象的红外及拉曼光谱的研究结果,本文将继续报导同系物R=Me的FT-IR研究结果。标题化合物按文献方法制备及提纯处理。样品的常温及低温光谱是在Nicofet5DX型FT-IR光谱仪上记录的,使用液氮作低温冷却剂。在不同温度下记录的P=S伸展振动带用计算机程序进行分峰处理,结果表明,P=S谱带仍由4个不同频率组成,这四个频率依次为671,661,655和649cm~(-1),它们对应于四个构象不同的旋转异构体。我们得到的结果是,第一,在室温到-80℃范围内,这四个异构体的P=S谱带的相对面积(S%)与温度之间的关系表明,异构体(1)与(2),(3)与(4)之间分别存在着对应相互转化关系,即异构体(1)的含量减少时,(2)便相应增加,反之亦然。(3)与(4)之间也有类似的现象。第二,O~-—R~-基的局部偶极场对P=S键的作用是一种引力场,因此构象(1)对应于四个频率中最高的671cm~(-1)带,构象(4)则对应于最低的频率649cm~(-1)。第三,由于存在S—H……S=P内氢键,因此S—H基的空间取向一旦形成,便不易改变,只有—OR基可绕O—P键旋转,所以存在异构体(1)与(2),(3)与(4)之间的相互转化关系。     

隐含风险中性分布在巨灾超额损失再保险定价中的应用

通过与标的风险相关的期权市场估计出隐含变换系数,然后以Esscher变换为工具,将巨灾损失统计分布风险中性化,从而对以该非交易风险为标的的巨灾超额损失再保险进行定价.同时,从期权定价的角度,结合Weibull极值分布和超额损失再保险的特点,给出了巨灾超额损失再保险定价的闭型表达式.     

ORG500W/4.5K制冷机的改造流程设计计算及分析

介绍了带LN2预冷的二级膨胀循环的流程计算方法,并提出了优化计算的思路和计算机程序实现的方法;最后就换热器热端温差对制冷机效率的影响进行了讨论     

鞅方法在一类破产问题中的应用

本文从鞅条件出发 ,推导出了总理赔过程分别为复合 Poisson过程与复合二项过程 ,利率强度波动为带跳的 Poisson过程情形下的调节方程 ,并由此得到了一些有趣的结果。     

N-O螯合配体协同膦配体的银(Ⅰ)混配配合物的设计、结构和生物活性

合成了一种Ag （Ⅰ）配合物[Ag （Qina）（Tpp）₂]·1.5H₂O （Qina=2-喹啉羧酸根,Tpp=三苯基膦）。运用单晶X射线衍射、IR、NMR和粉末X射线衍射对配合物的结构进行了表征。配合物属于单斜晶系,C2/c空间群,晶胞参数：a=3.195 90（13） nm,b=1.210 96（4） nm,c=2.319 74（7） nm,β=102.166（4）°,V=8.776 0（5） nm³,Z=8。通过Hirshfeld表面分析,推导出配合物的超分子结构和分子间弱作用力。同时,通过DNA结合活性测试、抗菌活性和癌细胞体外毒活性测试,评价了配合物的生物活性。