半平面双材料角界面应力奇异性分布规律的探究

论文对半平面双材料角受集中力问题的界面应力场作了深入的探究,特别着重于双材料角端点附近的界面应力的奇异性分布规律.论文通过对界面应力的严格解和渐近解[16]的比较,发现在双材料角界面端点邻近,严格解和渐近解的差是一个向端点衰减的微幅震荡分布的应力.这个向端点衰减的微幅震荡应力的起始点,称为转换点.自界面端点到转换点,严...     

Experimental study on the influences of grain boundary scattering on the charge and heat transport in gold and platinum nanofilms

The electrical and thermal conductivities of polycrystalline gold and platinum nanofilms have been measured simultaneously using a direct current heating method from 60 to 300 K. The measured electrical and thermal conductivities are greatly decreased from the corresponding bulk values. And it is found that the reduction increases as the temperature decreases. The deviation from the bulk value is due to the effect of grain boundary scattering. Furthermore, the experimental results indicate that the grain boundary scattering effect imposes greater influence to the charge transport than to the heat transport. Consequentially, the Lorentz number is several times larger than that of bulk materials, leading to the violation of the Wiedemann–Franz law. The reflection coefficient R (0.86 in platinum, 0.42 in gold) at grain boundaries is obtained based on the Mayadas-Shatzkes theory and Matthiessen’s rule, which agrees well with the previous experiments.     

The Minimal Speed of Traveling Fronts for the Lotka–Volterra Competition System

We study the minimal speed for a two species competition system with monostable nonlinearity. We are interested in the linear determinacy for the minimal speed in the sense defined by (Lewis et al. J Math Biol 45:219–233, 2002). We provide more general cases for the linear determinacy than that of (Lewis et al. J Math Biol 45:219–233, 2002). For this, we study the minimal speed for the corresponding lattice dynamical system. Our approach gives one new way to study the traveling waves of the parabolic equations through its discretization which can be applied to other similar problems.     

On the extendability of certain semi-Cayley graphs of finite abelian groups

A connected graph Γ with at least 2n+2 vertices is said to be n-extendable if every matching of size n in Γ can be extended to a perfect matching. The aim of this paper is to study the 1-extendability and 2-extendability of certain semi-Cayley graphs of finite abelian groups, and the classification of connected 2-extendable semi-Cayley graphs of finite abelian groups is given. Thus the 1-extendability and 2-extendability of Cayley graphs of non-abelian groups which can be realized as such semi-Cayley graphs of abelian groups can be deduced. In particular, the 1-extendability and 2-extendability of connected Cayley graphs of generalized dicyclic groups and generalized dihedral groups are characterized.     

ON THE NUMBER OF LIMIT CYCLES OF A POLYNOMIAL DIFFERENTIAL SYSTEM

In this paper, we employ qualitative analysis and methods of bifurcation theory to study the maximum number of limit cycles for a polynomial system with center in global bifurcation.     

动态测量数据的合理性检验方法研究

采样数据合理性检验,是数据处理中重要的一环,它的主要功能是鉴别采样数据中可能含有的异常值,并进行相应的机理分析与修复工作.本文从飞行器外测系统工程应用的角度出发,给出了两种简单易行的判断方法.     

Gorenstein正则环、奇点范畴和Ding模

本文证明了任意环的整体Ding投射维数和整体Ding内射维数一致,研究了奇点范畴和相对于Ding模的稳定范畴间的关系,并刻画了Gorenstein (正则)环以及环的整体维数的有限性.     

创新网络合作密度影响因素及其仿真分析

合作创新模式使得创新主体之间构成具有拓扑结构特性的创新网络,创新主体合作行为会影响创新网络的可持续发展。为探究不同影响因素作用下创新网络合作密度的变化,基于演化博弈理论和BA无标度网络理论,运用仿真方法,分析了网络规模、聚类系数、偏好性仿真、利益分配对创新网络合作密度的影响。结果表明:小规模的创新网络具有较低的聚类系数有利于网络合作密度的提升,大规模的创新网络具有较高的聚类系数有利于网络合作密度的提升;无论是大规模还是小规模创新网络,适度的偏好性模仿均能促进网络合作密度的提升;对于利益分配而言,无论是大规模还是小规模的创新网络,按劳分配是提升网络合作密度的最佳利益分配形式。     

A Consumption Behavior Model with Advertising And Word-of-Mouth Effect

It is widely-held belief that people’s consumption behavior is partly determined by advertising and word-of-mouth effect especially in monopolistic competitive market. Owing to this, we propose a mathematical model to interpret consumer behavior under the advertising and word-of-mouth effects, which is divided into continuous and discrete types for dynamic behavior analysis. Our research indicates the continuous model undergoes fold bifurcation, Hopf bifurcation, and degenerate fold-Hopf bifurcation; the discrete model undergoes flip bifurcation and Neimark-Sacker bifurcation. Moreover, bifurcation diagrams are given by using MATLAB to illustrate the model. Based on the theory of Hopf bifurcation or Flip bifurcation, the system undergoes supercritical Hopf bifurcation or Flip bifurcation under certain conditions. This lead to both advertising impacts periodically on consumer behavior, and a short-term reduction cause no effect the public¡s recognition of the brand, which can guide precision advertising investment.     

Micro-deformation Study of Stainless Steel Impacted by Ceramic Particle Using Electron Moiré Method

Background

High-velocity oxy-fuel (HVOF)-sprayed metallic coating can be used to create a surface layer that plays a significant role in enhancing the overall strength, stiffness, and fatigue life of the treated material. The micro-deformation around a single impacted particle is a critical factor that must be considered for the optimization of the HVOF process.

Objective

In this study, the micro-deformation field of stainless steel impacted by a ceramic particle was characterized at the micro-scale.

Method

A grid with a frequency of 1200 lines/mm was fabricated on the surface of stainless steel specimen. The microscopic deformation field formed on the substreate surface, induced by the impact of micro-particles with a diameter of 18 µm, was determined using the electron moiré method and numerical simulations.

Results

The in-plane plastic strain around the impacted particle was found to be as high as 9.1%, and the value sharply decreased with the increase of the distance to the edge of the impacted particle. The diameter of the plastic area was about 40 µm, which was approximately 2.2 times larger than the particle size. The experimental results were compared with numerical simulation results, and good agreement between the results was found.

Conclusions

The electron moiré technique can be a useful tool for the measurement of the deformation field induced by an impacted particle in a very local area with a size on the order of microns.