Analysis on diffusion-induced stress for multi-layer spherical core–shell electrodes in Li-ion batteries

Silicon-based carbon composites are believed as promising anodes in the near future due to their outstanding specific capacity and relatively lower volume effect compared to pure silicon anodes. Herein, a multilayer spherical core–shell(MSCS) electrode with a graphite framework prepared with Si@O-MCMB/C nanoparticles is developed, which aims to realize chemically/mechanically stability during the lithiation/delithiation process with high specific capacity. An electrochemical-/mechanical-coupling model for the M-SCS structure is established with various chemical/mechanical boundary conditions.The simulation of finite difference method(FDM) has been conducted based on the proposed coupling model, by which the diffusion-induced stress along both the radial and the circumferential directions is determined. Moreover, factors that influence the diffusion-induced stress of the M-SCS structure have been discussed and analyzed in detail.     

复杂微力－电系统的细微尺度力学

现代高新技术的崛起,提出了大量新的经典力学所不能完全包容的力学问题。这将是现代应用力学发展的巨大动力。微电子技术中微电子材料、器件、系统和微电子－机械系统（ｍｉｃｒｏｅｌｅｃｔｒｏ－ｍｅｃｈａｎｉｃａｌｓｙｓｔｅｍ,ＭＥＭＳ）所组成的复杂微力－电系统,是跨世纪发展的新科技方向,本文简要介绍了复杂微力,电系统的工业技术背景和发展;综述了这一领域存在的力学问题,主要讨论细微尺度下的结构力学与破坏力学。并评介与展望了这一新的力学领域的研究状况和发展趋势。      

Systemic Risk Analysis of Multi-Layer Financial Network System Based on Multiple Interconnections between Banks,Firms, and Assets

Global financial systems are increasingly interconnected, and risks can spread more easily, potentially causing systemic risks. Research on systemic risk based on multi-layer financial networks is relatively scarce, and studies usually focus on only one type of risk. This paper develops a model of the multi-layer financial network system based on three types of links: firm-bank credit, asset-bank portfolio, and interbank lending, which simulates systemic risk under three risk sources: firm credit default, asset depreciation, and bank bankruptcy. The impact of the multi-layer financial network structure, default risk threshold, and bank asset allocation strategy is further explored. It has been shown that the larger the risk shock, the greater the systemic risk under different risk sources, and the risk propagation cycle tends to rise and then decline. As centralized nodes in the multi-layer financial network system, bank nodes may play both blocking and propagation roles under different risk sources. Furthermore, the multi-layer financial network system is most susceptible to bank bankruptcy risk, followed by firm credit default risk. Further research indicates that increasing the average degree of firms in the bank–firm credit network, the density of the bank-asset portfolio network, and the bank capital adequacy ratio all contribute to reducing systemic risk under the three risk sources. Additionally, the more assets a bank holds in a single market, the more vulnerable it is to the risks associated with that market.     

Rosenblatt’s First Theorem and Frugality of Deep Learning

The Rosenblatt’s first theorem about the omnipotence of shallow networks states that elementary perceptrons can solve any classification problem if there are no discrepancies in the training set. Minsky and Papert considered elementary perceptrons with restrictions on the neural inputs: a bounded number of connections or a relatively small diameter of the receptive field for each neuron at the hidden layer. They proved that under these constraints, an elementary perceptron cannot solve some problems, such as the connectivity of input images or the parity of pixels in them. In this note, we demonstrated Rosenblatt’s first theorem at work, showed how an elementary perceptron can solve a version of the travel maze problem, and analysed the complexity of that solution. We also constructed a deep network algorithm for the same problem. It is much more efficient. The shallow network uses an exponentially large number of neurons on the hidden layer (Rosenblatt’s A-elements), whereas for the deep network, the second-order polynomial complexity is sufficient. We demonstrated that for the same complex problem, the deep network can be much smaller and reveal a heuristic behind this effect.     

多层膜界面结构探测技术

分别以丙醇锆和正硅酸乙酯为原料,采用溶胶-凝胶工艺制备了性能稳定的ZrO2和SiO2溶胶。用旋转镀膜法在K9玻璃上分别制备了SiO2单层膜、ZrO2单层膜和ZrO2/SiO2/ZrO2三层膜。采用椭偏仪测量薄膜的厚度与折射率,用紫外-可见分光光度计测量了薄膜的透过率,利用TFCalc_Demo模系设计软件,采用三层理论模型对薄膜的透过率进行模拟,用扫描电镜(SEM)观察了三层膜的断面结构,用X射线光电子能谱仪(XPS)测量了薄膜的成分随深度方向的变化,进一步验证了ZrO2/SiO2/ZrO2三层膜之间的渗透关系,同时对多层膜的界面结构探测方法起到了借鉴作用。     

多层石墨烯作为液体石蜡添加剂的摩擦学性能

以膨胀石墨为原料,采用不同溶剂,通过液相超声直接剥离法制备多层石墨烯,利用透射电子显微镜、原子力学显微镜对其形貌进行了表征,在多功能往复摩擦磨损试验仪上研究了石墨烯石蜡分散体系的摩擦学性能。通过扫描电镜、能谱仪分析了磨痕形貌及表面元素组成。结果表明：多层石墨烯作为液体石蜡添加剂表现出良好的减摩抗磨性能,主要是因为多层石墨烯在磨损表面形成的物理吸附膜与摩擦化学反应膜的共同作用。     

用于高能X射线能谱测量的MLS法

为满足高能X射线能谱测量的需要,提出采用MLS法进行能谱测量的方案。MLS法克服了其他测量方法散射不易控制、光场不均匀性影响较大的缺点,还具有对不同角度能谱进行测量的优势。对MLS法的测量原理以及测量过程中的注意事项进行了明确,并利用蒙特卡罗方法针对一特定的X射线能谱设计了两种不同介质的测量装置,并将测量装置自身散射的影响控制在5%以内。     

Entangling Lattice-Trapped Bosons with a Free Impurity: Impact on Stationary and Dynamical Properties

We address the interplay of few lattice trapped bosons interacting with an impurity atom in a box potential. For the ground state, a classification is performed based on the fidelity allowing to quantify the susceptibility of the composite system to structural changes due to the intercomponent coupling. We analyze the overall response at the many-body level and contrast it to the single-particle level. By inspecting different entropy measures we capture the degree of entanglement and intraspecies correlations for a wide range of intra- and intercomponent interactions and lattice depths. We also spatially resolve the imprint of the entanglement on the one- and two-body density distributions showcasing that it accelerates the phase separation process or acts against spatial localization for repulsive and attractive intercomponent interactions, respectively. The many-body effects on the tunneling dynamics of the individual components, resulting from their counterflow, are also discussed. The tunneling period of the impurity is very sensitive to the value of the impurity-medium coupling due to its effective dressing by the few-body medium. Our work provides implications for engineering localized structures in correlated impurity settings using species selective optical potentials.     

Reflection coefficient of ultrasonic waves as a measure of interface stresses in high pressure multi-layer cylinders

Abstract

Contact stresses in high pressure multi-layer cylinders are sometimes measured using ultrasonic technique. As a measure of the contact stresses the coefficient of reflection of ultrasonic waves from the contact interface between two adjacent outer layers is applied. The coefficient of reflection is an involved function of several parameters. Experimental and theoretical investigations show that this function may change non-monotonously with frequency of ultrasonic waves which may lead to an ambiguity of the assumed criterion. In order to check this function for higher frequencies, measurements of the reflection coefficient from a contact interface between plane steel samples were made for the frequencies up to 190 MHz.