Thermal Buckling Analysis of FGM Sandwich Circular Plates Under Transverse Nonuniform Temperature Field Actions北大核心CSCD

Based on the von Kármán geometric nonlinear plate theory, the displacement⁃type geometric nonlinear governing equations for FGM sandwich circular plates under transverse nonlinear temperature field actions were derived. With the immovable clamped boundary condition, the analytical formula for dimensional critical buckling temperature differences of the system was obtained from the solution of the linear eigenvalue problem. Moreover, the 2⁃point boundary value problem of ordinary differential equations was solved with the shooting method. The effects of geometric parameters, constituent material properties, gradient indexes, temperature field parameters and layer⁃thickness ratios on the critical buckling temperature differences, the thermal postbuckling equilibrium paths, and the buckling equilibrium configurations of FGM sandwich circular plates, were investigated. The results show that, with the increases of the thickness⁃radius ratio, the relative thickness of the FGM layer and the gradient index, the FGM sandwich circular plate's critical buckling temperature difference will increase monotonically. Given a fixed radius and a fixed total thickness, the postbuckling deformation of the FGM sandwich circular plate will decrease significantly with the relative thickness of the FGM layer. © 2023 Editorial Office of Applied Mathematics and Mechanics. All rights reserved.     

镍基合金掺杂W、Mo原子在γ/γ＇相界面扩散机理研究

运用基于密度泛函理论的第一性原理,研究掺杂W、Mo在镍基高温合金的沉淀强化γ′相分配差异的因素.通过VASP软件,建立γ′-Ni₃(Al_3/8Ti_5/8)相的体系模型,选取非等效位置的不同阵点,计算W、Mo原子在不同位置的替代形成能,分析W、Mo在γ′相的占位倾向;计算掺杂W、Mo原子前后,界面的吸附能,研究掺杂W、Mo对相界的影响;计算W、Mo原子从γ向γ′相扩散,获得W、Mo扩散的路径与势垒.结果表明,W、Mo的掺杂优先替代γ′-Ni₃(Al_3/8Ti_5/8)相5号Al原子,并提高相界的稳定性;分配的差异是W相比于Mo替代γ′相位置的Al原子更易形成空位,而γ相中的Ni原子较难形成空位,且逆扩散所需能量更多导致的.     

十三陵抽水蓄能电站上池西外坡岩体稳定分析

上池西外坡岩体稳定是十三陵抽水蓄能电站主要的地质工程问题之一，由于受到倾向池外的数条缓倾角断层以及不良的岩体结构控制，存在着滑动位移、变形失稳的可能性，电站的安全运行受到潜在的威胁。因此对西外坡岩体进行稳定分析，并进行补强处理是必要的。     

广义协调平板型矩形壳元

本文根据修正势能原理通过广义协调方法提出了一种列式简单的平板型矩形壳元ＧＣＲ２４。它在四个角点处各有六个自由度，总共二十四个自由度。作为一种极限协调元，单元的收敛性得到保证，并且不发生薄膜闭锁现象。通过标准问题的数值检验，表明本文提出的平板型矩形薄壳元是性能可靠、计算精度高的优质单元。     

用白光相对客观散斑技术实测海冰力学性质的初探

本文提出了一种改进的白光散技术，应用此技术测量了单轴压缩下海冰的弹性模量，实测结果与电测法的结果符合程度良好，本文方法操作简单，避免了海水的表面缺隐和浸反射条件差以及表面升华等因素对测量的影响。     

二维正态分布函数值的一个近似算法

二维正态分布函数值的计算是估算串联结构体系失效概率上、下限的一项重要内容。目前一般常采用两种方法，即数值积分和界限法。前者因计算量大，耗时多不便实用，后者使结构体系失效率的上、下界限进一步变宽。本文给出一个计算二维正态分布函数值的近似方法。实际计算表明，本方法计算效率高，精度完全能满足工程应用要求     

RESISTANCE EFFECT OF ELECTRIC DOUBLE LAYER ON LIQUID FLOW IN MICROCHANNEL

Poisson-Boltzrnann equation for EDL (electric double layer) and Navier-Stokes equation for liquid flows were numerically solved to investigate resistance effect of electric double layer on liquid flow in microchannel. The dimension analysis indicates that the resistance effect of electric double layer can be estimated by an electric resistance number, which is proportional to the square of the liquid dielectric constant and the solid surface zeta potential, and inverse-proportional to the liquid dynamic viscosity, electric conductivity and the square of the channel width. An "electric current density balancing" (ECDB) condition was proposed to evaluate the flow-induced streaming potential, instead of conventional "electric current balancing" (ECB) condition which may induce spurious local backflow in neighborhood of the solid wall of the microchannel. The numerical results of the flow rate loss ratio and velocity profile are also given to demonstrate the resistance effect of electric double layer in microchannel.     

A DFT study of cage compounds: 3, 5, 8, 10, 11, 12-hexanitro-3, 5, 8, 10, 11, 12-hexaazatetracyclo [5.5.1.12,6.04,9] dodecane and its derivatives as high energetic materials

A new cage compound, 3, 5, 8, 10, 11, 12-hexanitro-3, 5, 8, 10, 11, 12-hexaazatetracyclo [5.5.1.1^2,6.0^4,9] dodecane (HNHATCD, I) as well as its –ONO₂ (II) and –N₃ (III) derivatives were proposed in the present work. Their molecular structures were optimized at the B3LYP/6-31G(d,p) level of density functional theory. Heat of formation, strain energy, detonation performance, and thermal stability were studied. Results show that the –N₃ group greatly increases the heat of formation, but decreases the strain energy and density, and it is much more helpful for enhancing the detonation energy than the –NO₂ and –ONO₂ groups. An analysis of bond dissociation energies (BDEs) of the weakest bonds implies that the BDE of –N₃ derivatives is the smallest but it is still larger than 120 kJ mol^?1, revealing that these designed compounds have a high thermal stability. Considering the detonation performance and thermal stability, I and II may be potential candidates of high energy density materials.     

Study on the Interaction Between Bovine Serum Albumin and Potassium Perfluoro Octane Sulfonate

The interactions between potassium perfluorooctanesulfonate (PFOS) and bovine serum albumin (BSA) were studied by fluorescence spectroscopy. The association constants between PFOS and BSA were obtained by fluorescence enhancing and fluorescence quenching respectively. Furthermore, fluorescence quenching was studied at different temperatures, and the binding constant was also determined by the method of fluorescence quenching. According to the thermodynamic parameters, the main binding force could be judged. The experimental results revealed that BSA and PFOS had strong interactions. The mechanism of quenching belonged to dynamic quenching and the main sort of binding force was hydrophobic force. IR-spectra proved the interaction changed the conformation of BSA.