温度相关双扩散模型在半无穷柱体上的结构稳定性

该文研究了定义在一个半无穷柱体上的温度相关双扩散模型的简化形式.利用先验估计和加权能量分析法,证明了当边界条件满足一定的约束条件时模型的解随空间变量指数式衰减.利用解的先验界和衰减性结果,得到了解对相互作用系数的结构稳定性.     

CdHg(SCN)4晶体的结构和光学性质的理论研究

采用密度泛函理论(DFT)和赝势方法,研究CdHg(SCN)4(CMTC)的晶体结构、电子结构和光学性质.计算结果表明:优化后的晶体晶格常数与实验值基本一致,CMTC晶体以-Cd-N=C=S-Hg-为链形成的无限三维网络结构具有较强的稳定性;能带结构具有明显的直接带隙结构,用LDA+U方法计算CMTC晶体带隙为3.223 eV,与实验值3.265 eV相接近;键合性质的计算显示S-C和C-N键具有明显的共价性,而Cd-N和Hg-S键具有明显的离子性.依据阴离子基团理论,计算了CMTC晶体的倍频系数,CMTC晶体倍频系数的计算值(d14=1.58～ 1.74 pm/V,d15=5.77～7.69 pm/V)与实验值(d14=1.4 ±0.6 pm/V,d15 =6.0 ±0.9 pm/V)基本一致,研究发现CMTC晶体的非线性光学效应主要来自于多面体Cd (NCS)4和Hg (SCN)4基团.     

添加纳米固体润滑剂的自润滑陶瓷材料高温摩擦磨损性能研究

采用真空热压烧结工艺制备了一种添加纳米固体润滑剂CaF2的自润滑陶瓷材料,研究其在室温25℃到600℃环境下与40Cr钢销干摩擦时的摩擦磨损性能.结果表明:自润滑陶瓷材料的摩擦系数与磨损率随环境温度的升高而逐渐降低,600℃时摩擦系数降低到0.21,磨损率降低到2.4×10-6 mm3/N·m.常温下自润滑陶瓷材料的磨损机理是磨粒磨损,高温环境同时存在磨粒磨损和粘着磨损.高温环境下摩擦表面纳米CaF2含量的增加和固体润滑膜的形成是摩擦磨损性能改善的主要原因.     

热硫化纳米黄铁矿的晶体结构特征及其热电性能研究

采用热硫化法在不同温度条件下制备了黄铁矿样品,用FESEM、XRD等测试手段对黄铁矿样品的晶体形貌、成分、物相结构和颗粒尺寸进行了观察与表征.测定了样品的热电系数,并讨论了黄铁矿的颗粒尺寸、S/Fe比值和各晶面衍射强度对热电系数的影响.结果表明,在一定温度范围内,热电系数随颗粒尺寸的减小而减小.S/Fe比值对热电系数影响较为复杂.在320～ 360℃时,热电系数随S/Fe比值的增大而增大;在360～380℃时,热电系数随S/Fe比值的减小而减小;在380 ～420℃时,热电系数随S/Fe比值的增大反而呈降低趋势.不同衍射晶面对热电系数影响程度不同,低指数衍射晶面对热电系数的影响程度明显大于高指数衍射晶面.     

Generation of Nonlinear Evolution Equations by Reductions of the Self-Dual Yang–Mills Equations

With the help of some reductions of the self-dual Yang Mills （briefly written as sdYM） equations, we introduce a Lax pair whose compatibility condition leads to a set of （2 ＋ 1）-dimensional equations. Its first reduction gives rise to a generalized variable-coefficient Burgers equation with a forced term. Furthermore, the Burgers equation again reduces to a forced Burgers equation with constant coefficients, the standard Burgers equation, the heat equation, the Fisher equation, and the Huxley equation, respectively. The second reduction generates a few new （2 ＋ 1）-dimensional nonlinear integrable systems, in particular, obtains a kind of （2 ＋ 1）-dimensional integrable couplings of a new （2 ＋ 1）- dimensional integrable nonlinear equation.     

von Neumann群代数

设G是带左正则表示λ的一个离散群, VN（G）是λ（g）生成的von Neumann群代数。我们刻画了von Neu-mann群代数上的Hardy空间。     

考虑湍流模型的板片空间结构风荷载下流固耦合模拟

大跨空间结构凭借其新颖的外形和较大的内部空间,已经成为常用的建筑结构.由于大跨结构刚度、质量较小,受到风荷载作用时力学响应较一般结构大,同时大跨结构附近极易出现湍流影响.本文基于显式大涡模拟(ILES)和S-A (Spalart-Allmaras)湍流模型,使用ABAQUS软件对矢跨比为1:2的空间板片结构在不同风速下的风压系数进行流固耦合(FSI)模拟.风速以及不同湍流模型对大跨板片风压系数分布的影响得到了考察,并与相关的风洞实验比较.同时对板片结构受风载的力学响应进行了分析.结果显示选用大涡模拟湍流模型和雷诺时均方程方法湍流模型的流固耦合板片空间结构模型得到的风压系数及其分布和风洞试验实测数据吻合均较好.     

Embedding copper nanoparticle-anchored conductive nano-blocks in polyelectrolyte

Conductive carbon nanotubes （CNTs） or alternatively polyaniline （PANI） nano-blocks was introduced into aqueous solutions of polyvinyl alcohol （PVA） and copper （II） salt, to assist the reduction of copper （II） ions and the anchoring of the resulting copper nanoparticles onto the conductive blocks. The mixture solutions of nano-blocks, copper （lI） salts and PVA were spin-coated onto the cathode surface, forming swollen cathode films （SCFs）. The copper （II） ions in the film assembled onto the surfaces of the conductive blocks and were then reduced under an appropriate voltage. It is important that the copper nanoparticles grew only on the surfaces of the conductive blocks. PVA which acted as the matrix of the composites played a role in stabilizing the resulting copper nanoparticles. Morphologies of these polymeric composite films were studied by various characterization methods. Moreover, the mechanism of migration of copper （II） ions, the formation of these polymeric composites, and the overall procedure were investigated in detail.     

Optimization of highly nonlinear dispersion-flattened photonic crystal fiber for supercontinuum generation

A simple type of photonic crystal fiber (PCF) for supercontinuum generation is proposed for the first time. The proposed PCF is composed of a solid silica core and a cladding with square lattice uniform elliptical air holes, which offers not only a large nonlinear coefficient but also a high birefringence and low leakage losses. The PCF with nonlinear coefficient as large as 46 W 1 · km-1 at the wavelength of 1.55 μm and a total dispersion as low as ±2.5 ps · nm-1 · km-1 over an ultra-broad waveband range of the S-C-L band (wavelength from 1.46 μm to 1.625 μm) is optimized by adjusting its structure parameter, such as the lattice constant Λ , the air-filling fraction f , and the air-hole ellipticity η. The novel PCF with ultra-flattened dispersion, highly nonlinear coefficient, and nearly zero negative dispersion slope will offer a possibility of efficient super-continuum generation in telecommunication windows using a few ps pulses.     

梯度变化对密度梯度蜂窝材料力学性能的影响

为确定一定质量蜂窝材料的密度梯度大小对材料能量吸收性能的影响,基于二维圆环系,通过改 变圆环的壁厚,建立了具有不同密度梯度的二维密度梯度圆环蜂窝材料模型。在此基础上讨论了不同冲击速 度下,密度梯度大小对蜂窝材料能量吸收特性的影响。研究结果表明,对于相对密度从冲击端到固定端递减 的情况,在高速冲击条件下,梯度系数越大,材料单位质量的能量吸收率越高。研究结果可为完善密度梯度 蜂窝材料动力学性能的设计提供参考。