不同材料界面上受τ_0t~n型载荷作用的扩展裂纹问题

变量t的任意连续函数在任意闭域中都可以用多项式a_nt~m来一致的逼近,进而t的任意函数都可以表示为函数t_ot~n的线性叠加,利用复变函数理论,我们将在不同材料界面上受t_ot~n型载荷作用的扩展裂纹问题化为解析函数理论中的Keldysh-sedov混合问题,本文给出了这一问题的闭合解,并且这一解可以作为Green函数使用。     

粘弹性介质中扩展裂纹与J积分

本文提出了在线弹性及粘弹性介质中扩展裂纹与路径无关的J~*积分,并给出了严密的证明。文中证明了J~*积分与扩展裂纹尖端的张开位移(动态COD)之间有简单的关系,同时利用J~*积分求得了粘弹性介质中变速扩展裂纹尖端的奇异性。当裂纹以常速扩展时,J~*积分与能量释放率、动应力强度因子之间也有简单的关系。利用这些关系,我们给出了动态COD与动应力强度因子之间的关系式。     

EXACT AUGMENTED LAGRANGIAN FUNCTION FOR NONLINEAR PROGRAMMING PROBLEMS WITH INEQUALITY CONSTRAINTS

An exact augmented Lagrangian function for the nonlinear nonconvex programming problems with inequality constraints was discussed. Under suitable hypotheses, the relationship was established between the local unconstrained minimizers of the augmented Lagrangian function on the space of problem variables and the local minimizers of the original constrained problem. Furthermore, under some assumptions, the relationship was also established between the global solutions of the augmented Lagrangian function on some compact subset of the space of problem variables and the global solutions of the constrained problem. Therefore, from the theoretical point of view, a solution of the inequality constrained problem and the corresponding values of the Lagrange multipliers can be found by the well-known method of multipliers which resort to the unconstrained minimization of the augmented Lagrangian function presented.     

高效液相色谱-质谱联用法测定烟草中茉莉酸

采用高效液相色谱-质谱(HPLC-MS)联用法检测烟草中茉莉酸(JA)含量。样品研磨均质后经丙酮和柠檬酸萃取,离心分离,取上清液,氮气吹去丙酮后用乙醚萃取。经氨丙基固相萃取柱净化,吹干后用色谱流动相溶解,过0.45μm有机滤膜。利用高效液相色谱-质谱联用电喷雾负离子,选择离子监测模式进行检测,内标法定量。结果表明,待测样品JA浓度范围在5～1 000ng/mL之间,标准曲线具有良好的线性关系。方法检出限(S/N≥3)是2.0ng/mL。平均回收率为80.6%～101.1%,相对标准偏差为3.5%～14.6%。应用该方法检测烟草打顶与不打顶植株之间JA含量的差异,结果比较理想。     

Quantum plasmons in the hybrid nanostructures of double vacancy defected graphene and metallic nanoarrays

We study the plasmonic properties of hybrid nanostructures consisting of double vacancy defected graphene(DVDGr)and metallic nanoarrays using the time-dependent density functional theory. It is found that DVDGr with pure and mixed noble/transition-metal nanoarrays can produce a stronger light absorption due to the coherent resonance of plasmons than graphene nanostructures. Comparing with the mixed Au/Pd nanoarrays, pure Au nanoarrays have stronger plasmonic enhancement. Furthermore, harmonics from the hybrid nanostructures exposed to the combination of lasers ranged from ultraviolet to infrared and a controlling pulse are investigated theoretically. The harmonic plateau can be broadened significantly and the energy of harmonic spectra is dramatically extended by the controlling pulse. Thus, it is possible to tune the width and intensity of harmonic spectrum to achieve broadband absorption of radiation. The methodology described here not only improves the understanding of the surface plasmon effect used in a DVDGr-metal optoelectronic device but also may be applicable to different optical technologies.     

Three-dimensional image authentication using binarized images in double random phase integral imaging

We proposed a three-dimensional(3D) image authentication method using binarized phase images in double random phase integral imaging(InI). Two-dimensional(2D) element images obtained from InI are encoded using a double random phase encryption(DRPE) algorithm. Only part of the phase information is used in the proposed method rather than using all of the amplitude and phase information, which can make the final data sparse and beneficial to data compression, storage, and transmission. Experimental results verified the method and successfully proved the developed 3D authentication process using a nonlinear cross correlation method.     

四角锥氧化锌的制备及其强蓝光发射性质研究

采用热蒸发锌(Zn)粉的方法制备了大量的ZnO纳米棒状和四角锥状结构。用扫描电子显微镜(SEM)、拉曼光谱(Raman Spectra)和光致发光谱(PL)对样品进行了形貌,结构和发光特性分析。结果表明:合成的ZnO纳米棒具有良好的晶体结构,直径约100～500 nm,长度约2～5μm,还有一些四角锥状结构。在325 nm波长光激发下,有微弱的391 nm带边紫外发射和很强的488 nm蓝光发射,呈现出纳米ZnO优异的蓝光特性,并对其生长机理和发光机理进行了初步的探讨。     

Ejection dynamics of semiflexible polymers out of a nanochannel

Using theoretical analysis and three-dimensional Langevin dynamics simulations, we investigate the influence of chain rigidity on the ejection dynamics of polymers from a nanochannel. We find that there exist two distinct dynamical regimes divided by a critical chain length for both flexible and semiflexible chains. At the short chain regime, semiflexible chains eject faster than flexible chains of the same chain length due to the longer occupying length. In contrast, at the long chain regime, semiflexible chains eject slower than flexible ones as the effective entropic driving force decreases. Based on these results, we propose that the nanochannels could be used to separate flexible and semiflexible chains effectively.     

Geometrical optics-based ray field tracing method for complex source beam applications

Due to the fact that traditional ray field tracking approaches require a large number of geometrical optical(GO) ray tubes,they are very inefficient in many practical applications.An improved ray model scheme for a complex source beam(CSB) tracking technique is proposed in this paper.The source field can be expressed by a superposition of CSBs,then every CSB basis function has a Gaussian-type amplitude distribution and is suitable for replacing a GO ray tube in the ray tracing approach.The complex phase matching technique is adopted to find the reflected beam in the reflection point where local approximation is used to represent the curved surface in its neighborhood.A new solution to multiple reflections using the conventional right-handed reflected system is used to track the field easily.Numerical results show the accuracy of the proposed method.