Exact controllability of thermoelastic plate equation with memory

In this paper, we consider exact control problem for a coupled system of plate with Gurtin‐Pipkin equation. Using duality arguments, the problem is reduced to the obtention of suitable observability estimates for the dual system. Firstly, we obtain the observability inequality of the dual system by means of multiplier method. Then, we prove that the system is exactly controllable based on the Hilbert Unique Method.     

板问题三次样条有限元的超收敛及高精度组合公式

1．引言与问题提出双三次样条有限元是应用比较广泛的矩形板元之一，与其它协调元相比恻双三次Her－mite矩形元），除达到饱和精度O（h‘）外，计算量却小得多［‘］，因而受到人们的重视．目前关于这方面的研究工作已有许多［1，并但关于板弯曲问题的双三次样条有限元的超收敛结果，却尚未见到．本文应用双三次样条插值的逐项渐近展式，通过对有限元的双线性形式进行展开，得到了双三次样条有限元一、二阶偏导数的渐近展式及超收敛结果．考虑如下矩形板弯曲模型问题上述方程对应的双线性形式为对VV，VE”，满足其中，M，。为正常数，11…     

Scattering of S0 Lamb mode in plate with multiple damage

A study of scattering properties of S₀ mode Lamb wave in an infinite plate with multiple damage is presented. Plate theory and wave function expansion method are used to derive the analytical solutions for the scattering wave field in plate with a single damage, and by using the addition theorems of Bessel functions, interference phenomena between scattering wave fields from different damage is investigated. Measurements agree well between theoretical results and FE simulation study of plate with two damage and validity of the model is confirmed. Numerical results of scattering displacement field in plate with two and three damage are graphically presented and discussed. An assessment of effects of damage geometric properties on the scattering properties is made.     

High performance stationary phases for planar chromatography

The kinetic performance of stabilized particle layers, particle membranes, and thin films for thin-layer chromatography is reviewed with a focus on how layer characteristics and experimental conditions affect the observed plate height. Forced flow and pressurized planar electrochromatography are identified as the best candidates to overcome the limited performance achieved by capillary flow for stabilized particle layers. For conventional and high performance plates band broadening is dominated by molecular diffusion at low mobile phase velocities typical of capillary flow systems and by mass transfer with a significant contribution from flow anisotropy at higher flow rates typical of forced flow systems. There are few possible changes to the structure of stabilized particle layers that would significantly improve their performance for capillary flow systems while for forced flow a number of avenues for further study are identified. New media for ultra thin-layer chromatography shows encouraging possibilities for miniaturized high performance systems but the realization of their true performance requires improvements in instrumentation for sample application and detection.     

THE QUADRATIC SPECHT TRIANGLE

We propose a class of 12 degrees of freedom triangular plate bending elements with quadratic rate of convergence.They may be viewed as the second order Specht triangle,while the Specht triangle is one of the best first order plate bending element.The convergence result is proved under minimal smoothness assumption on the solution.Numerical results for both the smooth solution and nonsmmoth solution confirm the theoretical prediction.     

使色谱峰产生拖尾的一个因素--柱出口效应

使用塔板理论证明存在一种使正常色谱峰产生拖尾的因素－柱出口效应。证明符合线性分配的样品组分虽然在色谱内存在3种不同浓度的分布形态,但在流出色谱后却都因柱出口效应的影响而转变成拖尾峰。在不加任何近似处理的情况下,使用塔板理论直接对不同塔板数、容量因子的色谱峰不对称性进行了计算;计算结果同样支持了柱出口效应的存在。     

The Specific Impulse as an Important Parameter for Predicting Chemical High Explosives Performance

The plate dent test is one of the most useful tools used by experimenters for the determination of explosive performance. However, performing the test for every new composition is certainly tedious and time consuming. Hence, the aim of the present study was to introduce a model from which the plate dent performance output could be predicted. Using three set of variables namely, the loading density ρ, oxygen balance Ω and the specific impulse I_sp (calculated according to the [H₂O‐CO₂] arbitrary decomposition assumption), a correlation was derived, which is capable of reliable prediction of the dent depth δ produced on 1018 cold‐rolled steel by a detonating explosive cylinder. Furthermore, the calculated δ values and the well‐known Kamlet‐Jacobs and Keshavarz‐Pouretedal methods were used to estimate the detonation pressure P of CHNOClF‐containing explosives, and the results of each were then compared to experimental/thermochemical code data. The root‐mean square deviation (RMSD) analysis clearly shows that the proposed model is more reliable to predict P than the Kamlet‐Jacobs method especially for fluorine and chlorine‐containing compositions.     

Analysis of plate rolling by MY criterion and global weighted velocity field

A three-dimensional velocity field for plate rolling is proposed by global weighted method. Then, using the field and linear MY (mean yield) criterion, the power functional of internal deformation for plate rolling is analyzed. The collinear vector inner product is used in the friction power functional. Ultimately, analytical solution of total power functional is obtained. By minimizing the power functional, the rolling force and torque, as well as the stress effective factor are obtained. The calculated results by the solutions of rolling torque and force are compared with those of experimental ones. Good agreement is found and the maximum error percentage between them is less than 15.5%.     

On the separation of small molecules by means of nano-liquid chromatography with methacrylate-based macroporous polymer monoliths

Macroporous monolithic poly(butyl methacrylate-co-ethylene dimethacrylate) stationary phases were synthesized in the confines of 100 μm I.D. fused-silica capillaries via a free radical copolymerization of mono and divinyl monomeric precursors in the presence of porogenic diluents. These columns were used in order to determine their suitability for the reversed-phase separation of small molecules in isocratic nano-LC mode. Carefully designed experiments at varying realized phase ratio by a terminated polymerization reaction, as well as content of organic modifier in the mobile phase, address the most significant parameters affecting the isocratic performance of these monoliths in the separation of small molecules. We show that the performance of methacrylate-based porous polymer monoliths is strongly affected by the retention factor of the analytes separated. A study of the porous and hydrodynamic properties reveals that the actual nature of the partition and adsorption of the small analyte molecules between mobile and stationary (solvated) polymer phases are most crucial for their performance. This is due to a significant gel porosity of the polymeric stationary phase. The gel porosity reflects stagnant mass transfer zones restricting their applicability in the separation of small molecules under conditions of strong retention.     

Is plate tectonics a case of non-extensive thermodynamics?

Bird (2003) [5] proposed that the distribution of areas of the tectonic plates follows a power law and that this distribution fitted well with the concepts of a few major plates and a hierarchical self-similar organization of blocks at the boundary scale, a fractal plate distribution and a self-organized system. Here we apply the concepts of non-extensive statistical mechanics (NESM) to plate tectonics. The application of NESM is appropriate to systems such as tectonic plates where non-linearity, long-range interactions, memory effects and scaling are important. We calculate the probability density function for the areas of the tectonic plates. Our results show that three classes (small, intermediate and large) of tectonic plates can be distinguished, which is consistent with the observations of Bird. Furthermore, taking into account that for the intermediate class of tectonic plates the cumulative frequency distribution behaves as a power law with exponent 1/3, we estimate a thermodynamic q parameter of q=1.75, which supports the conclusion that the plate tectonics system is a sub-extensive one.