Natural frequencies of functionally graded plates by a meshless method

We use the global collocation method, the first and the third-order shear deformation plate theories, the Mori–Tanaka technique to homogenize material properties, and approximate the trial solution with multiquadric radial basis functions to analyze free vibrations of functionally graded plates. Frequencies computed by the present method are found to agree well with those from the analytical solution of Vel and Batra, and the numerical solution of Qian et al. based on the meshless local Petrov–Galerkin formulation.     

J resistance behavior in functionally graded materials using cohesive zone and modified boundary layer models

This paper describes elastic–plastic crack growth resistance simulation in a ceramic/metal functionally graded material (FGM) under mode I loading conditions using cohesive zone and modified boundary layer (MBL) models. For this purpose, we first explore the applicability of two existing, phenomenological cohesive zone models for FGMs. Based on these investigations, we propose a new cohesive zone model. Then, we perform crack growth simulations for TiB/Ti FGM SE(B) and SE(T) specimens using the three cohesive zone models mentioned above. The crack growth resistance of the FGM is characterized by the J-integral. These results show that the two existing cohesive zone models overestimate the actual J value, whereas the model proposed in the present study closely captures the actual fracture and crack growth behaviors of the FGM. Finally, the cohesive zone models are employed in conjunction with the MBL model. The two existing cohesive zone models fail to produce the desired K–T stress field for the MBL model. On the other hand, the proposed cohesive zone model yields the desired K–T stress field for the MBL model, and thus yields J _R curves that match the ones obtained from the SE(B) and SE(T) specimens. These results verify the application of the MBL model to simulate crack growth resistance in FGMs.     

Non-Local Theory Solution for an Anti-Plane Shear Permeable Crack in Functionally Graded Piezoelectric Materials

In this paper, the non-local theory solution of a Griffith crack in functionally graded piezoelectric materials under the anti-plane shear loading is obtained for the permeable electric boundary conditions, in which the material properties vary exponentially with coordinate parallel to the crack. The present problem can be solved by using the Fourier transform and the technique of dual integral equation, in which the unknown variable is the jump of displacement across the crack surfaces, not the dislocation density function. To solve the dual integral equations, the jump of the displacement across the crack surfaces is directly expanded in a series of Jacobi polynomials. From the solution of the present paper, it is found that no stress and electric displacement singularities are present near the crack tips. The stress fields are finite near the crack tips, thus allows us to use the maximum stress as a fracture criterion. The finite stresses and the electric displacements at the crack tips depend on the crack length, the functionally graded parameter and the lattice parameter of the materials, respectively. On the other hand, the angular variations of the strain energy density function are examined to associate their stationary value with locations of possible fracture initiation.     

Cracks and re-entrant corners in functionally graded materials

Functionally graded materials (FGMs) are special composites in which the volume fractions of constituent materials vary gradually, giving continuously graded mechanical properties. The aim of this paper is the evaluation of the strength of structures composed by FGMs incorporating re-entrant corners - tending to the more common crack for vanishing corner angle. The end result is useful in engineering applications predicting the strength of the element corresponding to the unstable brittle crack propagation in such innovative materials. To show the general validity of the method, heterogeneous plates under tension and beam under bending containing re-entrant corners and by varying corner angle, depth and grading of the FGM are considered. Ad hoc performed numerical finite element simulations, by using the FRANC2D code, agree with the theoretical predictions.     

大学英语分级教学改革的实践与探索

大学英语教学是高等教育最重要的内容之一。我院在深入深化大学英语教学改革的过程中，根据自身的实际情况，实施了大学英语课程分级分组的教学模式，目的是解决目前学生中存在的个体差异，体现以人为本、因材施教的原则，以提高大学英语教学质量。介绍了这次改革的实施背景、理论依据、操作过程和教学效果，并分析和总结了有效实施这一模式的经验和措施。     

变压器中性点过电压保护综述

综述了变压器中性点保护理论，根据国内变压器中性点绝缘的实际情况，依据电力部下达的“过电压与接地技术方事故技术措施”对变压器中性点保护参数做出了参考设置。     

Analytical Model for the Piecewise Linearly Graded Doping Drift Region in LDMOS

提出了体硅LDMOS漂移区杂质浓度分布的一种二维理论模型,根据该模型,如果要使带有场极板的LDMOS得到最佳的性能,那么LDMOS漂移区的杂质浓度必须呈分段线性分布.用半导体专业软件Tsuprem-4和Medici模拟证明了该模型十分有效,根据该模型优化得到的新型LDMOS的击穿电压和导通电阻分别比常规LDMOS增加58.8%和降低87.4%.     

Simulation of Artificial Grain Feeding in Order to Reach Dynamical Bed Stabilisation Along the River Rhine

The Wesel-Xanten stretch of the fiver Rhine between km-812.5 and km-821.5 is one of the reaches where strong erosion leads to high maintenance efforts conceming navigability.In order to improve the naviga- tion conditions without aggravating the flood protection,but also ensuring that the ecological system of the river is not damaged,investigations of the morphodynamical processes in connection with artificial grain feeding ac- tivities have to be carried out by Federal Waterways Engineering and Research Institute.The performance of artificial grain feeding along a stretch of the lower Rhine near Wesel to prevent bed erosion by balancing sedi- ment transport was simulated in a scientific way by sensitivity studies in a 2D depth-average numerical model with graded sediment transport approach.The target of the investigations is to study the interaction of bed load supply and hydro-/morphodynamical features,and then especially to analyse and control the grain feeding measures in this section of the Rhine river.First the administrative background and target of artificial grain feeding along the waterways and then the special features regarding flow and transport characteristics of the stretch are described.After introducing shortly the mathematical basis for modelling graded sediment transport and some special treatments for the case of artificial grain feeding activities,some validation results for graded sediment are discussed.A series of numerical simulations with the objective of testing the model sensitivity to different model parameters has been carried out.Further,results of numerical simulations for the case of grain feeding are presented.     

Bonding strength of graded anti-corrosive coatings of fluoroethylenepropylene （FEP）/polyphenylene sulfide （PPS）

Fluororesin-based anti-corrosive coatings including graded FEP/PPS were prepared on carbon steel by melt powder coating, the bonding strength of all coating systems was determined by the pull-off test. It is found that the poor adhesion of fluororesin coatings to metallic substrates is improved obviously by the graded coating structure of FEP/PPS, and the bonding strength reaches up to 11.8 MPa for the five-layer system. Examination by electron probe microanalysis （EPMA） verifies that the distribution of main components is graded in the five-layer system, which is responsible for the enhancement of the interfacial bonding.     

Thermoelectric properties of p-type （Bi0.15Sb0.85）2Tes-PbTe graded thermoelectric materials with different barriers

The p-type （Bi0.15Sb0.85）2Te3 and PbTe are typical thermoelectric materials used for low and middle temperature range and functional graded materials （FGM） is an inevitable way to widen the working temperature range. Here two segments graded thermoelectric materials （GTM） consisting of （Bi0.15Sb0.85）2Te3, PbTe and different barriers were fabricated by the common hot pressure method. Metals Fe, Mg and Ni were used as barriers between the two segments. The diffusion of different barriers between the barriers and bases were analyzed by electron microprobe analysis （EMA）. The phase and crystal structures were determined by X-ray diffraction analysis （XRD）. The thermoelectric properties were measured at 303 K along the direction parallel to the pressing direction. The results show that the compositional diffusion occurs when there is no barrier at the interface of the two segments, and the diffusion of Pb is most obvious; as the barrier material, the diffusion of metals Fe, Mg and Ni between different bases is not very obvious, and the thermoelectric properties of GTM is much better than that of the original segment.