Wave Propagation in Rotating Functionally Graded Microbeams Reinforced by Graphene Nanoplatelets

This paper presents a study on wave propagation in rotating functionally graded (FG) microbeams reinforced by graphene nanoplatelets (GPLs). The graphene nanoplatelets (GPLs) are considered to distribute in the diameter direction of the micro-beam in a gradient pattern, which leads to the functionally graded structure. By using the Halpin-Tsai micromechanics model and the rule of mixture, the effective material properties of the microbeam are determined. According to the Euler-Bernoulli beam theory and nonlocal elasticity theory, the rotating microbeams are modeled. A comprehensive parametric study is conducted to examine the effects of rotating speed, GPL distribution pattern, GPL length-to-thickness ratio, GPL length-to-width ratio, and nonlocal scale on the wavenumber, phase speed and group speed of the microbeam. The research findings can play an important role on the design of rotating graphene nanoplatelet (GPL) reinforced microbeams for better structural performance.     

SURFACE EFFECTS ON ELASTIC FIELDS AROUND SURFACE DEFECTS

<正>There are always severe stress concentrations around surface defects like grooves or bugles,which might induce the failure of solid materials and structures.In the present paper,we consider the elastic fields around nanosized bugles and grooves on solid surfaces.The influence of surface elasticity on the elastic deformation is addressed through a finite element method.It is found that when the size of defects shrinks to nanometer,the stress fields around such defects will be affected significantly by surface effects.     

THREE-DIMENSIONAL STATIC ANALYSES FOR FGM PLATES WITH MEDIUM COMPONENTS AND DIFFERENT NET STRUCTURES

A new microelement method for the analyses of functionally graded structures was proposed. The key of this method is the maneuverable combination of two kinds of elements. Firstly, the macro elements are divided from the functionally graded material structures by the normal finite elements. In order to reflect the functionally graded distributions of materials and the microconstitutions in each macro-element, the microelement method sets up the dense microelements in every macro-element, and translates nodes to the same as the normal finite elements by the degrees of freedom of all microelemental the compatibility conditions. This microelement method can fully reflect the micro constitutions and different components of materials, and its computational elements are the same as the normal finite elements, so it is an effective numerical method for the analyses of the functionally graded material structures. The three-dimensional analyses of functionally graded plates with medium components and different micro net structures are given by using the microelement method in this paper. The differences of the stress contour in the plane of functionally graded plates with different net microstructures are especially given in this paper.     

CRACK PROPAGATING IN FUNCTIONALLY GRADED COATING WITH ARBITRARILY DISTRIBUTED MATERIAL PROPERTIES BONDED TO HOMOGENEOUS SUBSTRATE

In this paper, a finite crack with constant length （Yoffe type crack） propagating in a functionally graded coating with spatially varying elastic properties bonded to a homogeneous substrate of finite thickness under anti-plane loading was studied. A multi-layered model is employed to model arbitrary variations of material properties based on two linearly-distributed material compliance parameters. The mixed boundary problem is reduced to a system of singular integral equations that are solved numerically. Some numerical examples are given to demonstrate the accuracy, efficiency and versatility of the model. The numerical results show that the graded parameters, the thicknesses of the interfacial layer and the two homogeneous layers, the crack size and speed have significant effects on the dynamic fracture behavior.     

Graded index broadband antireflection coating prepared by glancing angle deposition for a high-power laser system

This paper reports that SiO₂ is selected to fabricate broadband antireflection (AR) coatings on fused silica substrate by using glancing angle deposition and physical vapour deposition. Through accurate control of the graded index of the SiO₂ layer, transmittance of the graded broadband AR coating can achieve an average value of 98% across a spectral range of 300--1850~nm. Moreover, a laser-induced damage threshold measurement of the fabricated AR coating is performed by using a one-on-one protocol according to ISO11254-1, resulting in an average damage threshold of 17.2~J/cm$^{2}$.     

Exact solution for in-plane static problems of circular beams made of functionally graded materials

Exact analytical solutions of in-plane static problems of circular beams with uniform cross-section made of functionally graded material (FGM) are obtained. Material properties are assumed to be varying arbitrarily through the thickness. The effects of axial extension and shear deformations are considered. The differential equation system is solved exactly using the initial values method. The circumferential stress distribution on the cross-section is also obtained. The results are compared with those of rather complex approaches in the literature, such as elasticity approach, and the comparison shows an excellent agreement. Effects of power law exponent and radius-to-height ratio of the beam on circumferential stress distribution and displacements are investigated.     

聚变堆第一壁连续W/Cu 梯度材料的热工性能优化

针对不同体积分布指数p的W/Cu连续功能梯度材料的偏滤器第一壁结构,采用有限元软件计算了 8MW•m⁻²稳态运行热加载以及等离子体破裂条件下1GW•m⁻²热流冲击下的力学响应。相同稳态加载条件下,W/Cu 连续功能梯度材料的最优分布指数与分层梯度材料存在较大差异,其最优等效应力比分层梯度材料要小26%,表现出更优异的性能。在热冲击响应过程中,连续梯度W/Cu材料塑性损伤随p值不同也存在较大变化,其最优p值与其稳态运行时热应力最优p值存在一定差异,从第一壁应用条件考虑,应综合选取,最佳p值在1.2附近。综合来看,连续梯度W/Cu材料具有更连续变化的热物理属性及力学性能,在聚变堆第一壁结构设计中具有更大的应用潜力。     

梯度蜂窝夹芯板在爆炸荷载作用下的动力响应

利用弹道冲击摆锤系统对分层梯度蜂窝夹芯板在爆炸荷载下的动力响应进行了实验研究,分析了梯度蜂窝夹芯板在爆炸荷载作用下的变形失效模式,并与传统非梯度蜂窝夹芯板的抗爆性能做了对比。通过一维应力波理论,分析了应力波在梯度芯层中的传播规律。应力波透射系数在梯度试件中比非梯度芯层中小,而且相对密度递减的芯层组合有最小的应力波透射系数。综合考虑结构变形失效模式,后面板挠度,芯层压缩量以及应力波传播特点得到:分层梯度蜂窝夹芯板的抗爆性能明显优于传统的非梯度夹芯板,在所研究的荷载范围内,芯层相对密度从大到小排列试件的抗爆性能相对较好。     

接触状态对叶根轮槽应力分布影响的研究

汽轮机叶片叶根、轮槽连接区域常因加工误差及磨损等原因导致接触状态的改变,从而改变整个区域应力分布并大大降低汽轮机的使用寿命。本文运用数字光弹性技术实验测试了长叶片叶根、轮槽在不同接触状态下的应力分布情况,同时结合有限元进行了仿真计算。结果表明,叶根、轮槽对称接触时,全部齿同时接触的应力集中系数最小且分布较均匀;而当部分接触齿产生间隙时,接触状态发生显著变化,应力集中系数明显增大;尤其是当左右齿非对称接触时,最大应力集中系数明显增大且应力分布不均匀。本文研究可为叶根、轮槽的优化设计、加工以及叶片的装配、维护提供实验依据。     

一种高灵敏度石英微机械陀螺敏感器件

针对石英晶体各向异性的特点,设计了一种驱动梁为双"W"截面形状的石英音叉微机械陀螺,通过在驱动梁表面凹槽两端设置深凹槽,有效提高了凹槽侧壁的陡直性,进而提高了驱动梁内部电场的激励效率和陀螺灵敏度。采用有限元仿真的方法,分析了不同截面形状的驱动梁压电激励力的相对大小,优化设计了陀螺芯片结构参数。依据陀螺芯片的结构,设计了合理的工艺方案并在3英寸石英圆片上制作出了三种驱动梁截面形状的陀螺器件,测试结果表明,相对于矩形驱动梁截面的陀螺芯片,双"W"形驱动梁截面的陀螺芯片的灵敏度提高约60%。