基于圆筒模型的热障涂层安定分析

热载荷作用下,由于热障涂层(thermal barrier coatings, TBCs) 各层材料的热不匹配以及材料参数的温度相关等因素,会使热障涂层界面区域存在复杂的应力应变场,影响系统安定性,并导致涂层开裂和剥落. 将热障涂层外凸和内凹微观界面结构简化为多层圆筒模型,借助经典机动安定定理,利用特雷斯卡(Tresca) 屈服准则和增量破坏准则处理对时间的积分问题,避免了常规安定性分析的数学规划问题,建立了热障涂层安定极限分析方法,将材料屈服强度随温度变化关系简化为双线性关系,利用补偿变换的方法简化求解过程,对典型热障涂层安定性进行了研究. 结果表明,利用基于圆筒的安定极限分析方法,能够方便求解安定极限,便于工程应用;热障涂层安定极限值明显高于弹性设计值,且界面外凸区域安定极限高于内凹区域极限值,结构首先在内凹处失效;圆筒模型基体曲率和涂层厚度越大,结构安定极限越高,分析结果与试验结果一致;所建立的热障涂层安定分析方法,对进一步研究考虑蠕变因素影响的热障涂层安定性具有重要意义.      

一类反常弹流油膜出现的实验研究

采用光干涉法对球-圆盘和椭圆滚子-圆盘形成弹流油膜的凹陷现象进行研究.结果表明:凹陷只存在于一定的速度范围内,并受到载荷、卷吸方向及运动条件的影响;在速度-载荷关系曲线上,凹陷出现区域为一开放的三角形;润滑油的极限剪应力特性及其诱发的界面滑移为凹陷产生的原因.     

加速旋转变厚度锥壳和圆盘中的应力

通过求解球坐系中的弹性力学平衡方程，得到线性变厚度锥壳和圆盘在角加速旋转中位移和应力的封闭形式解，从而发现锥壳式圆盘中的剪应力只与几何尺寸、材料密度和角加速度有关，而与材料的弹性常数无关，文末的数字结果表明，变厚度圆盘的变形和应力与等厚度圆盘相比有较大的不同。     

不同表面粗糙度的摩擦副润滑状态的 Stribeck曲线研究

利用Stribeck润滑曲线理论分析和薄膜润滑试验考察了不同表面粗糙度的钢球与圆盘点接触及钢滑块与圆盘面接触摩擦副的润滑状态，通过改变圆盘转速获得了包含薄膜润滑状态的Stribeck曲线．结果表明：在Stribeck曲线上可以划分出薄膜润滑状态，其位于摩擦系数谷底附近；薄膜润滑的产生及其区间大小同圆盘表面粗糙度密切相关；圆盘表面粗糙度较小时更易形成薄膜润滑状态，而圆盘表面粗糙度较大时薄膜润滑状态不明显；光滑表面对应的Stribeck曲线谷底较宽，相应的薄膜润滑区间亦较宽．     

变曲率连续滚滑接触安定性的数值方法研究

针对接触表面变曲率的特点,引入局部坐标系,构造出局部坐标下残余应力应变场的分布状态,建立了变曲率连续啮合过程中安定状态残余应力的计算方法。该数值方法将弹塑性问题分解为弹性问题和特征应变决定的残余问题,并采用增量映射方法求解特征应变决定的残余问题,可直接得到接触安定状态下的接触残余应力,并随之进行安定极限的判定。采用该数值方法计算了不同曲率处接触点的安定极限,给出了安定极限与摩擦因数之间的关系,并与有关数值结果相比较,验证了该算法的有效性。     

表面凹槽对流体动压润滑油膜厚度的影响

利用自行研发的面接触光干涉油膜厚度测量系统,对表面凹槽滑块的流体动压润滑油膜厚度进行了试验测量,试验中以静止的微型凹槽滑块平面和旋转的光学透明圆盘平面构成润滑副,且两润滑平面始终保持平行;在固定的载荷(速度)条件下,对油膜厚度-速度(载荷)曲线进行测量.结果表明：凹槽的宽度,深度,方向和位置等因素对油膜厚度有着重要影响.同时采用经典Reynolds方程对油膜厚度进行了理论计算,结果表明理论值在某些条件下并不能解释试验结果.     

轻质泡沫混凝土的劈裂破坏力学行为分析

利用平台巴西圆盘加载方式和钢质压条加载方式,对两种厚度为25mm和50mm、不同密度的轻质泡沫混凝土(400～1000kg/m3)进行巴西圆盘劈裂试验,研究密度和厚度对泡沫混凝土裂纹宽度、劈裂强度、断裂韧度、断裂能的影响规律。结果表明,在橡胶垫平台巴西圆盘和钢质压条加载方式下,其劈裂断裂特征大致分为四个阶段:线性弹性段、非线性弹性段、起裂阶段、失稳阶段。同样加载率下最大裂纹宽度随着泡沫混凝土密度增加逐渐减小,劈裂拉伸强度、断裂韧度、断裂能呈幂函数形式增加。借鉴Reinhardt非线性软化曲线,对不同密度泡沫混凝土的应力软化关系进行曲线拟合,建立基于拉伸强度、断裂韧度等控制参数的应力-裂纹宽度关系三段式模型。基于试验结果,对理想多孔材料细观力学预测模型进行修正,获得泡沫混凝土孔隙率与拉伸强度的半经验公式。     

钢框架-预制再生混凝土结构抗震性能有限元分析

为分析钢框架-预制再生混凝土墙板结构体系在低周反复荷载作用下的抗震性能及其受力机理,在拟静力试验研究的基础上,采用ABAQUS程序展开非线性分析,重点分析并对比了各试件的滞回曲线、骨架曲线、变形特征,有限元分析结果与试验结果吻合较好。在此基础上,考虑墙板厚度、再生混凝土强度等级、高跨比、轴压比4个影响参数,进行参数扩展分析。研究结果表明:钢框架-预制再生混凝土结构的极限承载力随墙板厚度的增加和再生混凝土强度的提高而增大,墙厚从80mm增加到110mm时,结构极限承载力提高了12.8%;再生混凝土强度从C25增加至C40时,结构极限承载力增加了9.0%;随着高跨比的增加,结构的初始刚度和极限承载力都显著减小,高跨比从1.048增加到1.238时,极限承载力降低了17.37%;而钢柱轴压比变化对结构的初始刚度和极限承载力影响不显著。研究结果可为钢框架-预制再生混凝土墙板结构体系的进一步研究及其工程应用提供一定的参考依据。     

半球封头圆柱壳的安定分析

半球封头圆柱壳结构的力学分析是工程实际中提出的一个重要课题。本文应用 Melan 静力安定定理和修正的运动安定定理对半球封头圆柱壳结构进行安定上下限分析和计算,编制了专门的程序,并就修正的运动安定定理与极限分析上限定理进行比较。     

旋转薄圆盘的行波动力学特性分析

旋转圆盘是广泛应用于旋转机械装置中的基本结构元件,圆盘在高速旋转状态下会表现出与低速或非旋转状态下迥异的力学性能.本文对高速旋转薄圆盘横向振动的行波动力学特性进行了分析,建立了考虑离心力引起的薄膜内力影响下的动力学控制方程以及相应的边界条件.采用伽辽金法数值模拟了旋转圆盘前、后行波振动频率和动力屈曲失稳临界转速随着圆盘几何参数如半径比、厚度的变化规律,以及材料参数对于振动频率和临界转速的影响等.本文的数值计算可以同时给出圆盘旋转的前、后行波频率,并且结果与实验结果吻合良好.     

Energy dissipation due to frictional shake-down on a closed crack subjected to shear

The behaviour of a horizontal crack, subjected to cyclic shear and normal compressive stresses, is investigated with the aim of studying the shake-down and alternating plasticity phenomena. The analysis is carried out by means of the displacement discontinuity numerical method, conveniently modified so as to simulate the development of frictional stresses on the crack surfaces. The assumptions that the crack does not propagate and that the material behaves elastically are made. The critical values of the physical and geometrical parameters which determine the occurrence of frictional shake-down or alternating plasticity are identified. An evaluation of the amount of energy dissipated because of alternating plasticity is also provided.

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Sommario Nel presente articolo viene esaminato il comportamento di una fessura orizzontale soggetta a taglio ciclico e a sforzo normale di compressione. L'analisi è condotta mediante il metodo della Discontinuità di Spostamento, opportunamente modificato in modo da simulare lo sviluppo di sforzi di attrito sulle superfici della fessura. Vengono ricavati i valori critici dei parametri fisici e geometrici che determinano la comparsa del fenomeno dello shake-down. Viene infine valutata la quantità di energia dissipata in ogni ciclo di applicazione del taglio.

     

Effect of surface texturing on lubrication film formation and rolling contact fatigue within mixed lubricated non-conformal contacts

The paper is focused on the influence of surface micro-cavities in non-conformal contact on tribological quantities, such as lubricant film thickness, contact pressure and especially rolling contact fatigue (RCF). Both the possible negative and positive effects of surface texturing under mixed lubrication conditions are considered. The lubricant film thickness was measured using optical test rig based on thin film colorimetric interferometry, where the contact is realized between steel ball and glass disc. The experimental apparatus consisting of two discs loaded and running against roller specimen was used for measurement of RCF. Obtained results confirmed the key effect of micro-features depth on film thickness and RCF behavior under rolling/sliding conditions.     

Large deformation extensional rheology of bread dough

The stress–strain curves of bread dough were derived under uniaxial compression, uniaxial tension and equi-biaxial tension loading conditions. In uniaxial compression, a lubricant was used to eliminate frictional effects between the loading platens and the sample. In uniaxial tension, cylindrical samples with thin flat discs at both ends (‘I’ samples) were tested. The discs at both ends were allowed to air-dry and were subsequently glued onto the loading platens. In equi-biaxial tension, a thin disc of dough was inflated into a bubble using pressurised air. The thickness at the top of the bubble was measured by shining a light through the walls of the bubble and recording the change in light intensity as the wall becomes thinner. All methods ensured that uniform deformation was obtained. Stress and strain were accurately evaluated using image analysis techniques. The tests were performed at various strain rates and speeds that defined the time dependence of the material. A non-linear viscoelastic model based on the Prony series and Van der Waals hyperelasticity was used to predict all test data. The model had a total of five material parameters and two time constants, which were set to represent the actual time scales of the experiments. A reasonable agreement between the experimental data and the chosen material model was observed.     

薄膜应力应变曲线和基本力学性能测试

本文采用白光散斑和数字散斑两种方法测量了厚度在１－６０μｍ）之间康铜孤立膜和其上喷镀ＴｉＯ２后复合膜的应力应变曲线，并成功地利用一种新方法－复合材料分离法由孤立膜和复合膜应力应变曲线分离出ＴｉＯ２膜的应力应变曲线，同时给出了它们的基本力学性能（如（ｅ，ｑｓ，ｑｓ，Ｋ）测量结果表明这一方法对于微电子及其组件中常用的薄膜（１－６０μｍ）及超薄膜（０．１－１μｍ）的应力应变和基本力学性能的测量有普遍意义     

Evaluation and prediction of fatigue resistance of metals from the kinetics of variation in surface properties

The paper studies the fatigue resistance of metallic samples subjected to high-cycle loading and microhardness measurement. The fatigue damage of materials during loading is identified as decrease in the thickness of the barrier surface layer, which prevents fatigue failure. It is shown that the thickness of this layer is independent of the plastic characteristics of the material and the level of stress. A method to evaluate accumulated fatigue damage is developed. Kinetic curves of damage accumulation are analyzed. Methods to predict fatigue characteristics are proposed __________ Translated from Prikladnaya Mekhanika, Vol. 44, No. 3, pp. 86–95, March 2008.     

表面特性对纯滑弹流油膜形状和摩擦力的影响的试验研究

针对界面滑移效应可能产生较低的摩擦力,采用具有不同表面浸润性的玻璃盘,进行了纯滑弹流润滑试验.在采用SiO2镀膜玻璃盘的球-盘接触高聚物纯滑润滑试验中,从弹流到动压润滑的摩擦系数曲线呈现不同于传统Stribeck曲线的两个拐点.两个拐点分别与凹陷出现及弹性变形消失相关联.在较低载荷下,不同盘表面产生相近的干涉图像和摩擦系数曲线,高聚物的非牛顿效应产生的表观滑移可能是入口凹陷及非典型摩擦系数曲线的主因;在较高载荷下,盘滑试验中铬盘产生的摩擦系数和油膜厚度均较SiO2盘低,具有较低表面能的铬盘产生的界面滑移被认为是产生较低摩擦系数的主因.     

Vibrations of the elasto-plastic pendulum

A numerical strategy for vibrations of elasto-plastic beams with rigid-body degrees-of-freedom is presented. Beams vibrating in the small-strain regime are considered. Special emphasis is laid upon the development of plastic zones. An elasto-plastic beam performing plane rotatory motions about a fixed hinged end is used as example problem. Emphasis is laid upon the coupling between the vibrations and the rigid body rotation of the pendulum. Plastic strains are treated as eigenstrains acting in the elastic background structure. The formulation leads to a non-linear system of differential algebraic equations which is solved by means of the Runge-Kutta midpoint rule. A low dimension of this system is obtained by splitting the flexural vibrations into a quasi-static and a dynamic part. Plastic strains are computed by means of an iterative procedure tailored for the Runge-Kutta midpoint rule. The numerical results demonstrate the decay of the vibration amplitude due to plasticity and the development of plastic zones. The pendulum approaches a state of plastic shake-down after sufficient time.     

WAVE PROPAGATION IN PIEZOELECTRIC/PIEZOMAGNETIC LAYERED PERIODIC COMPOSITES

This paper is concerned with the dynamic behaviors of wave propagation in layered periodic composites consisting of piezoelectric and piezomagnetic phases. The dispersion relations of Lamb waves axe derived. Dispersion curves and displacement fields are calculated with different piezoelectric volume fractions. Numerical results for BaTiO3/CoFe2O4 composites show that the dispersion curves resemble the symmetric Lamb waves in a plate. Exchange between the longitudinal （i.e. thickness） mode and coupled mode takes place at the crossover point between dispersion curves of the first two branches. With the increase of BaTiO3 volume fraction, the crossover point appears at a lower wave number and wave velocity is higher. These findings are useful for magnetoelectric transducer applications.     

What are the Longest Ropes on the Unit Sphere?

We consider the variational problem of finding the longest closed curves of given minimal thickness on the unit sphere. After establishing the existence of solutions for any given thickness between 0 and 1, we explicitly construct for each given thickness \({\Theta_n:= {\rm sin}\, \pi/(2n),}\) \({n\in\mathbb{N}}\), exactly \({\varphi(n)}\) solutions, where \({\varphi}\) is Euler’s totient function from number theory. Then we prove that these solutions are unique, and also provide a complete characterisation of sphere filling curves on the unit sphere; that is of those curves whose spherical tubular neighbourhood completely covers the surface area of the unit sphere exactly once. All of these results carry over to open curves as well, as indicated in the last section.     

Analysis methods and size effects in the indentation fracture toughness assessment of very thin oxide coatings on glass

Very thin oxide coatings (<100 nm) which are used as anti-reflection and barrier layers in low emissivity architectural glass have been studied by nanoindentation methods to determine the effect of coating thickness on fracture toughness. Traditional microindentation-derived methods to determine the fracture toughness are unsuitable for assessing very thin coatings (<500 nm) and alternative energy-based models are required depending on what features are visible in indentation load–displacement curves. In cases where radial cracks are formed and grow in a discontinuous manner there are excursions in the load–displacement curve which can be the basis for analysis. In cases where picture frame cracks are observed there are no such features and an alternative approach based on assessment of irreversible work of indentation is required. This paper reviews the methods for obtaining fracture toughness data for very thin coatings and assesses the existence of size effects in the mechanical response of oxide coatings with different thickness on a glass substrate. For oxide coatings in the thickness range 100 to 400 nm no size effects in fracture toughness were observed.