Viscoplasticity of agglomerated suspensions

This work is a theoretical study on the effects of agglomeration on the fluidity and plasticity of a suspension of neutrally buoyant particles in a Newtonian fluid. The dynamics of a cluster of permanently attached spherical particles in a simple shear field is analyzed. The viscous and plastic components of the drag force acting on each of the agglomerated particles is then calculated and found to depend on the size of the individual particle unit, its location being relative to the center of the cluster and the material properties of the engulfing fluid. This information in conjunction with the knowledge of the interparticle cohesive forces is used to establish criteria for the agglomerate size reduction during dispersive mixing. From the kinematics of the cluster movement and the forces acting on its particulate components the rate of energy dissipation is calculated and utilized to evaluate the viscosity and yield stress of the suspension. These rheological parameters depend on the volume fraction and architecture of the agglomerate, the number of fused particles per cluster, and the viscosity of the suspending fluid. The analysis is also extended to include the case of polydispersity of agglomerate sizes.     

Reserve ability of parallel system with failed elements

The aim of the analysis is to define for a system with parallel elements conditions at which the failure of one or several elements does not cause immediate failure of the whole system. The critical number of failed elements of such a system is assessed based on the strength probability properties of its structural elements. The condition of the catastrophic failure of the whole system is defined by the shape and scale parameters of the strength probability function and the number of parallel elements. The proposed probabilistic model allows estimating the ability of the parallel systems to continue operation when some of its elements are broken.     

Evolution of viscoelastic properties of polyurethane in the course of curing

Simultaneous measurements of the components of dynamic modulus at the set of frequencies were made by Fourier-Transform Mechanical Spectroscopy (FTMS) to investigate the curing process of a segmented polyurethane.The whole process of curing is treated as consisting of three stages. In the first stage, the material can flow and this stage is complete at the gel-point. In the second stage, the curing proceeds in the network and ends with phase separation of aggregating segments (blocks) of polymeric chains. In the third stage, the curing continues in the two-phase system. The object of investigation was the transition from the second to the third stage. It was shown that the position of the maximum of loss tangent depends on frequency and does not coincide with different characteristic points marking the time dependencies of G and G. This is due to the formation of micro-particles of the newly formed phase. The FTMS method is used for separation of the modulus changes into parts related to formation of chemical and physical networks.Special means of treating calorimetric measurements identified a weak maximum heat output at the moment corresponding to the transition point.     

ARCJET ABLATION EXPERIMENT TO SIMULATE THE CHELYABINSK ASTEROID ENTRY 1)

烧蚀是小行星极高速进入地球大气层后最重要的现象之一,在很大程度上决定了小行星的质量/尺寸变化、飞行轨迹、甚至光辐射特性. 为观测小行星材料在超高速高温流场中的烧蚀现象,在电弧加热器上开展了模拟Chelyabinsk小行星事件典型弹道状态(速度约5.6 km/s,高度17 km,流星体直径1 m)的烧蚀实验. 试件为钝头外形,头部半径20 mm,半锥角18$^\circ$. 作为对比,试件分别采用玄武岩和碳钢材料. 成功记录了清晰的烧蚀动态过程,观察到两种材料试件表面的熔融损失流动、以及玄武岩试件的蒸发喷射和崩裂剥落等现象,全程测得烧蚀气体发射光谱、试件实时外形变化、表面热图变化等数据. 分析结果显示了两种材料明显不同的烧蚀现象和质量损失机制：碳钢在高温气流冲击作用下溅射成大量微小液滴,跟随气流高速流失;玄武岩质量损失以熔融物剪切流动为主,并伴随少量块状剥落及蒸发喷射. 烧蚀时间为4 s,玄武岩和碳钢的质量损失及驻点后退量分别为37.9 g,72.7 g以及7.3 mm,13.1 mm,估算玄武岩材料的有效烧蚀焓约为2.6 MJ/kg,两种材料的烧蚀光谱测量组分与电镜能谱扫描结果吻合.     

La notion de moyenne en turbulence. Quelques réflexions selon une perspective historique

The historical evolution of the averaging concept in turbulence is presented according to a two-fold analysis, taking into consideration the physical meaning and the mathematical formulation. After having placed in their historical context some symptomatic characteristics of turbulent flows, the question of their interpretation as a turbulence syndrome, leading to a unitary identification of the phenomenon, is discussed. We then deal with the emergence of the notion of mean as a tool of physical understanding of such a unitary approach, and its relation with the progression of the “experimental” evidence. We conclude by relating this notion to the theoretical aspects of a determinism on average of the turbulent regime, its finality and some attempts to develop a probabilistic theory of turbulence.     

一类三维随机动力系统的最大Lyapunov指数

基于一维扩散过程的奇异边界理论,使用摄动方法研究了白噪声参激的一类余维二分岔系统的最大Lyapunov指数渐近表达式和数值解,主要讨论了一维相扩散过程同时存在两类奇异边界以及FPK方程存在平稳解的一般性条件. 通过对参激噪声作用项系数矩阵的分析,给出了不变测度的解析解及其相应的Monte Carlo数值仿真结果,并导出了一维相扩散过程P分岔点的确定方法. 对于一类特殊情形,给出了最大Lyapunov指数的渐近表达式;对于参激噪声作用项系数矩阵的一般情形,则给出了系统最大Lyapunov指数的数值结果.      

多刚体系统分离策略及释放动力学研究

紧密连接的多刚体系统可在脱离运载航天器后在轨自主分离,无需多次利用航天器发射装置或在航天器中安装多个发射装置进行分离释放,从而有效提高运载航天器空间利用率, 简化分离释放操作和降低碰撞风险.本文针对多刚体系统的在轨分离释放问题, 研究在轨分离策略及释放过程动力学.首先, 考虑刚体相对运动及姿态变化,基于虚功原理及自然坐标方法建立单个刚体的动力学模型.考虑多刚体系统在轨分离释放阶段的轨道运动和连接约束变化,计入分离时刚体间的相互作用,利用拉格朗日乘子法获得含连接约束的非线性动力学模型. 考虑到实际工程应用,在多刚体系统分离释放阶段,通过安装在刚体间每个接触表面4个角上的弹射装置实现自主分离. 其次,为保证分离过程中刚体之间无碰撞发生, 规划了多刚体系统的分离时序,并基于不同弹射方向及分离顺序设计了两种分离释放方案. 最后,通过算例研究分析了在轨分离释放过程中刚体的非线性动力学行为,验证了分离释放方案的有效性.      

Embracing the Random in the Self-Organizing Psyche

The history of the idea of randomness in the Nineteenth Century is presented as a backdrop to Freud's understanding of randomness in the psyche. Next, the role of the random event in nonlinear dynamical systems theory is discussed. Then, a revision of the traditional psychoanalytic view of the synthetic function of the ego is proposed based on the process of self-organization in which random elements are utilized in the emergence of new systemic structures. A theory of dreaming is elaborated which transcends the traditional dichotomy of dreams as either random events or meaningful psychological contents. Finally, remarks about psychoanalytic treatment as a process of self-organizing incorporation of the random are offered.     

Measurements of junction coupling during water hammer in piping systems

For the analysis of the effects of fluid–structure interaction (FSI) during water hammer in piping systems, a test facility has been designed and constructed. The research objective is to show on the basis of two specific examples that the necessity of considering FSI is strongly dependent on the boundary conditions of the system. Resonance experiments on movable bends in two piping system configurations focused on junction coupling were carried out. These configurations differ in the length of the hydraulic system and in the geometry of the oscillating bend. The displacement of the bend and the pressure inside the pipe were measured for various free oscillating lengths of the bend while the rest of the piping system was restrained. The results are displayed in resonance curves and frequency spectra for the different configurations. In both cases a correlation between the pressure and the displacement spectrum shows a transfer of momentum from the fluid to the structure, but only in the configuration with the long oscillating pipe section can a reaction of the fluid on the motion of the structure be identified. Frequency shifts of the pressure and a splitting of the pressure peak were observed. The time signals confirm that the effects of FSI are most significant in one system configuration which is strongly influenced by the bend geometry. Furthermore a parameter is presented which quantifies the effects of junction coupling based on the geometrical and hydraulic properties of the bend and the system.     

Bag breakup of nonturbulent liquid jets in crossflow

An experimental investigation of the bag breakup of round nonturbulent liquid jets in gaseous crossflow at room temperature and pressure is described. Pulsed photography, pulsed shadowgraphy, and high-speed imaging were used to observe the column and surface waves along the liquid jet and the formation and breakup of bags. Measurements included: wavelengths of column and surface waves, jet velocities, the number of bags along the liquid jet, the number of nodes per bag, droplets sizes and velocities, and trajectories of droplets. Present results show that the column waves of a nonturbulent liquid jet in crossflow within bag breakup regime can be explained based on Rayleigh–Taylor instability. The number of nodes per bag affected the breakup mechanism of the bags. Three distinctive sizes of droplets were produced due the breakup of the bag membrane, the ring strings and the ring nodes. The size of the droplets resulting from the breakup of the bag membrane was constant independent of the crossflow Weber number. Finally different trajectories were observed for the three groups of droplets.     

含损伤演化的TM耦合数值模型及其应用研究

从岩石材料的细观结构层次出发，应用损伤力学和热弹性理论，对热力耦合作用下岩石破裂 过程中热－应力相互作用关系进行了分析. 初步建立了细观岩石热－力(TM)耦合数值模型， 探讨了TM耦合作用下岩石材料的细观结构损伤及其诱发的材料力学性能演化机制，把岩石 热固耦合问题的研究从应力状态分析深入到损伤、破坏过程分析之中. 运用该数值模型对某 硬岩实验室开展的原位尺度实验中的废料处理井间柱稳定性进行了模拟分析，其应力场、岩 石剥离破坏形态及破坏诱发的AE特性等均与实验监测结果表现出了较好的一致性，证 明了该数值模型的合理性和有效性.     

Bearing capacity of strip footings with horizontal confinementLa capacité portante des fondations superficielles en présence de parois rigides

For a strip footing under axial loading, the bearing capacity is influenced by the presence of rigid walls confining the foundation soil. This problem is investigated within the framework of the theory of yield design, considering both a perfectly rough and a frictionless contact condition at the interfaces with the walls in the case of a purely cohesive soil. Upper bounds for the correction factor to be applied to the classical value of the bearing capacity are determined, as functions of the non-dimensional geometric parameter of the problem, through the kinematic approach, implementing virtual velocity fields inspired from the solution to the problem of inverted extrusion. In the perfectly rough case, it appears that the new upper bound is a significant improvement of those already available. A very simple relationship is established, which derives the upper bound for the frictionless walls from the upper bound for the rough walls. A general conclusion of the analysis is that, for the values of the geometric parameter that are likely to be encountered in practice, the increase in the bearing capacity due to the presence of the rigid walls remains very small. To cite this article: J. Salençon, C. R. Mecanique 331 (2003).     

On the role of stress-induced migration on time-dependent terminal velocities of falling spheres

There is experimental evidence to suggest that even under steady-state conditions the velocity of solid spheres or bubbles moving through viscoelastic fluids can become time dependent. One of the possible explanations offered for interpreting this phenomenon has been the generation of a polymer depleted layer in the line of passage of the particles, which disappears due to the counterbalancing effect of molecular diffusion in the long range. We have done some careful experiments and measured these concentrations to show that no such depletion layers are formed. Alternative explanations of the phenomenon have been examined and the importance of the possible effects of microstructures generated through temporary associations has been emphasised.     

Anisotropic conduction of heat in a flowing polymeric material

In this paper a theory is presented which relates the thermal conductivity tensor of an amorphous polymeric material to the history of deformation of the material. The basis of the theory is formed by the network theory for polymeric materials. It will be shown that the results obtained here are in good agreement with experimental results on rubber. The effect of anisotropic heat conduction on the flow of a polymeric material will be demonstrated by the simple example of viscous heating in shear flow.Presented at the Golden Jubilee Conference of the British Society of Rheology and Third European Rheology Conference, Edinburgh, 3–7 September, 1990.     

复合柔性结构全局模态函数提取与状态空间模型构建

随着航空航天等领域中实际工程结构的大型化和柔性化,结构的非线性振动和主动振动控制问题越来越凸显.分析和处理此类结构出现的复杂振动问题的关键在于建立系统的非线性动力学模型与状态空间模型.对于由柔性部件、刚体、连接部件构成的复合柔性结构,由于各部件之间的振动耦合效应,单个柔性部件在悬臂、简支和自由等静定边界下的模态与结构的真实模态有较大差异.为此,本文提出复合柔性结构全局模态的解析提取方法,通过全局模态离散得到系统非线性动力学模型,从而构建状态空间模型.该方法采用笛卡尔坐标描述系统的运动,建立系统的运动方程;结合描述柔性部件的偏微分方程、刚体的常微分运动方程、连接界面处力、力矩、位移和转角的匹配条件以及系统的边界条件,利用分离变量法给出统一形式的频率方程,获取系统的固有频率和解析函数表征的全局模态.这里提出的全局模态提取方法不仅便于复合柔性结构固有频率和全局模态的参数化分析,而且为建立复合柔性结构低维非线性动力学模型和状态空间模型提供了有效的途径,对于推进这类结构的非线性动力学分析与主动振动控制研究具有重要意义.      

Transient removal of a contaminated fluid from a cavity

A numerical and experimental study of the time-dependent hydrodynamic removal of a contaminated fluid from a cavity on the floor of a duct is presented. The duct flow has a parabolic inlet velocity profile and laminar flows are considered in a Reynolds number range between 50 and 1600 based on the duct height. The properties of the contaminated cavity fluid are assumed to be the same as for the fluid flowing in the duct. Attention is focussed on the convective transport of contaminated fluid out from the cavity and the effect of duct flow acceleration on the cleaning process. Passive markers which are convected with the flow are used in the numerical simulation for the purpose of identifying the contaminated cavity fluid. It is shown that the cleansing of the cavity is more pronounced during the unsteady start-up of the duct flow and the rate of cleaning decreases as the flow reaches a steady state. The cleaning process is enhanced as the cavity aspect ratio is increased and as the duct Reynolds number increases. A ‘volumetric’ approach based on the spread of markers is shown to be useful in determining the fraction of the cavity that remains contaminated after steady conditions have been reached. The distribution of the contaminant in a cavity during the unsteady stage and after steady conditions are reached are identified using passive markers.     

纳米增强预浸料缠绕立管参数敏感性分析

复合材料立管结构参数与立管力学性能存在紧密的关联性,掌握设计参数对缠绕立管力学性能的影响规律非常必要．考虑缠绕工艺引起的孔隙缺陷,基于复合材料弹性理论及孔隙微观理论模型,构建了纳米增强预浸料缠绕立管形变模型;其次,采用局部敏感度分析法,分别讨论了缠绕立管应力与位移对孔隙含量、孔隙形状、纳米颗粒含量、纤维体积含量、缠绕层数、缠绕角度及内压的局部敏感性;最终,数值结果表明：孔隙含量对轴向应力的影响局部敏感性较强,在孔隙含量为2.8 %~3.2 %之间时,轴向应力的局部敏感性数值快速从负数增长到正值;而孔隙的引入,使得其它设计参数对立管应力与位移的局部敏感性数值的变化趋势无明显影响,但大大影响了敏感性的数值大小;此外,径向位移对孔隙、纳米颗粒含量等所有参数明显不敏感．     

AS LIGHT AS A BUTTERFLY,AS THIN AS A BEE-THE MYSTERY OF DRAGONFLIES BASED ON FLUID MECHANICS 1)

从鉴赏描写蜻蜓的古代诗词入手,介绍了蜻蜓这种经过亿万年进化昆虫的神奇流体力学特性。重点介绍了蜻蜓的复眼、蜻蜓翅膀消除振颤、蜻蜓表皮的超疏水与鳞片减阻、蜻蜓幼虫的喷水推进等力学特性及其对工程技术发展的重要启示,同时介绍了蜻蜓机器人的发展现状。