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Correspondence between de Saint-Venant and Boussinesq 5: Viscosity and hydraulic resistance 圣维南与布西内斯克的对应关系5:粘度和水力阻力
IF 0.8 4区 工程技术 Q4 MECHANICS Pub Date : 2021-03-17 DOI: 10.5802/CRMECA.71
W. Hager, K. Hutter, O. Castro-Orgaz
Fluid viscosity is a main feature of fluids; an inviscid fluid does not exist even though a large number of theories has been advanced for flows of such fluids. The velocity of fluid flow may considerably be reduced due to the presence of fluid viscosity both for laminar and turbulent flows. The letters exchanged between de Saint-Venant (dSV) and Boussinesq mainly refer to laminar flow. The most peculiar statement of dSV is that, if the flow in a typical lowland river would be laminar, its velocity would be larger than the speed of sound. It is evident that this statement is wrong because laminar flow has stringent limitations typically expressed by the Reynolds number. The hydraulic resistance is another peculiar feature in hydrodynamics, given that several theories have been advanced which do not at all reflect the everyday experience. One of these is the d’Alembert paradox, stating that the resistance is equal to zero for a steady flow of an inviscid and incompressible fluid. Typically, a body suspended in a large pipe is considered. Applying the momentum equation in the axial direction sufficiently upand downstream of the body, the resistance would indeed become zero, as occurs for potential flows. Again, this is far away from everybody’s experience, such as for a swimmer or a walker under heavy
流体粘度是流体的主要特征;无粘流体并不存在,尽管对于这种流体的流动已经提出了大量的理论。对于层流和湍流,由于流体粘度的存在,流体的流动速度可能大大降低。圣维南(dSV)和布西内斯克的书信往来主要涉及层流。dSV最奇特的说法是,如果一条典型的低地河流中的水流是层流,那么它的速度将大于声速。显然,这种说法是错误的,因为层流有严格的限制,通常用雷诺数表示。水力阻力是流体力学中另一个奇特的特征,因为已经提出的一些理论根本不能反映日常经验。其中之一是达朗贝尔悖论,它指出,在无粘性和不可压缩流体的稳定流动中,阻力等于零。通常,考虑一个悬挂在大管道中的物体。将动量方程应用于物体的轴向上和下游,阻力确实会变为零,正如发生在势流中的情况一样。同样,这与每个人的经验相差甚远,例如对于游泳者或在重压下行走的人
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引用次数: 0
A hybrid piezoelectric–electromagnetic nonlinear vibration energy harvester excited by fluid flow 一种流体激励下的压电-电磁混合非线性振动能量采集器
IF 0.8 4区 工程技术 Q4 MECHANICS Pub Date : 2021-03-04 DOI: 10.5802/CRMECA.74
M. Hafizh, A. Muthalif, J. Renno, M. R. Paurobally, M. Arab, I. Bahadur, H. Ouakad
Energy harvesting mechanisms can be used to extract energy from ambient surroundings to power small electronic devices, which has a significant advantage in realizing self-sustaining wireless devices. The proposed design of this study uses the internal fluid flow within a pipe and takes advantage of the fluid– structure interaction through flow-induced vibration of a bluff body. The hybrid harvester uses the vibration to convert electrical energy through a piezoelectric material and an electromagnetic oscillator that can be tuned to resonate at the oscillation frequency. A numerical solver was used to estimate harvestable voltage for this submerged hybrid energy harvester model by using ordinary differential equations. A computational study was used to optimize the performance of the bluffbodies under the influence of the vortices for circular, triangular, ellipse, and quadrilateral shapes. Wake development was seen in the circular and triangular shapes with the ellipse having the lowest turbulence kinetic energy among the shapes. Structural deflection of the beam under resonance was compared for the different shapes, which displayed better results for triangular and elliptical bluff bodies.
能量收集机构可以从周围环境中提取能量,为小型电子设备供电,这对于实现自我维持的无线设备具有显著的优势。本研究提出的设计利用管道内部流体流动,并利用钝体流激振动的流固相互作用。混合收割机利用振动通过压电材料和电磁振荡器转换电能,该电磁振荡器可调谐以在振荡频率上产生共振。利用常微分方程,采用数值求解方法对该混合式能量采集器模型的可采集电压进行估计。通过计算研究,优化了圆形、三角形、椭圆形和四边形等不同形状的涡流对崖体性能的影响。圆形和三角形尾迹发展明显,其中椭圆尾迹湍流动能最低。比较了不同形状的梁在共振作用下的结构挠度,三角形钝体和椭圆钝体效果较好。
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引用次数: 8
Asymptotic approach to a rotational Taylor swimming sheet 旋转泰勒游泳片的渐近逼近
IF 0.8 4区 工程技术 Q4 MECHANICS Pub Date : 2021-03-04 DOI: 10.5802/CRMECA.75
G. Corsi
The interaction of a viscous fluid and a circular, pre-stressed active shell is studied in the limit of low Reynolds numbers. A seminal paper of Taylor represents a benchmark for this class of problems. Here, inspired by the same approach, we determine with asymptotic techniques the possible swimming motions of the shell for the particular changes of curvature that it can achieve when actuated. We confirm numerical results obtained previously, and highlight the structure of a problem that turns out to be similar to that of Taylor, and as such represents a simple example of Stokesian swimming.
在低雷诺数极限下,研究了粘性流体与圆形预应力活动壳的相互作用。泰勒的一篇开创性论文代表了这类问题的基准。在这里,受相同方法的启发,我们用渐近技术确定了壳在被驱动时曲率的特定变化下可能的游动运动。我们确认了之前得到的数值结果,并强调了一个问题的结构,这个问题与泰勒的问题相似,因此代表了斯托克游泳的一个简单例子。
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引用次数: 0
A contribution to the modelling of creep behaviour of FCC metals 对FCC金属蠕变行为建模的贡献
IF 0.8 4区 工程技术 Q4 MECHANICS Pub Date : 2021-03-04 DOI: 10.5802/CRMECA.76
A. Maati, E. Ouakdi, L. Tabourot, P. Balland
In this paper, a new modelling is proposed to describe the viscoplastic behaviour of face-centred cubic (FCC) metals. Creep tests under various conditions were performed. The material chosen to test the model is Al-1050. The plastic deformation is controlled by intragranular diffusion when the test temperature exceeds 0.4Tm . The developed model involves two state variables related to the microstructure: dislocation density and subgrain size. The grain size is assumed to be constant in the intermediate temperature range. Validation tests were proposed to justify the reliability of the developed model in various loading conditions.
本文提出了一种新的模型来描述面心立方(FCC)金属的粘塑性行为。进行了各种条件下的蠕变试验。测试模型选用的材料为Al-1050。当试验温度超过0.4Tm时,塑性变形受晶内扩散控制。该模型包含与微观结构相关的两个状态变量:位错密度和亚晶粒尺寸。在中等温度范围内,假设晶粒尺寸是恒定的。提出了验证试验来证明所开发的模型在各种加载条件下的可靠性。
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引用次数: 0
Evaluation of an optimized bush fire propagation model with large-scale fire experiments 基于大尺度火灾实验的优化丛林火灾传播模型评价
IF 0.8 4区 工程技术 Q4 MECHANICS Pub Date : 2021-03-04 DOI: 10.5802/CRMECA.77
David V. Brou, A. B. N’Dri, A. Brou, Aya Brigitte N’Drib, A. B. N’Dri
Thirty-one bush fire experiments are used to assess the predictive capability of a bush fire spread model. This model has been optimized by a deterministic method of parameter calibration. The experiments used were carried out each year from 2014 to 2017 in a forest–savannah transition zone. The characteristics of the herbaceous stratum as well as the meteorological and topographical data are well documented. The characteristics of the fire have also been measured to understand the behaviour of the fire in a Guinean savannah. The predicted rate of fire spread and fire contours gave results in good accordance with those of the experiments. Résumé. Trente et une (31) expériences de feu de brousse ont été utilisées pour évaluer la capacité prédictive d’un modèle de propagation de feux de brousse. Ce modèle a été optimisé par une méthode déterministe de calibrage des paramètres. Les expériences utilisées ont été réalisées chaque année de 2014 à 2017 dans une zone de transition forêt savane. Les caractéristiques de la strate herbacée ainsi que les données météorologiques et topographiques ont été bien documentées. Les caractéristiques du feu ont été également mesurées pour comprendre le comportement du feu dans une savane Guinéenne. Les vitesses de propagation et les contours de feux prédits ont donné des résultats en bon accord avec ceux des expériences.
通过31次丛林火灾试验,对该模型的预测能力进行了评价。采用确定性参数定标法对模型进行了优化。所使用的实验从2014年到2017年每年在森林-草原过渡区进行。草本层的特征以及气象和地形资料都有很好的记录。还测量了火灾的特征,以了解几内亚大草原火灾的行为。预测的火灾蔓延速度和火灾轮廓线与实验结果吻合较好。的简历。Trente et une(31)的实验表明,在交换交换条件下,交换交换条件下,交换交换条件下,交换交换条件下,交换交换条件下,交换交换条件下的交换交换条件。modere a sametest - optimisis = une sametthode dsametiste de calibrage des parpartres。经验,利用,薪金,薪金,薪金,薪金,薪金,薪金,薪金,薪金,薪金,薪金,薪金,薪金,薪金,薪金,薪金,薪金,薪金,薪金,薪金,薪金,薪金,薪金,薪金,薪金,薪金,薪金,薪金,薪金,薪金莱斯的特性de la strate herbacee依照ainsi变量的数据meteorologiques et topographiques高频好documentees。“caracacacimristiques du feu”和“acacacimacement measures”和“acacacimacement measures”都可以理解为“acacacimacrestiques du feu”和“savane guinacemoenne”。传播的过程、传播的过程、传播的过程、传播的过程、传播的过程、传播的过程、传播的过程、传播的过程、传播的过程、传播的过程、传播的过程。
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引用次数: 0
Analysis on mechanical properties and evolution of mesostructure of soil–rock mixture samples from contact network perspective 接触网络视角下土石混合体试样力学特性及细观结构演化分析
IF 0.8 4区 工程技术 Q4 MECHANICS Pub Date : 2021-03-04 DOI: 10.5802/CRMECA.73
Ran Xu, E. Liu, H. Xing
Based on discrete element method (DEM), three kinds of soil–rock mixture (SRM) models with different coarse particle contents were established and triaxial compression tests were carried out. The results show that the force chains in the particle system playing the main bearing role need more lateral supports, which results in the contact with a higher coordination number and often bear larger contact force. The relationship between the contact’s carrying capacity and the coordination number can be fit by a quadric surface. Taking the fit quadric surface as the capacity function, the network-flow model of force transfer can be constructed to quantify the force transfer ability of a contact network. By connecting the maximum flow in the network with the hardening parameter of the unified hardening model, the stress–strain relationship of SRM can be predicted to some extent, which lays a basis for formulating micro–macro constitutive model for granular materials.
基于离散元法(DEM),建立了3种不同粗粒含量的土石混合体模型,并进行了三轴压缩试验。结果表明:在起主要承载作用的颗粒体系中,力链需要更多的横向支撑,从而导致接触配位数更高,承受的接触力往往更大;接触面承载力与配位数之间的关系可以用二次曲面拟合。以拟合二次曲面为容量函数,可以建立力传递的网络流模型,量化接触网络的力传递能力。通过将网络中的最大流量与统一硬化模型的硬化参数联系起来,可以在一定程度上预测颗粒材料的应力-应变关系,为建立颗粒材料的微观-宏观本构模型奠定基础。
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引用次数: 2
On the Eringen model for nematic liquid crystals 论向列液晶的Eringen模型
IF 0.8 4区 工程技术 Q4 MECHANICS Pub Date : 2021-02-05 DOI: 10.5802/CRMECA.67
G. Chechkin, T. Ratiu, M. Romanov
We introduce the three-dimensional Eringen system of equations for the nematodynamics of liquid crystals, announce the short time existence and uniqueness of strong solutions for the one-dimensional problem in the periodic case, and show the continuous dependence of the solution on the initial data. Résumé. Nous présentons le système tridimensionnel d’équations d’Eringen pour la nématodynamique des cristaux liquides, annonçons l’existence en temps et l’unicité de solutions fortes pour le problème unidimensionnel dans le cas périodique et montrons la dépendance continue de la solution sur les données initiales.
本文介绍了液态晶体线粒体动力学的三维Eringen方程组,说明了周期情况下一维问题强解的短期存在性和唯一性,并说明了解对初始数据的连续依赖性。摘要。给出了液晶线形动力学的三维eringen方程组,给出了周期情况下一维问题强解的时间存在性和唯一性,并给出了解对输入数据的连续依赖关系。
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引用次数: 1
About Tresca’s Memoirs on the fluidity of solids (1864–1870) 关于特雷斯卡关于固体流动性的回忆录(1864-1870)
IF 0.8 4区 工程技术 Q4 MECHANICS Pub Date : 2021-02-05 DOI: 10.5802/CRMECA.69
J. Salençon
One hundred and fifty years ago, Henri-Édouard Tresca submitted a series of Memoirs to the French Academy of Sciences, which were devoted to recording the extensive series of experiments he had carried out. In these experiments, he had investigated punching, rolling, forging, stamping and extruding processes of various materials, and he had definitely identified a phenomenon that he called the “fluidity” of solids subjected to very high pressures. In addition to the precise description of his experiments, he proposed a mechanical theory for the observed phenomenon. In this theory, the concepts now called yield criterion and plastic flow rule were introduced for the first time.
150年前,亨利-Édouard特雷斯卡向法国科学院提交了一系列回忆录,这些回忆录专门记录了他进行的一系列广泛的实验。在这些实验中,他研究了各种材料的冲压、轧制、锻造、冲压和挤压过程,并明确地发现了一种他称之为固体在高压下的“流动性”的现象。除了对他的实验进行精确的描述外,他还为观察到的现象提出了一个力学理论。在这一理论中,首次引入了现在称为屈服准则和塑性流动准则的概念。
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引用次数: 0
Exact results for weakly nonlinear composites and implications for homogenization methods 弱非线性复合材料的精确结果及其对均匀化方法的启示
IF 0.8 4区 工程技术 Q4 MECHANICS Pub Date : 2021-01-13 DOI: 10.5802/CRMECA.66
J. Furer, M. I. Idiart, Pedro Ponte Castañeda
Weakly nonlinear composite conductors are characterized by position-dependent dissipation potentials expressible as an additive composition of a quadratic potential and a nonquadratic potential weighted by a small parameter. This additive form carries over to the effective dissipation potential of the composite when expanded to first order in the small parameter. However, the first-order correction of this asymptotic expansion depends only on the zeroth-order values of the local fields, namely, the local fields within the perfectly linear composite conductor. This asymptotic expansion is exploited to derive the exact effective conductivity of a composite cylinder assemblage exhibiting weak nonlinearity of the power-law type (i.e., power law with exponent m = 1+δ, such that |δ| ¿ 1), and found to be identical (to first order in δ) to the corresponding asymptotic result for sequentially laminated composites of infinite rank. These exact results are used to assess the capabilities of more general nonlinear homogenization methods making use of the properties of optimally selected linear comparison composites.
弱非线性复合导体具有位置相关耗散势的特征,耗散势可表示为二次势和由小参数加权的非二次势的加性组合。当在小参数下展开到一阶时,这种加性形式延续到复合材料的有效耗散势。然而,这种渐近展开的一阶修正仅依赖于局部场的零阶值,即完全线性复合导体内的局部场。利用这一渐近展开式推导出具有幂律型弱非线性(即幂律m = 1+δ,使得|δ|¿1)的复合材料圆柱组合的精确有效电导率,并发现其与无限阶序层合复合材料的相应渐近结果相同(δ为一阶)。这些精确的结果被用来评估更一般的非线性均匀化方法的能力,利用最佳选择的线性比较复合材料的特性。
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引用次数: 1
Deterministic optimization techniques to calibrate parameters in a wildland fire propagation model 林地火灾传播模型参数标定的确定性优化技术
IF 0.8 4区 工程技术 Q4 MECHANICS Pub Date : 2020-12-14 DOI: 10.5802/crmeca.58
M. H. Tchiekre, A. Brou, J. Adou
To fight against forest fires, simple and improved models are more searched out due to the fact they are more easily understandable by the users. This actual model is part of the fire propagation models within a network. It is simple and easy to implement. However, it depends on several parameters that are difficult to measure or estimate precisely beforehand. The prediction by this model is therefore insufficient. A deterministic optimization method is introduced to calibrate its parameters. The optimized model was tested on several laboratory experiments and on two large-scale experimental fires. The comparison of the model results with those of the experiment shows a very significant improvement in its prediction with the optimal parameters. Résumé. Dans la lutte contre les feux de forêt, les modèles simples et améliorés sont plus recherchés car plus aisément compréhensibles par les utilisateurs. Le présent modèle fait partie des modèles de propagation de feu à l’intérieur d’un réseau. Il est simple et facile à mettre en œuvre. Cependant, il dépend de plusieurs paramètres difficiles à mesurer ou à estimer avec précision au préalable. La prédiction par ce modèle est de ce fait insuffisante. Par conséquent, une méthode déterministe d’optimisation est introduite pour calibrer ses paramètres. Le modèle optimisé a été testé sur plusieurs feux de laboratoires et sur deux feux expérimentaux à grande échelle. La comparaison des résultats du modèle avec ceux de l’expérience montre une amélioration très significative de sa prédiction avec les paramètres optimaux.
为了对抗森林火灾,简单和改进的模型被更多地寻找,因为它们更容易被用户理解。这个实际模型是网络内火焰传播模型的一部分。它简单且易于实现。然而,它取决于几个难以事先精确测量或估计的参数。因此,这个模型的预测是不够的。引入了一种确定性优化方法对其参数进行标定。优化后的模型进行了多次室内试验和两次大型火灾试验。将模型结果与实验结果进行了比较,结果表明,在最优参数下,模型的预测精度有了很大提高。的简历。简单的模数,简单的模数,简易的模数,简易的模数,简易的模数,简易的模数,简易的模数,简易的模数,简易的模数,简易的模数,简易的模数,简易的模数,简易的模数,简易的模数,简易的模数,简易的模数,简易的模数,简易的模数,简易的模数。“你的前程是什么?”“前程是什么?”“前程是什么?”这将是简单的,方便的,如:米或œuvre。在此之前,人们很难测量或估计到是否可以测量或估计到是否可以测量。对模型的预测是不充分的。与此同时,将所有的调校器与调校器的调校器相结合,将调校器与调校器结合。“乐观主义模式”是指在实验室和实验的基础上,通过“乐观主义模式”和“大模数”进行的实验。从比较的角度看,比较的角度看,比较的角度看,比较的角度看,比较的角度看,比较的角度看,比较的角度看,比较的角度看,比较的角度。
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引用次数: 1
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Comptes Rendus Mecanique
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