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Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics最新文献

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Naissance des corrélations triples de vorticité dans une turbulence statistiquement homogène soumise à une rotation 在受旋转影响的统计均匀湍流中产生三重涡度相关性
Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics Pub Date : 2001-05-01 DOI: 10.1016/S1620-7742(01)01338-1
Jean-Noël Gence, Christine Frick
{"title":"Naissance des corrélations triples de vorticité dans une turbulence statistiquement homogène soumise à une rotation","authors":"Jean-Noël Gence,&nbsp;Christine Frick","doi":"10.1016/S1620-7742(01)01338-1","DOIUrl":"10.1016/S1620-7742(01)01338-1","url":null,"abstract":"<div><p>A homogeneous and isotropic turbulence is suddenly subjected to a rigid body rotation, whose influence on the turbulent vorticity field is studied. It is shown that only the odd statistical moments are influenced by the rotation at the first order in time. This effect is shown in particular for triple correlations and should be more important for a small Rossby number.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 5","pages":"Pages 351-356"},"PeriodicalIF":0.0,"publicationDate":"2001-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1620-7742(01)01338-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91218481","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 22
Sur la nature de la transition à l'instationnaire d'un écoulement de convection naturelle en cavité différentiellement chauffée à grands écarts de température 在大温差差的空腔中，自然对流流向稳态过渡的性质
Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics Pub Date : 2001-05-01 DOI: 10.1016/S1620-7742(01)01330-7
Catherine Weisman, Laurent Calsyn, Christophe Dubois, Patrick Le Quéré
{"title":"Sur la nature de la transition à l'instationnaire d'un écoulement de convection naturelle en cavité différentiellement chauffée à grands écarts de température","authors":"Catherine Weisman,&nbsp;Laurent Calsyn,&nbsp;Christophe Dubois,&nbsp;Patrick Le Quéré","doi":"10.1016/S1620-7742(01)01330-7","DOIUrl":"10.1016/S1620-7742(01)01330-7","url":null,"abstract":"<div><p>Natural convection of air inside a rectangular cavity, differentially heated under large temperature gradients, is considered. The low Mach approximation equations are those obtained by Paolucci allowing for filtering of sound waves. Transition to unsteadiness is studied with numerical simulation, with a finite volume code based on a fractional time step method derived from projection methods used for incompressible flows. When the fluid physical properties are prescribed constants, transition to unsteadiness follows the classical scheme of a Hopf bifurcation. The transition is quite different when viscosity obeys Sutherland's law while the Prandtl number is kept constant. There is evidence of hysteresis, therefore the transition seems to be subcritical. In the vicinity of the transition, on the large amplitude branch, an intermittent solution is observed, with periodic bursts separating quasi-steady states.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 5","pages":"Pages 343-350"},"PeriodicalIF":0.0,"publicationDate":"2001-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1620-7742(01)01330-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82010227","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
Configurations polygonales en équilibre relatif 相对平衡下的多边形结构
Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics Pub Date : 2001-04-01 DOI: 10.1016/S1620-7742(01)01334-4
Dominique Bang, Badaoui Elmabsout
{"title":"Configurations polygonales en équilibre relatif","authors":"Dominique Bang,&nbsp;Badaoui Elmabsout","doi":"10.1016/S1620-7742(01)01334-4","DOIUrl":"10.1016/S1620-7742(01)01334-4","url":null,"abstract":"<div><p>We consider the <span><math><mtext>N</mtext></math></span>-body (<span><math><mtext>N=p·n</mtext></math></span>) problem (where the bodies are submitted to their mutual attractions derived from a potential of the type <span><math><mtext>V(r)=Cte/r</mtext><msup><mi></mi><mn>2α</mn></msup></math></span> where <span><math><mtext>0⩽α&lt;∞</mtext></math></span>). We prove the existence of relative equilibrium configurations (denoted C.E.R.) when the ponctual bodies are at the vertices of <span><math><mtext>p</mtext></math></span> regular polygons centered around a given mass <span><math><mtext>M</mtext></math></span>, the masses being equal on the vertices of each polygon. In the Newtonian case (<span><math><mtext>α=1/2</mtext></math></span>) we enrich the last result for values of n lower or equal than <span><math><mtext>472</mtext></math></span>.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 4","pages":"Pages 243-248"},"PeriodicalIF":0.0,"publicationDate":"2001-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1620-7742(01)01334-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78928923","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 13
Propagation of singularities along a characteristic boundary for a model problem of shell theory and relation with the boundary layer 壳理论模型问题特征边界上奇点的传播及其与边界层的关系
Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics Pub Date : 2001-04-01 DOI: 10.1016/S1620-7742(01)01324-1
Évariste Sanchez-Palencia
{"title":"Propagation of singularities along a characteristic boundary for a model problem of shell theory and relation with the boundary layer","authors":"Évariste Sanchez-Palencia","doi":"10.1016/S1620-7742(01)01324-1","DOIUrl":"10.1016/S1620-7742(01)01324-1","url":null,"abstract":"<div><p>We consider the propagation of singularities for a differential system which constitutes a simplified model of thin shells with developable middle surface (parabolic case). Extensions of the solutions out of the domain allow us to consider either boundary or internal singularities. The properties of propagation of singularities and their relation with the structure of the boundary layers are given. We remove a mistake in [2], Section 6.1, concerning the analyticity of solutions (in fact they are in the Gevrey class of order 3).</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 4","pages":"Pages 249-254"},"PeriodicalIF":0.0,"publicationDate":"2001-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1620-7742(01)01324-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89944319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Points singuliers d'une ligne de contact mobile
Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics Pub Date : 2001-04-01 DOI: 10.1016/S1620-7742(01)01335-6
Martine Ben Amar , Linda Cummings , Yves Pomeau
{"title":"Points singuliers d'une ligne de contact mobile","authors":"Martine Ben Amar ,&nbsp;Linda Cummings ,&nbsp;Yves Pomeau","doi":"10.1016/S1620-7742(01)01335-6","DOIUrl":"10.1016/S1620-7742(01)01335-6","url":null,"abstract":"<div><p>It is proposed to represent the dynamics of a moving contact line by an Onsager like mobility relation between the contact angle and the speed of the moving line, including an Arrhenius factor small enough in many physical situations to be the limiting factor for the motion. The liquid-vapor interface is then in quasiequilibrium, which allows one to analyse a dynamical wetting transition. This approach predicts well the formation of angular points on the rear edge of droplets sliding on a tilted plane.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 4","pages":"Pages 277-282"},"PeriodicalIF":0.0,"publicationDate":"2001-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1620-7742(01)01335-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78610608","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
Modélisation du bolus urétéral humain 人体输尿管丸的模型
Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics Pub Date : 2001-04-01 DOI: 10.1016/S1620-7742(01)01333-2
Daniel Gintz , Badaoui Elmabsout , Jean-Pierre Renaudeaux
{"title":"Modélisation du bolus urétéral humain","authors":"Daniel Gintz ,&nbsp;Badaoui Elmabsout ,&nbsp;Jean-Pierre Renaudeaux","doi":"10.1016/S1620-7742(01)01333-2","DOIUrl":"10.1016/S1620-7742(01)01333-2","url":null,"abstract":"<div><p>We propose an improvement of the bolus passive viscoelastic wall model [1], by adding an active muscular layer situated on the internal side of the wall. This new model permits, for a suitable choice of the active force, to obtain analytically a closed bolus on its two ends and to get a close approach of the medical observations.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 4","pages":"Pages 303-306"},"PeriodicalIF":0.0,"publicationDate":"2001-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1620-7742(01)01333-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81775699","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Une analyse micromécanique 3-D de l'endommagement par mésofissuration 中观损伤的三维显微力学分析
Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics Pub Date : 2001-04-01 DOI: 10.1016/S1620-7742(01)01340-X
Vincent Pensée, Djimédo Kondo
{"title":"Une analyse micromécanique 3-D de l'endommagement par mésofissuration","authors":"Vincent Pensée,&nbsp;Djimédo Kondo","doi":"10.1016/S1620-7742(01)01340-X","DOIUrl":"10.1016/S1620-7742(01)01340-X","url":null,"abstract":"<div><p>A micromechanical analysis of brittle damage is proposed. This analysis consists of a 3-D generalization of the study performed by Andrieux et al. In this approach, the macroscopic free energy for open microcracks and frictionless closed microcracks is built. The conditions for unilateral contact (opening/closure criterion, elastic moduli recovery) are also presented. The proposed construction ensures at the macroscopic level the symmetry of the elastic stiffness tensor and the continuity of stress at the damage deactivation.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 4","pages":"Pages 271-276"},"PeriodicalIF":0.0,"publicationDate":"2001-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1620-7742(01)01340-X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85830909","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 23
Perturbation tridimensionnelle d'une couche limite de Blasius Blasius边界层的三维扰动
Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics Pub Date : 2001-03-01 DOI: 10.1016/S1620-7742(01)01310-1
Jean Cousteix , Jean-Philippe Brazier , Jacques Mauss
{"title":"Perturbation tridimensionnelle d'une couche limite de Blasius","authors":"Jean Cousteix ,&nbsp;Jean-Philippe Brazier ,&nbsp;Jacques Mauss","doi":"10.1016/S1620-7742(01)01310-1","DOIUrl":"10.1016/S1620-7742(01)01310-1","url":null,"abstract":"<div><p>The three-dimensional perturbation of a Blasius boundary layer induced by a small hump (or a trough) placed at the wall is studied for a Reynolds number going to infinity. For certain dimensions of the hump, a four deck structure is obtained. The main features of this structure are described.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 3","pages":"Pages 213-219"},"PeriodicalIF":0.0,"publicationDate":"2001-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1620-7742(01)01310-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78314519","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Modélisation des incertitudes aléatoires en élastodynamique transitoire 瞬态弹性动力学中的随机不确定性建模
Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics Pub Date : 2001-03-01 DOI: 10.1016/S1620-7742(01)01307-1
Christian Soize
{"title":"Modélisation des incertitudes aléatoires en élastodynamique transitoire","authors":"Christian Soize","doi":"10.1016/S1620-7742(01)01307-1","DOIUrl":"10.1016/S1620-7742(01)01307-1","url":null,"abstract":"<div><p>A new nonparametric probabilistic approach is presented for modeling random uncertainties in transient linear elastodynamics. The information used does not require a description of the local parameters of the mechanical model. The probability model is constructed in the generalized coordinates associated with the elastic eigenmodes. The available information is constituted of the algebraic properties of the generalized mass, damping and stiffness matrices which have to be positive-definite symmetric matrices, and the knowledge of these matrices for the mean reduced matrix model. The convergence of the stochastic solution with respect to the dimension of the random reduced matrix model is analysed.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 3","pages":"Pages 225-230"},"PeriodicalIF":0.0,"publicationDate":"2001-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1620-7742(01)01307-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81660562","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Numerical simulation of the sedimentation of an elliptic body in an incompressible viscous fluid 椭圆体在不可压缩粘性流体中沉降的数值模拟
Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics Pub Date : 2001-03-01 DOI: 10.1016/S1620-7742(01)01306-X
L.Héctor Juárez V.
{"title":"Numerical simulation of the sedimentation of an elliptic body in an incompressible viscous fluid","authors":"L.Héctor Juárez V.","doi":"10.1016/S1620-7742(01)01306-X","DOIUrl":"https://doi.org/10.1016/S1620-7742(01)01306-X","url":null,"abstract":"<div><p>In this note we discuss the application of a methodology combining distributed Lagrange multiplier based fictitious domain techniques, finite element approximations and operator splitting, to the numerical simulation of the motion of an elliptic body falling in a Newtonian incompressible viscous fluid. The motion of the body is driven by the hydrodynamical forces and gravity. As qualitatively expected, the elliptic body rotates so that its broad side tends to be perpendicular to the flow direction.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 3","pages":"Pages 221-224"},"PeriodicalIF":0.0,"publicationDate":"2001-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1620-7742(01)01306-X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136554641","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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