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

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Similarity solution of a penny-shaped fluid-driven fracture in a zero-toughness linear elastic solid 零韧性线弹性固体中硬币型流体驱动裂缝的相似解
Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics Pub Date : 2001-04-01 DOI: 10.1016/S1620-7742(01)01323-X
Alexei Savitski, Emmanuel Detournay
{"title":"Similarity solution of a penny-shaped fluid-driven fracture in a zero-toughness linear elastic solid","authors":"Alexei Savitski,&nbsp;Emmanuel Detournay","doi":"10.1016/S1620-7742(01)01323-X","DOIUrl":"10.1016/S1620-7742(01)01323-X","url":null,"abstract":"<div><p>This note deals with the problem of a penny-shaped hydraulic fracture propagating in an impermeable elastic solid. Growth of the fracture is driven by injection of an incompressible Newtonian fluid at the center of the fracture. The solution is restricted to the so-called viscosity-dominated regime where it can be assumed that the solid has zero toughness. The paper describes the construction of a semi-analytical similarity solution, which incorporates the known singularity of the fluid pressure at the center of the fracture and at the tip and which is based on series expansions of the fracture opening and fluid pressure in terms of Jacobi polynomials.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 4","pages":"Pages 255-262"},"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)01323-X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77767275","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
Analyse mécanique par une méthode hybride du comportement d'un matériau revêtu sollicité en fretting 用混合方法分析涂层材料在摩擦作用下的力学行为
Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics Pub Date : 2001-04-01 DOI: 10.1016/S1620-7742(01)01320-4
Isabelle Caron , Jean-Michel De Monicault , Robert Progri , Geneviève Inglebert
{"title":"Analyse mécanique par une méthode hybride du comportement d'un matériau revêtu sollicité en fretting","authors":"Isabelle Caron ,&nbsp;Jean-Michel De Monicault ,&nbsp;Robert Progri ,&nbsp;Geneviève Inglebert","doi":"10.1016/S1620-7742(01)01320-4","DOIUrl":"10.1016/S1620-7742(01)01320-4","url":null,"abstract":"<div><p>The present note describes the process settled for analysis of coated contacts submitted either to a normal load or a tangential one. This hybrid method uses a Finite Element Method in addition to the experimental results. Effects of a soft coating and a hard layer are studied on elastic contact parameters (F.E.M.), and on the resistance to fretting fatigue (experimentation + F.E.M.). The use of Dang Van criterion allows us to determine the crack initiation threshold.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 4","pages":"Pages 263-269"},"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)01320-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84078637","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
Naissance de la convection dans une cavité poreuse 3D soumise à des vibrations de hautes fréquences 对流在三维多孔腔中产生，受到高频振动的影响
Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics Pub Date : 2001-04-01 DOI: 10.1016/S1620-7742(01)01327-7
Gérald Bardan, Grégory Pinaud, Abdelkader Mojtabi
{"title":"Naissance de la convection dans une cavité poreuse 3D soumise à des vibrations de hautes fréquences","authors":"Gérald Bardan,&nbsp;Grégory Pinaud,&nbsp;Abdelkader Mojtabi","doi":"10.1016/S1620-7742(01)01327-7","DOIUrl":"10.1016/S1620-7742(01)01327-7","url":null,"abstract":"<div><p>Analytical techniques are used to study the onset of convection in three-dimensional boxes of fluid saturated porous material heated from below and subjected to vertical high-frequency vibration. Increasing the vibration amplitude delays the onset of convection and may even create subcritical solutions so as generate different structures of flows.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 4","pages":"Pages 283-286"},"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)01327-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90713068","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: 1
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
Interaction d'un gaz polyatomique avec une paroi : expression du noyau 多原子气体与壁的相互作用:核的表达
Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics Pub Date : 2001-03-01 DOI: 10.1016/S1620-7742(01)01318-6
J.Gilbert Méolans, Loı̈c Aufrère
{"title":"Interaction d'un gaz polyatomique avec une paroi : expression du noyau","authors":"J.Gilbert Méolans,&nbsp;Loı̈c Aufrère","doi":"10.1016/S1620-7742(01)01318-6","DOIUrl":"10.1016/S1620-7742(01)01318-6","url":null,"abstract":"<div><p>We suggest a new expression of the scattering kernel for a polyatomic gas lying in the Knudsen layer when impinging on the wall. We consider a vibrational strong non-equilibrium case for the gas. The global scatterring kernel is a linear combination of partial operators describing the reflection of the various mode of energy. The scattering kernel allows to write a consistent boundary condition for the kinetic equation of polyatomic molecules.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 3","pages":"Pages 201-205"},"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)01318-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72837619","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
On two-scale homogenized equations of one-dimensional nonlinear thermoviscoelasticity with rapidly oscillating nonsmooth data☆ 具有快速振荡非光滑数据的一维非线性热粘弹性双尺度均匀化方程
Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics Pub Date : 2001-03-01 DOI: 10.1016/S1620-7742(01)01312-5
Andrey Amosov, Alexander Zlotnik
{"title":"On two-scale homogenized equations of one-dimensional nonlinear thermoviscoelasticity with rapidly oscillating nonsmooth data☆","authors":"Andrey Amosov,&nbsp;Alexander Zlotnik","doi":"10.1016/S1620-7742(01)01312-5","DOIUrl":"10.1016/S1620-7742(01)01312-5","url":null,"abstract":"<div><p>We study the initial-boundary value problem for a system of quasilinear equations of one-dimensional nonlinear thermoviscoelasticity with rapidly oscillating nonsmooth coefficients and initial data. We rigorously justify the passage to the corresponding limit initial-boundary value problem for a system of two-scale homogenized integro-differential equations, including the existence theorem for the limit problem. The results are global with respect to the time interval and the data.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 3","pages":"Pages 169-174"},"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)01312-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86019745","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
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