Laboratoire de mécanique des solides

Publications

Publications

2000

  • La bonne tension des cordes
    • Luong Minh-Phong
    Revue européenne des textiles à usages techniques, sports et loisirs, 2000, 36, pp.48-50.
  • On Prandl's lifting equation arising in wear mechanics
    • Dragon-Louiset Marta
    • Bui Hui Duong
    • Stolz Claude
    Archives of Mechanics, 2000, 52 (4-5), pp.547-567. A sliding wear contact between a rigid punch and an elastic half plane in presence of a thin aggregate film composed of solid debris and a lubricant fluid is studied. The model based on any wear criterion and constitutive law of the film suggested by micromechnanics approximations. The mechanical system is governed by the evolution of the volume fraction of debris, considered as an internal state variable. The key step iterative computations for solving the non linear system of equations is based on the solution of the fundamental integro-differential equation for the compressive normal stress. Uniqueness of the solution of the integrodifferential equation is then proved. It is shown that there is a profound relationship between the latter equation and Prand'l lifting equation in aerodynamics : both equations cn be solved by Chebyshev's series, and experimentally by similar elaectrical setups. Mathematically, it is found that both equations are related to real and imaginary components of some complex potential, respectively, and to weakly adjoint integro-differential oprators.
  • An example of stick-slip waves
    • Moirot Franck
    • Son Nguyen Quoc
    Comptes Rendus de l'Academie des Sciences Serie II, Gauthier-Villars, 2000, 328, pp.663-669. An analytical solution representing a family of stick-slip waves is obtained in a simple example modeling the dynamic behaviour of an elastic tube in contact with Coulomb friction with a rigid rotating cylinder. This family of waves represents the auto-excited periodic responses of the system. (10.1016/S1620-7742(00)01238-1)
    DOI : 10.1016/S1620-7742(00)01238-1
  • Low cycle fatigue behaviour of β treated zirconium: partial irreversibility of twinning and consequences for damage
    • Crépin Jérôme
    • Bretheau Thierry
    • Caldemaison Daniel
    • Ferrer Franck
    Acta Materialia, Elsevier, 2000, 48, pp.505-516. The aim of this study is to understand the low cycle fatigue behaviour of β treated zirconium. It focuses especially on the contribution of twinning mechanisms. In situ fatigue tests performed inside a scanning electron microscope allow the observation of the activation of twins and their partial reversibility, depending on the applied stress. Moreover, the acoustic signature (shape factor) of the different twinning systems has been characterized allowing the following of inception and evolution of twins during the fatigue tests. Finally, the consequence of such a partial irreversibility on damage and crack localization is shown. (10.1016/S1359-6454(99)00358-4)
    DOI : 10.1016/S1359-6454(99)00358-4
  • A discrete dislocation model of Stage I fatigue crack growth and an analysis of Stage II to Stage I transition at low ΔK<sub>1</sub>
    • Doquet Véronique
    Journal de Physique IV Proceedings, EDP Sciences, 2000, 10 (PR6), pp.145-150. Simulations of dislocations nucleation and glide ahead of a crystallographic mode II crack are performed for push-pull and reversed torsion. An influence of the normal stress on the friction of crack flanks, as well as on the condition for dislocation emission is introduced. The crack growth rates are deduced from the dislocation fluxes at the crack tip. A comparison between the loading modes is made. Taking into account the presence of grain boundaries, the repeated decelerations and sometimes the arrest that characterise Stage I crack growth are described by the model. An analysis of the transition from mode I to mode II crack growth observed at low ΔK<sub>1</sub> in single crystals is proposed. (10.1051/jp4:2000625)
    DOI : 10.1051/jp4:2000625
  • Deriving adequate formulations for fluid-structure interaction problems : from ALE to transpiration
    • Fanion Thierry
    • Fernández Miguel Angel
    • Le Tallec Patrick
    Revue Européenne des Éléments Finis, HERMÈS / LAVOISIER, 2000, 9 (6-7), pp.681-708. Most formulations describing low speed large displacements fluid-structure interaction problems use a totally lagrangian formulation for the structure, and an Arbitrary Euler Lagrange (ALE) formulation for the fluid. The purpose of the present paper is to review the derivation of such formulations, to describe different time discretisation strategies and to explain the type of numerical problems which arise when implementing these techniques. To overcome all technical difficulties arising when dealing with moving grids, we will also explain how an adequate asymptotic expansion can reduce the problem to a standard problem written on a fixed conf iguration, but using specific transpiration interface boundary conditions. This last formulation is rather popular in the aeronautical community, and will be illustrated by various numerical experiments. (10.1080/12506559.2000.10511481)
    DOI : 10.1080/12506559.2000.10511481
  • Etude expérimentale du comportement dynamique des matériaux
    • Gary Gérard
    • Zhao H.
    Mechanics & Industry, EDP Sciences, 2000, 1, pp.15-26. Le présent document rappelle la problématique des essais dynamiques, en particulier lorsqu'ils ont pour objet d'étudier le comportement des matériaux. Une attention particulière est portée au système des barres de Hopkinson en raison de son utilisation fréquente dans une gamme de vitesses de déformation allant de 50/s à 5000/s qui correspond à la gamme de vitesses de la plupart des applications industrielles civiles. On rappelle le principe de la mesure telle qu'elle est effectuée avec ce système, ses limites et ses points forts. Elle est ensuite illustrée par quelques résultats typiques obtenus sur divers matériaux et sur des structures à échelle réduite.
  • Thermographie infrarouge des bétons et des structures en bétons
    • Luong M. P.
    , 2000. No abstract provided
  • Modeling of the thermomechanical behaviour of a 7xxx aluminum alloy in welding conditions
    • Aubert S.
    • Archambault P.
    • Stolz Claude
    • Petitpas E.
    , 2000.
  • Using full or partial geometrical symmetry in symmetric Galerkin BEM formulations
    • Bonnet Marc
    , 2000.
  • Identification d'une distribution axisymétrique de contraintes de contact élastique
    • Ben Abdallah Jallel
    • Bonnet Marc
    , 2000.
  • Influence des contraintes résiduelles sur le comportement à la fissuration de dépôts de chrome élaboré par PVD
    • Ganne T.
    • Crépin Jérôme
    • Zaoui A.
    , 2000. No abstract provided
  • A back analysis method based on virtual work principle - application to some geotechnical problems
    • Deng Desheng
    • Nguyen Minh Duc
    , 2000, pp.1339-1346. A back analysis method for geotechnical problems has been proposed on the basis of the Virtual Work Principle, in which the original structural model is compared through an iterative process to a modified model with prescribed field measurements. This method is very robust, stable, effective, and works also for non linear rock mass behaviour. For illustration, this method has been applied to a subsidence problem in a mining area, to a shallow tunnel numerical model, and to a tunnel excavation case history.
  • Nondestructive damage evaluation of reinforced concrete structure using infrared thermography
    • Luong Minh-Phong
    , 2000, pp.98-107. This paper highlights three advantages of infrared thermography as a nondestructive, non-contact and in real-time technique. It permits first observation of the physical manifestation of damage and the mechanism of failure of concrete, second detection of the occurrence of intrinsic dissipation localization, and third evaluation of the fatigue strength in a very short time, compared to traditional testing techniques. In addition, infrared thermography readily describes the damage location and the evolution of structural failure. The investigated parameter is heat generation due to intrinsic dissipation of concrete subject to compressive loading. Owing to the thermomechanical coupling, this technique provides a simple means for evaluating fatigue strength and for discriminating diverse dissipative phenomena. (10.1117/12.385481)
    DOI : 10.1117/12.385481
  • Tenue d'ancrages LMS sur fonds coralliens indurés
    • Luong Minh-Phong
    • Habib Pierre
    Rev. Franç. Géotech., 2000, 89, pp.29-32. Cet article rapporte une expérimentation en vraie grandeur d’un système d’ancrage LMS à forte capacité de tenue dans un fond marin constitué de calcaires coralliens indurés de la Polynésie française. Les résultats ont mis en évidence la possibilité de reprise des efforts dans des zones où la compacité du terrain exclut la mise en œuvre des ancres marines traditionnelles. La sécurité de tenue ne dépend pratiquement pas de la couche superficielle souvent hétérogène. La reprise des efforts verticaux réduit très sensiblement la longueur des lignes de mouillage. Le poids réduit de l’ancrage, grâce à une efficacité exceptionnelle (> 100), est un avantage technique et économique de mise en œuvre, extrêmement appréciable par rapport aux ancres marines de type classique. (10.1051/geotech/1999089029)
    DOI : 10.1051/geotech/1999089029
  • Shut-in pressure tests - case studies
    • Bérest P.
    • Brouard B.
    • Durup G.
    , 2000, pp.105-125. No abstract provided
  • Structural morphology and relaxation spectra of viscoelastic heterogeneous materials
    • Beurthey Stéphan
    • Zaoui André
    European Journal of Mechanics - A/Solids, Elsevier, 2000, 19, pp.1-16. We analytically derive the relaxation spectra of a two-phase isotropic material whose phases are isotropic Maxwell media, according to the classical and to the generalized self-consistent schemes. Whereas these spectra are continuous in both cases, they exhibit strong differences which can be associated with the different underlying morphology, either symmetrical (polycrystal-type) in the first case or asymmetrical (composite-type) in the second case. The treatment is extended to the (N+1)-phase model which allows us to deal with coated inclusions or with an interphase between the matrix and the inclusions: the interphase is shown to strongly modify the resultant spectrum. More general cases are then considered for different kinds of constitutive behaviour as well as for coated fibre reinforced composites. As a whole, the spectral analysis method appears to be an efficient tool for the investigation of the connection between structural morphology and the overall behaviour of viscoelastic heterogeneous materials. (10.1016/S0997-7538(00)00157-1)
    DOI : 10.1016/S0997-7538(00)00157-1
  • Stability Analysis of Incipient Folding and Faulting of an Elasto-Plastic Layer on a Viscous Substratum
    • Leroy Yves
    • Triantafyllidis Nicolas
    , 2000, pp.109-139. The initiation of two modes of instability, viz. folding and faulting, is investigated theoretically for an elasto-plastic, frictional- cohesive layer which is underlain by a viscous substratum. The destabilizing factors that are allowed to come into play are the tectonic stress, buoyancy forces resulting from a gravitationally unstable density stratification, and the redistribution of material at the top surface by erosion and deposition processes. The bending stiffness of the overburden, a non-linear function of stress, has a stabilizing influence. A variational formulation of the stability problem allows one to detect the onset of global modes of instability, such as folds and surface modes for compression as well as neck-type modes for extension. Predictions of these global modes remain valid as long as the local condition of strong ellipticity is satisfied. Failure of this condition marks the onset of discontinuities in the velocity field, which are characteristic of localized faulting. The sensitivity of these predictions to the assumed behaviour of the overburden and substratum materials is explored for a prototype representative of a dip section through the Campos salt basin on the Brazilian continental margin. These results illustrate the importance of a proper selection of analogue materials for the design of physical laboratory models. This point is underscored by employing a deformation theory of plasticity which could be seen to reproduce in a simple manner the accommodation of bulk deformation by slip along a population of pervasive small faults in sedimentary rocks as well as in analogue materials, such as sands, used in the laboratory. A historical account of the use of deformation theories of plasticity in stability analyses and a derivation of the relevant incremental moduli are also given in this paper. (10.1007/978-3-642-59617-9_6)
    DOI : 10.1007/978-3-642-59617-9_6
  • Brake squeal: a problem of flutter instability of the steady sliding solution ?
    • Moirot Franck
    • Son Nguyen Quoc
    Archives of Mechanics, 2000, 4-5, pp.645-662. Brake squeal results from friction-induced vibrations. This phenomena is considered here and interpreted as a flutter instability of the steady sliding solution of an elastic solid in unilateral contact with friction with a moving obstacle. A mechanical analysis of the governing equations is given, in particular to obtain the steady sliding solution. The stability analysis of this solution is discussed. A numerical analysis by the finite element method is performed in order to compute the steady sliding solution and to discuss its stability for an automotive disk brake. The validation of the numerical procedure is examined in relation with some analytical results of the literature.
  • Resource-bounded relational reasoning: induction and deduction through stochastic matching
    • Sebag Michèle
    • Rouveirol Céline
    Machine Learning, Springer Verlag, 2000, 38 (1-2), pp.41-62. One of the obstacles to widely using first-order logic languages is the fact that relational inference is intractable in the worst case. This paper presents an any-time relational inference algorithm: it proceeds by stochastically sampling the inference search space, after this space has been judiciously restricted using strongly-typed logic-like declarations. We present a relational learner producing programs geared to stochastic inference, named STILL, to enforce the potentialities of this framework. STILL handles examples described as definite or constrained clauses, and uses sampling-based heuristics again to achieve any-time learning. Controlling both the construction and the exploitation of logic programs yields robust relational reasoning, where deductive biases are compensated for by inductive biases, and vice versa. (10.1023/A:1007629922420)
    DOI : 10.1023/A:1007629922420
  • On a new methodology for quantitative modeling of fretting fatigue
    • Dang Van Ky
    • Maitournam Habibou
    , 2000, pp.538-552. A new intrinsic methodology for the prediction of fretting fatigue failure of a structure is presented. It is based, first, on the evaluation of local relevant thermomechanical parameters by new thermoelastoplastic computational methods (direct cyclic method) and, second, on the systematic use of the Dang Van multiaxial high-cycle fatigue criterion. For the validation of this proposal, numerical simulations of fretting fatigue tests on a particular experimental setup considered as a structure are performed. The resulting prediction of the experimental fretting fatigue map in relation to plastic and fatigue material properties is good. (10.1520/STP14753S)
    DOI : 10.1520/STP14753S
  • Dynamic testing of fibre polymer matrix composite plates under in-plane compression
    • Gary Gérard
    • Zhao H.
    Composites Part A: Applied Science and Manufacturing, Elsevier, 2000, 31, pp.835-840. Experimental investigations of the failure strength of fibre reinforced polymer matrix composite plates under compressive impact loading is presented in this paper. A split Hopkinson pressure bar (SHPB) is used to measure these properties. The specimen being a plate, its cross-sectional area is small compared with the area of the bars and the failure strength is weak. One has to then use low impedance bars made of a viscoelastic material. Subsequent experimental problems, such as dispersion corrections in viscoelastic bars, are analysed. One also has to use a special anti-buckling device to prevent the overall buckling of the specimen. It is shown that the presented SHPB system provides a precise measurement of forces and displacements at both ends of the specimen. A special attention is then given to the analysis of the test, especially in situations where a non-homogeneous state of stress in the specimen in observed. (10.1016/S1359-835X(00)00026-9)
    DOI : 10.1016/S1359-835X(00)00026-9
  • Science et règlement
    • Salençon Jean
    , 2000, pp.213-221.
  • Thermomechanical description of moving discontinuities: Application to wear
    • Stolz Claude
    , 2000. The propagation of moving surface inside a body is analysed within the framework of thermomechanical couplings, when the moving surface is associated with an irreversible change of mechanical properties.The moving surface is a surface of heat sources and of entropy production, intensities of which are related to particular energy release rates defined in terms of Hamiltonian gradients. As examples, we analyse the evolution of partial damage in a composite sphere and a model for study the contact wear phenomena between two bodies.
  • Percolation mécanique'' : pertinence des modèles classiques en viscoélasticité linéaire et nouvelles approches
    • Bornert Michel
    • Aussant F.
    • Zaoui A.
    , 2000. No abstract provided