Laboratoire de mécanique des solides

Publications

2003

  • Constitutive modelling in plasticity
    • Stolz Claude
    , 2003.
  • Evaluation non destructive de la performance mécanique du cuir
    • Luong Minh-Phong
    , 2003. Cette communication propose l'utilisation de la thermographie infrarouge pour évaluer la performance mécanique du cuir, appelée limite d'endommagement acceptable LEA du matériau cuir, facilement obtenue à partir des essais mécaniques couplés avec une scrutation infrarouge non contact, non destructive et en temps réel.
  • Principes variationnels et exploitation de mesures de champs en élasticité
    • Bonnet Marc
    • Bui Huy Duong
    • Constantinescu Andrei
    Mechanics & Industry, EDP Sciences, 2003, 4 (6), pp.687-697. Il est parfois nécessaire d'identifier certaines grandeurs ou certains paramètres caractérisant des structures ou des matériaux. Cela passe dans tous les cas par l'exploitation de données expérimentales, et les mesures de champs, par la richesse des informations fournies, sont particulièrement bien adaptées à ces objectifs. Cet article a pour objet de présenter certaines techniques d'inversion particulièrement adaptées à l'exploitation de mesures de champs. L'identification de champs de modules élastiques est choisie comme un problème modèle commode pour l'exposition, mais d'autres problèmes d'identification peuvent être abordés dans le même esprit. On s'efforce en particulier de montrer que l'identification par exploitation de mesures de champs ne doit pas nécessairement se faire par la minimisation de critères de type moindres carrés sur les observations, car le fait de disposer de champs mesurés permet de définir d'autres critères, d'une part adaptés à ce type de données et d'autre part obtenus comme conséquences directes des principes variationnels de l'élasticité. Les critères considérés ici sont principalement l'erreur en relation de comportement et l'écart à la réciprocité. Divers exemples d'illustration, de nature purement numérique pour la plupart, sont présentés. (10.1016/j.mecind.2003.09.011)
    DOI : 10.1016/j.mecind.2003.09.011
  • Structure and morphology of [icosahedral Al62Cu25.5Fe12.5]100−x[decagonal Al70Co15Ni15]x alloys, for (0∼3 and 5∼10)
    • Lei Yi
    • Calvo-Dahlborg M.
    • Dubois J.M
    • Hei Z
    • Weisbecker P.
    • Dong C.
    Journal of Non-Crystalline Solids, Elsevier, 2003, 330 (1-3), pp.39-49. (10.1016/j.jnoncrysol.2003.08.059)
    DOI : 10.1016/j.jnoncrysol.2003.08.059
  • Étude micro-mécanique de l'effet de la présence d'amas d'inclusions sur la transition fragile-ductile d'aciers nucléaires.
    • Bilger Nicolas
    , 2003. Résumé non disponible
  • Cavity identification using 3-D elastodynamic BEM, shape sensitivity and topological derivative
    • Bonnet Marc
    • Guzina Bojan B
    • Nintcheu Fata Sylvain
    , 2003, pp.205-212. The problem of mapping underground cavities from surface, i.e. using non-intrusive seismic measurements, is investigated via a regularized boundary integral equation method. With the ground modeled as a three-dimensional uniform, isotropic elastic half-space, the inverse analysis of seismic waves scattered by a three-dimensional void is formulated as a task of minimizing a cost function involving the misfit between experimental observations and theoretical (i.e forward) predictions. This conventional choice of setting is dictated by the very high computational cost of solving the forward elastodynamic scattering problem, which makes e.g. global search strategies infeasible. For an accurate treatment of the gradient search technique employed to solve the inverse problem, derivatives of the predictive boundary element model with respect to the cavity parameters are evaluated using an adjoint problem approach. Here as in most situations where conventional descent methods (here the quasi-Newton algorithm with BFGS formula) are used, results depend on the choice of initial guess and occasional lack of convergence occurs. This has prompted the authors to investigate the use of topological derivative as a tool for preliminary probing. The topological derivative field is computed via a relatively inexpensive procedure, and appears to yield useful indications as to the topology and approximate location of the cavity system. Numerical examples are included to illustrate the effectiveness of the various steps developed so far. (10.1142/9789812702593_0022)
    DOI : 10.1142/9789812702593_0022
  • Détermination de la réponse asymptotique d'une structure anélastique soumise à un chargement thermomécanique cyclique.
    • Pommier Benjamin
    , 2003. Dans le cadre du dimensionnement à la fatigue thermomécanique des culasses automobiles, nous proposons une méthode de simulation des structures soumises à des chargements cycliques. Cette méthode, alternative aux méthodes classiques (comme la méthode incrémentale) permet de résoudre des problèmes thermomécaniques cycliques non-linéaires. Il s'agit d'une Méthode Cyclique Directe qui consiste à rechercher directement la solution asymptotique d'une structure anélastique soumise à un chargement thermomécanique périodique, sans suivre l'histoire du chargement. Elle est fondée sur les techniques de grand incrément de temps [Ladevèze et al.], en prenant en compte la périodicité de l'état limite [Nguyen et al.] et la transformation de Fourier. Cette méthode permet des gains de temps importants pour les structures comprenant un grand nombre de degrés de liberté. Un développement de cette méthode dans une version commerciale d'Abaqus, a permis de montrer la faisabilité de cette approche dans le cas de la simulation d'une culasse.
  • A discussion of sensitivity analysis for the identification of poroelastic material parameters
    • Constantinescu Andrei
    • Lecampion Brice
    , 2003.
  • Modelling attemps to predict fretting fatigue life in turbine components
    • Arrieta Hernan
    • Wackers Patrick
    • Van Ky Dang
    • Maitournam Habibou
    • Constantinescu Andrei
    , 2004. Wherever two or more turbine components are in tight contact, Fretting-Fatigue becomes a relevant failure mechanism. Despite of on-going research on Fretting Fatigue, life prediction under fretting conditions continues being a challenge. To analytically predict fretting-fatigue life, key driving factors need to be identified and quantified in mechanical terms (stress and strain). Due to the intrinsic characteristics of contact, stress and strain fields around contact areas evolve with the loading history. They, together with material non-linearity and contact conditions need to be taken into account in order to perform a reliable life prediction. The present paper focuses on identifying the driving factors for fretting damage on blade-disk attachment under real engine conditions. Two-dimensional finite element contact calculations were carried out to quantify the influence of the key factors on mechanical quantities (stress and strain). Special attention was paid to material models and surface interaction (friction coefficient and contact conditions) in order to balance computational effort with result’s accuracy. Finally, the multi-axial fatigue criteria developed by Dang Van and co-workers is used to predict failure. For validation purposes life prediction is compared with experimental results.
  • Modèles standards généralisés à convexe fixe en endommagement
    • Cimetière Alain
    • Halm Damien
    • Marigo Jean-Jacques
    • Molines Estelle
    Comptes Rendus. Mécanique, Académie des sciences (Paris), 2003, 331 (4), pp.291-294. Un cadre thermodynamique d'écriture de modèles d'endommagement est introduit. Obtenu par l'adjonction de variables internes complémentaires, il s'inscrit dans celui des matériaux standards généralisés pour lesquels le domaine convexe des forces thermodynamiques admissibles est indépendant des variables internes. Il en présente ainsi les avantages. Le modèle de Marigo est replacé dans ce cadre et un autre exemple est donné combinant à la fois écrouissage isotrope et cinématique. (10.1016/S1631-0721(03)00057-3)
    DOI : 10.1016/S1631-0721(03)00057-3
  • A shakedown analysis in hardening plasticity
    • Nguyen Quoc Son
    Journal of the Mechanics and Physics of Solids, Elsevier, 2003, 51, pp.101-125. The extension of classical shakedown theorems for hardening plasticity is interesting from both theoretical and practical aspects of the theory of plasticity. This problem has been much discussed in the literature. In particular, the model of generalized standard materials gives a convenient framework to derive appropriate results for common models of plasticity with strain-hardening. This paper gives a comprehensive presentation of the subject, in particular on general results which can be obtained in this framework. The extension of the static shakedown theorem to hardening plasticity is presented at first. It leads by min-max duality to the definition of dual static and kinematic safety coefficients in hardening plasticity. Dual static and kinematic approaches are discussed for common models of isotropic hardening, of limited or unlimited kinematic hardening. The kinematic approach also suggests for these models the introduction of a relaxed kinematic coefficient following a method due to Koiter. Some models for soils such as the Cam-clay model are discussed in the same spirit for applications in geomechanics. In particular, new appropriate results concerning the variational expressions of the dual kinematic coefficients are obtained. (10.1016/S0022-5096(02)00058-3)
    DOI : 10.1016/S0022-5096(02)00058-3
  • Mechanical constraints on the chronology of fracture activation in folded Devonian sandstone of the western Moroccan Anti-Atlas
    • Guiton M. L. E.
    • Sassi W.
    • Leroy Y. M.
    • Gauthier B. D. M.
    Journal of Structural Geology, Elsevier, 2003, 25, pp.1317-1330. The three-dimensional meter-scale fracture networks, observed on exposed folds between the towns of Tata and Akka, western Moroccan Anti-Atlas, consist mostly of planar discontinuities, which are sub-perpendicular to the bedding and partitioned in three main sets. The chronology of their activation is proposed in five stages since the Hercynian orogeny. Stage 1 predates folding and involves the horizontal compression of the Emsian sandstone. It involves fracture set I, composed of systematic joints parallel to the direction of compression. Stages 2–4 correspond to the folding and are marked in the outer-arc by the activation of fracture set II, composed mainly of joints parallel to the fold axial plane. Stage 5 is a regional shear event during which sets I and III, separated by an angle close to 60°, are activated in a conjugate manner. To throw light on the recurrent difficulty in discriminating between activation of inherited and new fractures, an elasto-plastic model is used to construct a stress path in the pervasively fractured medium idealized as a continuum. Each fracture set obeys the Mohr–Coulomb criterion truncated in tension to describe both sliding and opening activations. Finite-element simulations of a simple buckling event accounting for the field fracture sets are presented. It is shown that set I cannot be generated by folding and thus does belong to stage 1. Set II is activated at a later stage of folding than expected from the field interpretation. Set III cannot be activated during stage 2, confirming its role in stage 5. The advantages and limitations of the proposed modeling are finally discussed. (10.1016/S0191-8141(02)00155-4)
    DOI : 10.1016/S0191-8141(02)00155-4
  • Caractérisation de la répartition de la déformation dans les matériaux hétérogènes
    • Doumalin Pascal
    • Bornert Michel
    • Crépin Jérôme
    Mechanics & Industry, EDP Sciences, 2003, 4, pp.607-617. On présente une méthode originale de caractérisation de la répartition de la déformation dans les matériaux hétérogènes, basée sur l'adaptation des techniques statistiques de caractérisation morphologique par covariance à 2 points aux champs locaux de déformation mesurés par microextensométrie MEB. Elle permet de montrer que le comportement mécanique n'est pas uniquement la conséquence d'interactions très locales entre grains ou domaines de phases voisins, mais résulte aussi de phénomènes à plus grande portée. (10.1016/j.mecind.2003.09.002)
    DOI : 10.1016/j.mecind.2003.09.002
  • Testing with SHPB from quasi-static to dynamic strain rates
    • Ohtman R.
    • Bussac M. N.
    • Collet P.
    • Gary G.
    Journal de Physique IV Proceedings, EDP Sciences, 2003, 110, pp.397-404. We have developed a new method for separating dispersive waves in elastic and viscoelastic rods from three-point strain and one-point velocity measurements. Stress, strain, displacement and velocity, which were supposed to be homogenous in a rod section, were therefore determined at any point ofthe bar. This method is based on the assumption of a one dimensional and single mode dispersive wave propagation. This method was used in the frequency domain and took into account wave dispersion. It was shown to be stable with respect to noise. The measuring time is increased considerably. Subsequently, the maximum strain which can be measured in a material tested with a classical SHPB (Split Hopkinson Pressure Bar) set-up is also increased and is no more limited by the length of the bars. The method was used to evaluate the rate sensitivity ofaluminum honeycomb over a wide range ofstrain-rates (from 10 -2 to 1000 s -1). (10.1051/jp4:20020726)
    DOI : 10.1051/jp4:20020726
  • Bearing capacity of strip footings with horizontal confinement
    • Salençon Jean
    Comptes rendus de l’Académie des sciences. Série IIb, Mécanique, Elsevier, 2003, 331, pp.319-324. 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. (10.1016/S1631-0721(03)00071-8)
    DOI : 10.1016/S1631-0721(03)00071-8
  • Creep of polycrystalline anorthite and diopside
    • Dimanov Alexandre
    • Lavie Marie-Pierre
    • Ingrin Jannick
    • Dresen Georg
    • Jaoul Olivier
    Journal of Geophysical Research : Solid Earth, American Geophysical Union, 2003, 108 (B1), pp.doi:10.10292002JB001815. (10.1029/2002JB001815)
    DOI : 10.1029/2002JB001815
  • Génie parasismique : aspects dynamiques et vibratoires en génie civil
    • Luong Minh-Phong
    , 2003, pp.3 tomes. Actes du colloque AFPS 2003. Plus de 160 communications ont été présentées, réparties selon les thèmes suivants : - Géosciences (vol. 1) : sismologie générale et aléa déterministe ; mouvements sismiques pour l'ingénieur ; effets de site classiques ; interaction sol-structure et effet de site "urbains" ; géotechnique parasismique (sols, fondations et ouvrages). - Dynamique des structures et conception (vol. 2) : méthodes d'analyse et de modélisation (analyse simplifiée et indicateurs de nocivité, méthodes spécifiques) ; expérimentation ; constructions métalliques ; équipements industriels et structures particulières ; ponts. - Gestion de l'existant et du risque (vol. 3) : diagnostic et renforcement de l'existant ; existant nucléaire ; méthode d'estimation de la vulnérabilité à grande échelle ; scénarios et vulnérabilité urbaine ; aspects socio-économiques ; vers un nouveau zonage sismique de la France. - Benchmark Camus (vol. 3).
  • Linear stability analysis in fluid-structure interaction with transpiration. Part II: Numerical analysis and applications
    • Fernández Miguel Angel
    • Le Tallec Patrick
    Computer Methods in Applied Mechanics and Engineering, Elsevier, 2003, 192 (43), pp.4837-4873. This paper constitutes the numerical counterpart of the mathematical framework introduced in Part I. We address the problem of flutter analysis of a coupled fluid-structure system involving an incompressible Newtonian fluid and a reduced structure. We use the Linearization Principle approach developed in Part I, particularly suited for fluid-structure problems involving moving boundaries. Thus, the stability analysis is reduced to the computation of the leftmost eigenvalues of a coupled eigenproblem of minimal complexity. This eigenproblem involves the linearized incompressible Navier-Stokes equations and those of a reduced linear structure. The coupling is realized through specific transpiration interface conditions. The eigenproblem is discretized using a finite element approximation and its smallest real part eigenvalues are computed by combining a generalized Cayley transform and an implicit restarted Arnoldi method. Finally, we report three numerical experiments : a structure immersed in a fluid at rest, a cantilever pipe conveying a fluid flow and a rectangular bridge deck profile under wind effects. The numerical results are compared to former approaches and experimental data. The quality of these numerical results is very satisfactory and promising. (10.1016/j.cma.2003.08.001)
    DOI : 10.1016/j.cma.2003.08.001
  • Identification de failles sismiques par une fonctionnelle de réciprocité généralisée
    • Bui Huy Duong
    • Constantinescu Andrei
    • Maigre Hubert
    , 2003, 1, pp.13-20.
  • Microstructure influence on the damage initiation in unirradiated zirconium alloys
    • Elbachiri K.
    • Crépin Jérôme
    • Rebeyrolle V.
    • Bretheau T.
    , 2003. No abstract provided
  • Identification de lois de comportement cristallines à partir du couplage EBSD/microextensometrie/Eléments Finis. Application au zirconium grade 702
    • Dexet M.
    • Crépin Jérôme
    • Gélébart L.
    , 2003. No abstract provided
  • Contribution du fluage à froid et de l'hydrogène à la fissuration anormale du Ti 6246 sous chargement cyclique à fort Kmax
    • Doquet V.
    • Mignot F.
    • Sarrazin-Baudoux C.
    , 2003. No abstract provided
  • Couplage EBSD - micro-extensométrie et identification de lois cristallines
    • Roos A.
    • Hoc T.
    • Gélébart L.
    • Crépin Jérôme
    • Bornert Michel
    • Bretheau T.
    , 2003. No abstract provided
  • Thermomechanical properties of polycarbonate under dynamic loading
    • Lerch V.
    • Gary G.
    • Hervé P.
    Journal de Physique IV Proceedings, EDP Sciences, 2003, 110, pp.159-164. In the present study, dynamic compression tests have been performed on polycarbonate (PC) specimen for strain rates in the range of 500 to 2000s -1 and on aluminum for a strain rate around 1300s -1 using a Split Hopkinson Pressure Bar (SHPB). Temperature measurement has been carried out using a fast response infrared optical pyrometer which is able to measure the surface temperature rise of a specimen during the tests. The temperature data shows that the mechanical work is not completely converted into heat. It implies the existence of a stored energy within the material and possibly a subsequent delay for the conversion of mechanical work into heat. (10.1051/jp4:20020687)
    DOI : 10.1051/jp4:20020687
  • Statistical and Numerical analysis of the nonlinear behaviour of a porous materials with a heterogeneous distribution of pores
    • Bilger Nicolas
    • Bornert Michel
    • Auslender François
    • Michel Jean-Claude
    • Moulinec Hervé
    • Suquet Pierre
    • Zaoui André
    , 2003. The yield stress of a ductile 2D porous material with a heterogeneous distribution of pores is investigated by means of a numerical tool based on the Fast Fourier Transform. Random distributions of circular voids, with a uniform or variable pore size and with overlapping or clearly separated pores, are compared, for a same overall porosity, to microstructures obtained as the intersection of the previous ones with a boolean scheme with a larger characteristic size. For pure shear and even more under purely hydrostatic load, the numerical simulations show that the pore distribution has a strong effect on the yield stress, with the so-called “Hashin Composite Cylinders Assemblage” being the hardest microstructure and the connected clusters the softest, while disconnected clusters lead to intermediate responses. An image analysis tool for the statistical characterization of the pore distribution is then proposed. It is based on the distribution function of the distance function, the width of which increases with the presence of clusters. An additional analysis allows one to distinguish microstructures with connected clusters from those with disconnected ones.