Laboratoire de mécanique des solides

Publications

2000

  • Simulation expérimentale du risque
    • Luong Minh-Phong
    , 2000, pp.77-106. Cet Atelier a pour but de présenter quelques méthodologies capables de fournir des informations réalistes en vue d’une évaluation quantitative de la vulnérabilité des ouvrages de génie civil face aux risques de dysfonctionnement, de dommage ou de destruction. Cette synthèse résume les diverses contributions et réflexions du groupe de travail en insistant plus particulièrement sur la problématique du risque décrit, l’approche expérimentale proposée, les résultats obtenus sur des exemples précis et les perspectives.
  • Simulation numérique d'une clarinette par projection modale
    • Facchinetti Matteo Luca
    • Boutillon Xavier
    • Constantinescu Andrei
    , 2000.
  • Exploiting partial or complete geometrical symmetry in boundary integral equation formulations of elastodynamic problems
    • Bonnet Marc
    , 2000. Procedures based on group representation theory, allowing the exploitation of geometrical symmetry in symmetric Galerkin BEM formulations of 3D elastodynamic problems, are developed. They are applicable for both commutative and noncommutative finite symmetry groups and to partial geometrical symmetry, where the boundary has two disconnected components, one of which is symmetric. (10.1007/978-3-642-56288-4_18)
    DOI : 10.1007/978-3-642-56288-4_18
  • Intelligent'' optimal design of materials and structures: what does it mean?
    • Zarka Joseph
    , 2000 (DETC2000/DAC-14492). The engineers have to face very important problems in the design, the test, the survey and the maintenance of their structures. These problems did not yet get full answer even from the best people in the world. Usually in these problems (such as no satisfactory constitutive modeling of materials, no real control of the accuracy of the numerical simulations, no real definition of the initial state and/or the effective loading of the structure), there is no solution and the experts do not understand the problem in its whole. Moreover, the available data may be not statistically representative (i.e. are in limited number), fuzzy, qualitative and missing in part. We propose a practical solution the « Intelligent Optimal Design of Materials and Structures » where the actual best knowledges of the researchers/experts are intelligently mixed to the results of experiments or real returns. Several examples of applications are given in this serial set· of papers to explain the real meaning and power of this approach.
  • “Intelligent” Optimal Design of Woven Composites
    • Zarka Joseph
    • Doux Thierry
    , 2000, pp.275-277. By the coupling of the existing knowledge of experts, the numerical results and the experimental data with the help of some special automatic learning and optimization techniques, it is now possible to propose a very simple tool to design materials. The purpose of this paper is to show its particular application to the very difficult design of woven composites where it is necessary to adjust the mechanical properties, the electromagnetic properties and taking care of the price too. (10.1115/DETC2000/DAC-14494)
    DOI : 10.1115/DETC2000/DAC-14494
  • Intelligent modeling of woven materials
    • Zarka Joseph
    • Doux Thierry
    , 2000. This paper shows the particular application of the general approach "Intelligent Optimal Design" to the design of a woven composite material used o make radomes and for which the mechanical and electromagnetical properties have to satisfy special properties. Although the design of such a material needs the control of almost 50 design parameters, with a very limited number of examples of materials in the data base, but with a special description of each material, it is possible to extract the rules necessary to predict the behaviour of any new material with a rather good accuracy and thereafter, to reach the optimal design (minimum cost) associated to any new requirements. (10.2514/6.2000-4942)
    DOI : 10.2514/6.2000-4942
  • Méthode de Schwarz additive avec solveur grossier pour problèmes non symétriques
    • Alart Pierre
    • Barboteu Mikaël
    • Le Tallec Patrick
    • Vidrascu Marina
    Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, Elsevier, 2000, 331 (5), pp.399-404. Dans cette Note, nous présentons la généralisation à la résolution de systèmes non symétriques d'une méthode de décomposition de domaines extensible de type Neumann–Neumann. Cette généralisation a pu être effectuée en utilisant le cadre théorique des méthodes de décomposition en sous-espaces de Schwarz additifs avec introduction d'un espace grossier correctement adapté au cas non symétrique. La méthode développée est testée sur des problèmes non symétriques engendrés par la formulation mixte de problèmes de contact avec frottement. (10.1016/S0764-4442(00)01667-0)
    DOI : 10.1016/S0764-4442(00)01667-0
  • Microextensométrie locale par corrélation d'images numériques. Application aux études micromécaniques par microscopie électronique à balayage.
    • Doumalin Pascal
    , 2000. Ce travail a vise dans un premier temps au developpement d'une technique de microextensometrie locale par l'adaptation des methodes de correlation d'images numeriques, utilisees depuis plusieurs annees en imagerie optique macroscopique pour determiner des champs de deplacements locaux dans des structures, aux images numeriques obtenues, a echelle bien plus fine, par microscopie electronique a balayage (meb). L'etude a permis de reveler les difficultes specifiques rencontrees pour atteindre la precision theorique de ces techniques avec des images de meb et a conduit a proposer un certain nombre de procedures pour les traiter. On s'est en particulier attache a analyser les defauts d'images induits par les imperfections de balayage du meb, par de tres faibles variations de grandissement ou par la derive du faisceau, a etudier les consequences des reglages non optimaux du meb, conduisant a des niveaux de bruit trop eleves, ou encore l'effet de forme du repere pour marquer les echantillons sur la precision de mesure. Cette technique de microextensometrie a ensuite ete appliquee a l'investigation des mecanismes locaux de deformation dans des materiaux heterogenes, notamment au cours du tout premier stade de l'ecoulement plastique. On s'est interesse plus particulierement a la mise en evidence, la caracterisation, la quantification et enfin la modelisation du phenomene de localisation precoce de la deformation sous forme de bandes dans des materiaux elastoplastiques. Un moyen original pour quantifier statistiquement la portee des bandes a ete propose en appliquant sur le champ de deformation lui-meme les methodes statistiques classiquement utilisees pour caracteriser la distribution des phases.
  • Une utilisation de Castem 2000
    • Constantinescu Andrei
    , 2000.
  • Représentations non structurées en optimisation topologique de formes par algorithmes évolutionnaires
    • Hamda Hatem
    • Jouve François
    • Lutton Evelyne
    • Schoenauer Marc
    • Sebag Michèle
    , 2000, Canum 2000 : Actes du 32e Congrès national d'analyse numérique, pp.153-179. Les algorithmes évolutionnaires sont des méthodes d'optimisation stochastiques inspirées -- grossièrement -- de l'évolution naturelle des populations. Méthodes globales d'ordre 0, leur robustesse et leur souplesse leur permettent d'attaquer la résolution numérique de problèmes difficiles à résoudre autrement. Mais c'est leur capacité à travailler sur des espaces de recherche non standards qui leur offre les perspectives les plus originales. Dans le domaine de l'optimisation topologique de formes, les résultats obtenus il y a quelques années montraient la faisabilité de l'approche évolutionnaire, mais étaient limités par le fait que la complexité de l'espace de recherche était liée à celle du maillage utilisé lors de la simulation numérique. Ce papier introduit un ensemble de représentations compactes et non structurées dont la complexité n'est pas fixe, mais est ajustée par l'algorithme lui-même. Les résultats présentés dans cet article montrent que leur utilisation permet de repousser les limites de l'optimisation topologique de formes évolutionnaire. Des résultats sur des problèmes test simples tentent ensuite de comparer les mérites des diverses approches proposées.
  • An affine formulation for the prediction of the effective properties of nonlinear composites and polycrystals
    • Masson Renaud
    • Bornert Michel
    • Suquet Pierre
    • Zaoui André
    Journal of the Mechanics and Physics of Solids, Elsevier, 2000, 48 (6-7), pp.1203-1227. Variational approaches for nonlinear elasticity show that Hill’s incremental formulation for the prediction of the overall behaviour of heterogeneous materials yields estimates which are too stiff and may even violate rigorous bounds. This paper aims at proposing an alternative ‘affine’ formulation, based on a linear thermoelastic comparison medium, which could yield softer estimates. It is first described for nonlinear elasticity and specified by making use of Hashin–Shtrikman estimates for the linear comparison composite; the associated affine self-consistent predictions are satisfactorily compared with incremental and tangent ones for power-law creeping polycrystals. Comparison is then made with the second-order procedure and some limitations of the affine method are pointed out; explicit comparisons between different procedures are performed for isotropic, two-phase materials. Finally, the affine formulation is extended to history-dependent behaviours; application to the self-consistent modelling of the elastoplastic behaviour of polycrystals shows that it offers an improved alternative to Hill’s incremental formulation. (10.1016/S0022-5096(99)00071-X)
    DOI : 10.1016/S0022-5096(99)00071-X
  • Quantifying Drilling Efficiency and Disruption: Field Data vs. Theoretical Model
    • Putot Claude
    • Guesnon Jean
    • Perreau Philippe
    • Constantinescu Andrei
    SPE Drilling and Completion, Society of Petroleum Engineers, 2000, 15 (02), pp.118-125. Mechanical and kinematics data at the bit have been collected during drilling operations and organized to identify optimal drilling efficiency. Transitional conditions towards abnormal behavior have been distinguished. Normal drilling is usually characterized by regular linear relationships between global control variables at the bit, which approximately correspond to an upscaling of a local Mohr-Coulomb-type failure mechanism of the rock. Most of our experimental data confirm this classical disposition. However, considerable departure from these relationships is noted, especially when there is bottomhole assembly (BHA) resonance or when there is partial balling at the bit. The field tests presented here allow us to verify classical theory and to draw up new guidelines for behavior in nonoptimal or dangerous, evolving operating conditions, such as those that occur under poor cleaning conditions. The main features of a mechanical structuring model involving transition towards low-efficiency conditions are presented, and it is shown how this model confirms our interpretation of field data. The model couples the drillability of rock and the general dynamics of the bit in an original and synthetic way. It makes it possible to understand and test the sensitivity of bit response to variables such as "weight on hook," torque on the drillstring, and flow rate of the fluid. (10.2118/64004-PA)
    DOI : 10.2118/64004-PA
  • On the simulation of large viscoplastic structures under anisothermal cyclic loadings
    • Verger Laetitia
    • Constantinescu Andrei
    • Charkaluk Eric
    , 2001, pp.341-350. The optimal design of parts submitted to thermomechanical loadings is a key issue for the safety and quality assessments of structures. In this context, the present paper discusses the choice of a behavior model and the determination of its parameters. For cast iron and aluminum alloy applications, two constitutive laws are compared : one is based on a classical unified viscoplastic model and the other is based on a two-layer plastic-viscous rheological model. The following discussion shows that the use of anisothermal experiments is very important for the identification of material parameters and that simple models can be successfully applied for the predictive lifetime assessments of large 3D structures. (10.1007/978-94-015-9628-2_33)
    DOI : 10.1007/978-94-015-9628-2_33
  • Une transformation du problème d'élasticité linéaire en vue d'application au problème de l'inclusion et aux fonctions de Green
    • Pouya Ahmad
    Comptes Rendus de l'Académie des Sciences - Series III - Sciences de la Vie, Elsevier, 2000, t 328 (Série II b), pp.437-443. Nous présentons une transformation simple du problème de structure élastique linéaire. Le problème transformé se présente sous forme d'un nouveau problème de structure élastique linéaire avec un comportement, une géométrie et des données de forces et de déplacements imposés différents. Le problème transformé peut être plus simple à traiter ou correspondre à des cas de solutions analytiques connues. A l'aide de cette transformation, on peut ramener le problème de l'inclusion ellipsoïdale en un problème d'inclusion sphérique, étendre les résultats connus pour le tenseur d'Eshelby pour les cas de matrice isotrope ou d'isotropie transverse, à des cas plus larges, et enfin, établir l'expression analytique de la fonction de Green du milieu infini pour des cas de comportements orthotropes plus riches que l'isotropie transverse, ainsi que des cas non orthotropes.
  • Numerical lifetime assessment of engine parts submitted to thermomechanical fatigue
    • Lederer Guy
    • Charkaluk Eric
    • Verger Laetitia
    • Constantinescu Andrei
    , 2000. In this work a numerical method for the design of components submitted to severe cyclic thermomechanical loading is developed. This tool is based on a Finite Element (FE) analysis. In a first part the temperature distribution is obtained and used in the second part for the mechanical computation. The analyses use the description of the geometry of the part, a precise information of the thermal properties, an appropriate behavior of the material at low and high temperature and a good assessment of the boundary conditions (heat transfer coefficients, contact, …). This method is applied to asses the low cycle fatigue design of a diesel turbo-charged exhaust manifold in cast iron. These calculations, failure location and lifetime estimation, obtained on two versions of this component, are compared to experimental data. The results show a good agreement in terms of critical zones location and of lifetime comparison in both versions and permit thus to classify the versions. (10.4271/2000-01-0789)
    DOI : 10.4271/2000-01-0789
  • Micromechanics-based modeling of plastic polycrystals: an affine formulation
    • Zaoui André
    • Masson Renaud
    Materials Science and Engineering: A, Elsevier, 2000, 285, pp.418-424. Recent comparisons of predictions associated with Hill’s original ‘incremental’ formulation for the self-consistent modelling of elastoplastic polycrystals with a newly available nonlinear upper bound for the moduli have brought to light the fact that this formulation leads to a frequent violation of this bound. This conclusion has motivated the conception of a new formulation, called the ‘affine formulation’, which is expected to yield softer predictions. The principle of this formulation is first reported for the simpler case of nonlinear elasticity (or viscosity) and compared with other approaches. It is then extended to cases for which the current responses depend on the loading path, with specification to the self-consistent scheme in order to model transient responses of polycrystals; though no variational approach exists in these cases, the obtained predictions can be considered as improved ones since they are shown to be, as expected, softer than those derived from other models. (10.1016/S0921-5093(00)00687-0)
    DOI : 10.1016/S0921-5093(00)00687-0
  • Une approche non destructive pour l'identification de contraintes de contact
    • Ben Abdallah J.
    • Bonnet Marc
    Comptes Rendus de l'Academie des Sciences Serie II, Gauthier-Villars, 2000, 328, pp.525-529. Cette note concerne une méthode non destructive d'identification de la distribution de contraintes de contact entre un poinçon rigide et un massif élastique semi-infini au moyen de mesures du déplacement normal et des déformations tangentielles à la surface libre du massif. Les résultats numériques, obtenus pour des configurations axisymétriques, valident cette méthode, y compris en présence de données expérimentales inexactes et quand la zone de contact n'est pas a priori exactement connue (expérience d'indentation). (10.1016/S1620-7742(00)00022-2)
    DOI : 10.1016/S1620-7742(00)00022-2
  • Etude de la tenue de substrats en Ti6Al4V revêtus de dépôts de tungstène PVD en fonction de leurs épaisseurs
    • Graff G.
    • Stolz C.
    • Pradeilles Duval R. M.
    • Sainte Catherine M.-C.
    , 2000. No abstract provided
  • On the indentification of planar cracks in 3D acoustics
    • Bui Huy Duong
    • Constantinescu Andrei
    • Maigre Hubert
    , 2000, pp.181-190.
  • Infrared thermography of the tensile behavior of natural gut string
    • Luong M. P.
    , 2000, pp.423-430. No abstract provided
  • Deformation mechanisms and strain localization at the brittle-ductile transition of the continental crust in extension
    • Gueydan Frédéric
    • Leroy Yves
    • Jolivet Laurent
    , 2000.
  • Treatment of singular integrals in 3D symmetric Galerkin boundary element method
    • Mouhoubi Saida
    • Ulmet L.
    • Bonnet Marc
    , 2000. No abstract provided
  • Genetic Programming and Domain Knowledge: Beyond the limitations of grammar-guided Machine Discovery
    • Ratle Alain
    • Sebag Michèle
    , 2000, pp.211-220. Application of Genetic Programming to the discovery of empirical laws is often impaired by the huge size of the domains involved. In physical applications, dimensional analysis is a powerful way to trim out the size of these spaces This paper presents a way of enforcing dimensional constraints through formal grammars in the GP framework. As one major limitation for grammar-guided GP comes from the initialization procedure (how to find admissible and sufficiently diverse trees with a limited depth), an initialization procedure based on dynamic grammar pruning is proposed. The approach is validated on the problem of identification of a materials response to a mechanical test. (10.1007/3-540-45356-3_21)
    DOI : 10.1007/3-540-45356-3_21
  • A BEM- and adjoint variable-based approach to crack shape sensitivity analysis
    • Bonnet Marc
    • Burczynski T.
    • Nowakowski M.
    , 2000, pp.169-176. This communication addresses a computation strategy, based on the adjoint variable approach and BIE/BEM formulations of the direct problem, for evaluating crack or void shape sensitivities of objective functionals. Boundary-only expressions for such sensitivities are sought, in the context of linear elastodynamics. In the case of a void, boundary-only expressions for sensitivities of integral functionals defined on (part of) the external boundary are easy to obtain by the standard adjoint variable approach. When the void degenerates to a crack, the previous result ceases to be applicable, however, because non-integrable terms arise due to crack-tip singularities. We show, for two classes of crack perturbations, that boundaryonly sensitivity expressions using an adjoint state can still be obtained: (1) simple transformations (translation, rotation or expansion of the crack) of arbitrarily shaped domains, and (2) general two-dimensional geometries and crack perturbations. In the latter case, the shape sensitivity is expressed using the primal and adjoint stress intensity factors. Numerical tests of the latter kind of sensitivity expression are presented for a 2-D body with an internal crack, in plane-strain elastodynamics. The influence of crack shape perturbations on an objective functional is examined. The sensitivity results obtained using the present strategy compare well with finite difference evaluations.
  • Modelisation of dynamic crack propagation criteria
    • Karimzada T.
    • Maigre H.
    Journal de Physique IV Proceedings, EDP Sciences, 2000, 10, pp.461-466. The aim of this study is the analysis of the dynamic crack propagation criteria in materials under impact loading. We want to define which mechanical quantities monitor the propagation, then use these parameters in numerical simulations and finally compare the results with dynamic propagation experiments. First, we propose a 1D semi-analytical model. In this model several mechanical quantities can be used to define the propagation criterion, like the energy release rate... The effect of the applied loading and the reflections of waves is also very important, leading sometimes to a stick-slip propagation. Next, we present a 2D modelisation. In this case, it is not possible to study analytically the effect each criterion and we need to use a numerical simulation. We propose a numerical method based on finite element. The propagation is simulated by releasing nodes with a the release criterion defined from the propagation criterion. The numerical scheme is chosen to respect the equivalence between the total dissipation and the fracture dissipation. In parallel, we have performed dynamic propagation experiments on PMMA. The samples are DCB specimens loading with a wedge in a Kolsky set-up. During each test, the location of the crack has been recorded 4 times with high speed cameras (1 microsecond shutter). (10.1051/jp4:2000977)
    DOI : 10.1051/jp4:2000977