Publications

2001

• Exploiting partial or complete geometrical symmetry in boundary integral equation formulations of elastodynamic problems
  
  • Bonnet Marc
  , 2001, pp.253-270. 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
• Modal analysis of a complete clarinet
  
  • Facchinetti Matteo Luca
  • Boutillon Xavier
  • Constantinescu Andrei
  , 2001. A modal computation of a complete clarinet is presented by the association of finite-element models of the reed and of part of the pipe, and a lumped-element model of the rest of the pipe. This is a continuation of an initial work by Pinard and Laine (unpublished reports of the Ecole Polytechnique) on isolated reeds. The eigenmodes of the complete system are computed and the results lead to a discussion of the following points: flexion and torsion modes of the reed, their coupling to the acoustical field, plane wave hypothesis, equivalent volume approximation in the mouthpiece, and alignment of resonance peaks.
• On shakedown theorems in hardening plasticity
  
  • Nguyen Quoc Son
  • Pham Duc Chinh
  Comptes rendus de l’Académie des sciences. Série IIb, Mécanique, Elsevier, 2001, 329, pp.307-314. The model of generalized standard materials gives a convenient framework to extend Koiter's shakedown theorems into hardening plasticity. The extension of the static shakedown theorem (Melan–Koiter's theorem), proposed previously in [5], is considered here. It leads to the definition of safety coefficients in hardening plasticity by duality. Static and kinematic approaches are discussed for the models of isotropic hardening, of linear kinematic hardening (Ziegler–Prager's model) and of limited kinematic hardening. This discussion also leads to an extension of Koiter's kinematic shakedown theorem and to a second kinematic coefficient. (10.1016/S1620-7742(01)01321-6)
  DOI : 10.1016/S1620-7742(01)01321-6
• Taking advantage of complete or partial geometrical symmetry in Symmetric Galerkin BEM formulations
  
  • Bonnet Marc
  , 2001. No abstract provided
• Approches multi-échelles en Mécanique des Matériaux
  
  • Zaoui A.
  , 2001.
• Approche expérimentale de l'homogénisation
  
  • Bretheau T.
  , 2001, pp.147-169.
• Approches par les potentiels
  
  • Bornert Michel
  • Suquet P.
  , 2001, pp.45-90.
• Changement d'échelle: motivation et méthodologie
  
  • Zaoui A.
  , 2001, pp.19-39.
• Plasticité: approches en champ moyen
  
  • Zaoui A.
  , 2001, pp.17-44.
• Grain-size-sensitive flow and shear-stress enhancement at the brittle-ductile transition of the continental crust
  
  • Gueydan Frédéric
  • Leroy Yves
  • Jolivet Laurent
  International Journal of Earth Sciences, Springer Verlag, 2001, 90 (1), pp.181-196. Localized shear zones along low-angle normal faults have been identified in regions of extension at the brittle–ductile transition of the continental crust. The possibility of the strain localizing at a depth of 10 km is interpreted here as a consequence of an increase in the equivalent shear stress applied to the flow of the lower crust. This enhancement of the flow stress is seen as a prerequisite for the triggering of brittle deformation mechanisms leading to strain localization. The lower crust rheology used to examine this stress increase is strain-rate, temperature and grain-size dependent, due to the coupling of dislocation and diffusion creep. The model structure proposed consists of a top layer, the upper crust, gliding rigidly above a bottom layer, the lower crust, which deforms in simple shear. During a short time interval (1400 years), the equivalent shear stress is found to increase by a factor of up to 3 (67 MPa for anorthite and 17 MPa for quartz). For anorthite, this stress could explain the activation of a Mohr-Coulomb failure with a friction coefficient of 0.2, which is reasonable at the depth of 10 km. Dislocation creep is activated during a rapid change in the prescribed velocity, whereas diffusion creep dominates if the velocity is held constant, highlighting the importance of grain-size sensitivity for lower crustal rheology. (10.1007/s005310000160)
  DOI : 10.1007/s005310000160
• Homogénéisation en mécanique des matériaux
  
  • Bornert Michel
  • Bretheau Thierry
  • Gilormini Pierre
  , 2001, pp.250 pages.
• Multiaxial fatigue criteria based on a multiscale approach
  
  • Dang Van K.
  , 2001, pp.457-463. Prediction of high-cycle fatigue resistance is of great importance for structural design. In spite of this clear industrial need, until now modeling of metal behavior in a high-cycle fatigue regime was often based on empirical approaches: the Wöhler curve and the Goodman-Haigh or Gerber diagrams are still the very popular tools for engineers. However, these concepts are not appropriate when studying the multiaxial stress cycles that are frequently encountered on modem mechanical components. These multiaxial stresses arise from factors such as external loadings, the geometry of the structure, which can induce multiaxiality even if the loading is uniaxial, and finally residual stresses. (10.1016/B978-012443341-0/50052-1)
  DOI : 10.1016/B978-012443341-0/50052-1
• Utilisation de symétries géométriques totales ou partielles dans la méthode des éléments de frontière
  
  • Bonnet Marc
  , 2001, pp.659-666. No abstract provided
• On the Use of Visco-Elastodynamic BIEM Solutions for Underground Cavity Detection
  
  • Guzina B. B.
  • Nintcheu S.
  • Bonnet Marc
  , 2001, pp.491-498. No abstract provided
• Observation infrarouge de l'endommagement des cordes de tennis
  
  • Luong M. P.
  , 2001. No abstract provided
• Modélisation micromécanique de la phase lamellaire des alliages TiAl
  
  • Gélébart Lionel
  • Bretheau Thierry
  • Crépin Jérôme
  • Bornert Michel
  , 2001.
• Multidisciplinary design of woven composites
  
  • Zarka J.
  • Doux T.
  , 2001. No abstract provided
• On a predictive macroscopic contact-sliding wear model based on micromechanical considerations
  
  • Dragon-Louiset Marta
  International Journal of Solids and Structures, Elsevier, 2001, 38, pp.1625-1639. A model for the mild wear of two contacting solids and an analytical example are proposed in this article. The model includes the presence of an interface made of damaged materials, fluid and wear debris. It consists in a wear criterion, an interface law and complementary relations deduced from the mass conservation. A thermodynamical analysis provides energy-release rates associated with the evolution of the surfaces in contact and the mass fluxes due to wear. They are used as characteristic quantities in the formulation of the wear criterion and wear velocities. Given that the physics of the interface modify the global contact conditions, micromechanical considerations are developed and result in an interface law, modeling its evolution with an internal parameter: the volume fraction of wear debris. The relation between this parameter and wear velocities is obtained with the mass conservation equation, which completes the model and allows to apply it in a numerical simulation. As an example, a problem of a rigid punch sliding on an elastic worn-out half-plane is treated by means of integral equations, accounting on the presence of an interface according to the previous modeling. Stresses and strains are obtained analytically, as asymptotic expansion fields. (10.1016/S0020-7683(00)00065-2)
  DOI : 10.1016/S0020-7683(00)00065-2
• A spectral method for wave dispersion analysis. Application to an aluminum rod
  
  • Ohtman Ramzi
  • Blanc Robert
  • Bussac Marie-Noëlle
  • Collet Pierre
  • Gary Gérard
  , 2001, pp.71-76. The spectral analysis of a single wave measurement (for instance strain measurement) on a rod exhibits multiple resonant frequencies. Wave celerity is inferred from the resonance position and attenuation is deduced from the resonance bandwidth. Dispersion is therefore computed on a countable set of frequencies. This method does not need any limitation of the loading pulse. When applied to an aluminium rod, the method allows for the measurement of the damping and the dispersion relations for a frequency range up to 50 kHz. It is found out in this case that damping is non zero. Results are checked using the wave propagation description in a real rod. They show to be of a high accuracy. This method can be applied to any one-dimensional and single-mode propagating waves (for example flexural waves in beams).
• Branch crack development from the flank of a fatigue crack propagating in mode II
  
  • Doquet Véronique
  • Frelat Joël
  Fatigue and Fracture of Engineering Materials and Structures, Wiley-Blackwell, 2001, 24 (3), pp.207-214. The propagation of fatigue cracks in mode II often leads to the development of a branch starting from a crack flank, some distance behind the tip and not to the expected bifurcation at the crack tip. This type of branch is suggested to initiate by decohesion along a secondary slip plane and to grow in mode I due to the tensile component of the mode II stress field. Finite element calculations are performed to evaluate the stress intensity factors for the main crack and the branch as a function of the position of the latter. It is shown that the branch has a substantial shielding effect on the main crack and generates contact forces along its flanks. The simultaneous and competitive growth of the main crack and the branch in fatigue is simulated step by step using kinetic data for mode II and mode I obtained for a maraging steel. (10.1046/j.1460-2695.2001.00384.x)
  DOI : 10.1046/j.1460-2695.2001.00384.x
• Experimental and numerical analysis of localization during sequential test for an IF-Ti steel
  
  • Hoc Thierry
  • Rey Collette
  • Raphanel Jean
  Acta Materialia, Elsevier, 2001, 49, pp.1835-1846. Localization of plastic deformation in polycrystals often occurs after a change of loading path. An experimental study using several techniques at different scales (scanning electron microscopy, microgrids, local orientation measurements, transmission electron microscopy) has been conducted on mild steel sheets (interstitial free titanium steel) prestrained by plane tension and then deformed by uniaxial tension along the first tensile axis or the transverse axis. In this way localization has been linked to microstructural anisotropy developed during the first loading path. A model based on crystalline plasticity has then been introduced in a finite element code (Abaqus) with a description of intragranular hardening linked to the evolution of the dislocation densities on each slip system. The simulations make use of a finite element representative pattern based on actual grain distribution in the aggregate. The computations predict a localization in good agreement with the experimental data and show a link between saturation of dislocation densities and concentration of plastic deformation. (10.1016/S1359-6454(01)00076-3)
  DOI : 10.1016/S1359-6454(01)00076-3
• Compared numerical techniques for FEM-BEM coupling
  
  • Mouhoubi Saida
  • Ulmet Laurent
  • Bonnet Marc
  , 2001, pp.249-258.
• Modelling an abrasive wear experiment by the boundary element method
  
  • Serre I.
  • Bonnet Marc
  • Pradeilles-Duval R. M.
  Comptes Rendus de l'Academie des Sciences Serie II, Gauthier-Villars, 2001, 329, pp.803-808. This Note presents a computational technique for simulating friction-induced wear in a tribology experiment on a plan/plan, ring-on-disc contact configuration. The boundary element method results in modest computing times and facilitates the mesh modifications used for tracking the wear profile evolution. A typical wear simulation result is presented and discussed. (10.1016/S1620-7742(01)01402-7)
  DOI : 10.1016/S1620-7742(01)01402-7
• Fatigue Analysis of Structures during Random Loadings
  
  • Zarka J.
  • Karaouni H.
  , 2001. No abstract provided
• Homogénéisation en mécanique des matériaux, Tome 2 : Comportements non linéaires et problèmes ouverts
  
  • Bornert Michel
  • Bretheau T.
  • Gilormini P.
  , 2001, pp.250 pages.