Laboratoire de mécanique des solides

Publications

2003

  • Analyse fréquentielle de la fatigue des structures
    • Moumni Ziad
    • Maitournam Habibou
    • Dang Van Ky
    , 2003, pp.191-198.
  • Identification of behavior by inverse method performed on local deformation, Dislocations plasticity and metal forming
    • Hoc T.
    • Crépin Jérôme
    • Zaoui A.
    , 2003, pp.433-435. No abstract provided
  • Growth and cellular differentiation: a physical-biochemical conundrum? The example of the hand
    • Schwartz Laurent H
    • Maitournam Habibou
    • Stolz C.
    • Steayert J. M.
    • Ho Ba Tho Marie-Christine
    • Halphen Bernard
    Medical Hypotheses, Elsevier, 2003, 61, pp.45-51. Currently, the predominant hypothesis explains cellular differentiation as an essentially genetic intracellular process. The goal of this paper is to suggest that cell growth and differentiation may be, simply, the result of physical and chemical constraints. Bone growth occurs at the level of cartilage conjunction (growth plate) in a zone of lesser constrain. It appears that this growth also induces muscle, tendon, nerve and skin elongation. This cartilage growth by itself seems to explain the elongation of the hand. Growth stops at puberty likely because of feed-back from an increasing muscle load. The ossification (that is differentiation of cartilage into bone) appears to result from the shear stress induced. The study of bone age, obtained by X-ray picture of the hand, shows that ossification of epiphyses is very precise both in time and space. Computer modelization suggests that this ossification occurs where shear stress is greatest. The cartilage which does not ossify (joint, nose, larynx, ear, bronchus, etc.) is not exposed to high shear. Shear stress induces the secretion of extracellular matrix and a change of the biochemical environment of the cell. Precipitation of calcium phosphate, as in ossification, seems related to the alkalosis induced by shear stress. To speak in more general terms, loss of cellular differentiation, as occurs with cancer, can result from a change in the physical–chemical environments. (10.1016/S0306-9877(03)00102-6)
    DOI : 10.1016/S0306-9877(03)00102-6
  • An estimate of maximum ground surface motion
    • Pecker Alain
    Comptes Rendus. Mécanique, Académie des sciences (Paris), 2003, 331, pp.661-666. The increasing need for probability seismic hazard assessment (PSHA) of critical facilities sometimes leads to unrealistic earthquake scenarios with very high induced ground motions. From a physical standpoint these high motions cannot exist because of the limiting resistance capacity of the soil strata through which the seismic waves travel. A simple analytical model is proposed to estimate a bound to the maximum ground surface acceleration that any soil deposit can transfer. (10.1016/j.crme.2003.08.001)
    DOI : 10.1016/j.crme.2003.08.001
  • Nonhydrostatic stabilization of an orthorhombic phase of zirconia
    • Fadda Giuseppe
    • Truskinowsky Lev
    • Zanzotto Giovanni
    Physical Review B: Condensed Matter and Materials Physics (1998-2015), American Physical Society, 2003, 68 (13). An explicit polynomial strain-energy function for tetragonal-orthorhombic-monoclinic zirconia (ZrO2), calibrated from the conventional hydrostatic p−T phase diagram, is used to study the effects of nonhydrostatic loading on the phase equilibria in this material. Several representative sections of the phase diagram of ZrO2 in temperature and stress space, containing both triple and critical points, are computed. A new orthorhombic structure of ZrO2 is predicted to be the most stable phase for a variety of experimentally accessible shear loads, in a wide range of temperatures and pressures. (10.1103/PhysRevB.68.134106)
    DOI : 10.1103/PhysRevB.68.134106
  • Explicit Kinetic Relation from “First Principles”
    • Truskinovsky L.
    • Vainchtein A.
    , 2003. We study a fully inertial discrete model of a martensitic phase transition which takes into account interactions of first and second nearest neighbors. Although the model is Hamiltonian at the microscale, it generates a nontrivial macroscopic relation between the velocity of the martensitic phase boundary and the conjugate configurational force. The apparent dissipation is due to the induced radiation of lattice waves carrying energy away from the front. (10.1007/0-387-26261-X_5)
    DOI : 10.1007/0-387-26261-X_5
  • A study of cellular structures under impact loading
    • Abdennadher Salim
    • Zhao Han
    • Othman Ramzi
    , 2003. This paper presents the effect of inertia of cellular structures under impact loading. Experimental results under static and dynamic loading will be presented for square tubes made of a rate quasi-insensitive material (brass), the dynamic results being obtained using modified split Hopkinson pressure bar technique. The numeric simulation under Ls-dyna of those tests giving similar results will be also presented. Presented experimental, numeric results show that the inertia effect is a dominant factor responsible for the enhancement of crushing strength of cellular structures. (10.1051/jp4:20020733)
    DOI : 10.1051/jp4:20020733
  • A computational basis for elastodynamic cavity identification in a semi-infinite solid
    • Nintcheu Fata Sylvain
    • Guzina Bojan B
    • Bonnet Marc
    Computational Mechanics, Springer Verlag, 2003, 32, pp.370-380. The focus of this paper is a computational platform for the non-intrusive, active seismic imaging of subterranean openings by means of an elastodynamic boundary integral equation (BIE) method. On simulating the ground response to steady-state seismic excitation as that of a uniform, semi-infinite elastic solid, solution to the 3D inverse scattering problem is contrived as a task of minimizing the misfit between experimental observations and BIE predictions of the surface ground motion. The forward elastodynamic solution revolves around the use of the half-space Greenrsquos functions, which analytically incorporate the traction-free boundary condition at the ground surface and thus allow the discretization and imaging effort to be focused on the surface of a hidden cavity. For a rigorous approach to the gradient-based minimization employed to resolve the cavity, sensitivities of the trial boundary element model with respect to (geometric) void parameters are evaluated using an adjoint field approach. Details of the computational treatment, including the regularized (i.e. Cauchy principal value-free) boundary integral equations for the primary and adjoint problem, the necessary evaluation of surface displacement gradients and their implementation into a parallel code, are highlighted. Through a suite of numerical examples involving the identification of an ellipsoidal cavity, a parametric study is presented which illustrates the importance of several key parameters on the imaging procedure including the prior information, ldquomeasurementrdquo noise, and the amount of experimental input. (10.1007/s00466-003-0494-4)
    DOI : 10.1007/s00466-003-0494-4
  • Mobility of lattice defects: discrete and continuum approaches
    • Kresse Olga
    • Truskinovsky Lev
    Journal of the Mechanics and Physics of Solids, Elsevier, 2003, 51, pp.1305-1332. In this paper, we study a highly idealized model of a moving lattice defect allowing for an explicit, “first principles” computation of a functional relation between the macroscopic configurational force and the velocity of the defect. The discrete model is purely conservative and contains information only about elasticities of the constitutive elements. The apparent dissipation is due to the presence of microinstabilities and the nonlinearity-induced tunneling of the energy from long to short wavelengths. This type of “radiative damping” is believed to be generic and accounting for a considerable fraction of inelastic irreversibility associated with fracture, plasticity and phase transitions. The paper contains direct comparison of the exact lattice solution with various continuum and quasicontinuum approximations. Despite its simplicity, the model can be used directly for the description of dynamic phase transitions in thin films. (10.1016/S0022-5096(03)00019-X)
    DOI : 10.1016/S0022-5096(03)00019-X
  • Transmissibilité vibratoire d'un matériau de recyclage
    • Luong M. P.
    • Eytard J. C.
    • Khay M.
    • Vinceslas G.
    • Papachristou D.
    , 2003, pp.349-356 (tome 1). No abstract provided
  • Méthode numérique pour l'identification de cavités enterrées à l'aide de données élastodynamiques
    • Bonnet Marc
    • Guzina Bojan B
    • Nintcheu Fata Sylvain
    , 2003, 1, pp.209-216.
  • Modélisation du comportement dynamique d'une courroie de distribution
    • Bourgeois M.
    • Thomas J.-J.
    • Stolz Claude
    , 2003, pp.189-196 (tome 2). No abstract provided
  • Simulation of stage I fatigue crack gowth in a polycrystal through coupled FEM and discrete dislocation dynamics
    • Bertolino Graciela
    • Doquet Véronique
    • Sauzay Maxime
    , 2003. An attempt to model the variability of short crack development in high-cycle fatigue is made by coupling finite element computations of the stresses ahead of a microcrack in a polycrystal with simulations of crack growth along slip planes based on discrete dislocations dynamics. The model predicts a large scatter in growth rates related to the crystallographic disorientations along the crack path. It also describes qualitatively the influence of the mean grain size and the fact that overloads may suppress the endurance limit by allowing arrested cracks to cross the grain boundaries.
  • Investigation of hydrogen and creep contributions to the abnormal fatigue cracking of Ti6246 at high Kmax
    • Mignot Frédéric
    • Doquet Véronique
    • Sarrazin-Baudoux Christine
    • Petit Jean
    • Raimbault Louis
    , 2003.
  • Explicit kinetic relation from `first principles
    • Truskinovsky L.
    • Vainchtein A.
    , 2003.
  • Stability and bifurcation with moving discontinuities
    • Stolz Claude
    • Pradeilles-Duval Rachel-Marie
    , 2003, pp.261-268. The propagation of moving surface inside a body is analysed in the framework of thermodynamics, when the moving surface is associated with an irreversible change of mechanical properties. The thermodynamical force associated to the propagation has the form of an energy release rate. Quasistatic rate boundary value problem is given when the propagation of the interface is governed by a normality rule. Extension to generalised media to study delamination is also investigated. (10.1007/0-387-26261-X_26)
    DOI : 10.1007/0-387-26261-X_26
  • Combined experimental and modelling approaches to the micromechanics of polycrystals and composites
    • Bornert Michel
    • Crépin Jérôme
    • Zaoui André
    , 2003.
  • Safety of salt caverns used for underground storage. Blow out ; mechanical instability ; seepage ; cavern abandonment
    • Bérest Pierre
    • Brouard Benoît
    Oil & Gas Science and Technology - Revue d'IFP Energies nouvelles, Institut Français du Pétrole (IFP), 2003, 58, pp.361-384. Thousands of salt caverns (100 in France alone) are being used to store hydrocarbons. This is the safest way to store large quantities of hydrocarbons: salt formations are almost perfectly impermeable, and fire or explosion is impossible underground. However, a small number of accidents (blow-out, product seepage, cavern instability) have occurred in the past. Cavern abandonment is also a concern in some cases. This paper describes several accidents and the lessons that have been drawn from them, leading to considerable improvements in storage design and operation. (10.2516/ogst:2003023)
    DOI : 10.2516/ogst:2003023
  • Activation of diffuse discontinuities and folding of sedimentary layers
    • Guiton Martin
    • Leroy Yves
    • Sassi William
    Journal of Geophysical Research : Solid Earth, American Geophysical Union, 2003, 108 (B4), pp.1-20. Folding of sedimentary layers is often accommodated by the opening or sliding of inherited and new discontinuities which are assumed here to be diffuse so that a continuum description applies at the fold scale. The rock rheology is then described with an elastoplasticity model for which the permanent deformation is of simple shear (sliding) or dilation (opening) with respect to specific orientations of the new or inherited diffuse discontinuities. To illustrate the relation between folding and activation of diffuse discontinuities, a three-dimensional layer under compression in the two horizontal directions and sustaining the overburden lithostatic pressure is studied. Cylindrical buckling occurs either before (elastic) or after the diffuse discontinuities have been activated. If buckling is elastic, inherited vertical discontinuities, striking obliquely to the fold geometrical axes, are activated in a sliding mode in the outer arc, leading to a rotation of the principal stress directions. Opening is then detected across new vertical planes striking obliquely to the fold axis. The activation of inherited or new vertical discontinuities can be suppressed if sliding takes place along weak bedding interfaces. Alternatively, early and homogeneous layer-parallel shortening, marked by a reverse fault mode, drastically reduces the critical buckling load compared to the Euler load and modifies the final geometry of buckling which is then more of a circular dome shape. The switching in buckling mode results in the fold limbs in a change from the early reverse fault to a strike-slip fault sliding and to opening across diffuse planes oriented consistently with the final circular structure. (10.1029/2002JB001770)
    DOI : 10.1029/2002JB001770
  • 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
  • Ondes adhérence-glissement-décollement sous contact unilatéral frottant
    • Oueslati Abdelbacet
    • Nguyen Quoc Son
    • Baillet Laurent
    Comptes Rendus. Mécanique, Académie des sciences (Paris), 2003, 331 (2), pp.133-140. Il s'agit d'une étude numérique sur la réponse dynamique d'un système de deux cylindres coaxiaux, en rotation relative avec contact unilatéral frottant suivant la loi de Coulomb. On complète les résultats semi-analytiques antérieurs obtenus dans Moirot, Nguyen, C. R. Acad. Sci. Paris Sér. IIb 328 (2000) 663–669, sur les ondes adhérence–glissement en simulant par le calcul numérique la transition dynamique du système à partir d'un état initial quelconque vers la propagation d'une onde de surface. Le cas des ondes adhérence–glissement–décollement est examiné. (10.1016/S1631-0721(02)00009-8)
    DOI : 10.1016/S1631-0721(02)00009-8
  • 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
  • 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
  • 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
  • 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