Publications

2011

• Développement des potentiels empiriques pour les systèmes SiO2 B203 Na20
  
  • Kieu Le-Hai
  • Delaye Jean-Marc
  • Stolz Claude
  , 2011.
• Modeling radiation effects on the fracture process in simplified nuclear glass
  
  • Kieu Le-Hai
  • Delaye Jean-Marc
  • Stolz Claude
  , 2011.
• Twelve-year monitoring of the idle Etrez salt cavern
  
  • Berest Pierre
  • Bérest P.
  • Brouard Benoît
  • Hévin Grégoire
  International Journal of Rock Mechanics and Mining Sciences, Pergamon and Elsevier, 2011, Volume 48 (1), pp.168-173. (10.1016/j.ijrmms.2010.07.004)
  DOI : 10.1016/j.ijrmms.2010.07.004
• STABILITY OF SOLIDS: FROM STRUCTURES TO MATERIALS
  
  • Triantafyllidis Nicolas
  , 2011, pp.1-105. Stability is a fascinating topic in solid mechanics that has its roots in the celebrated Euler column buckling problem, which first appeared in 1744. Over the years advances in technology have led to the study of ever more complicated structures first in civil and subsequently in mechanical engineering applications. Aerospace applications, most notably failure of solid propellant rockets, led the way in the 1950s. Problems associated with materials and electronics industries came on stage in the 1970s and 1980s, starting with instabilities associated with thin films and phase transformations in shape memory alloys (SMA's), just to name some of the most preeminent examples. In a parallel path, starting in the late 19th century, mathematicians studying nonlinear differential equations, developed the concept of a bifurcation (term coined by Poincare) and created powerful techniques to study the associated singularities. They have also recognized the close association between bifurcation and symmetry in structures. It was for Koiter, beginning with his famous thesis in 1945, to connect the two communities. Amazing progress has been made since the early days of structural buckling problems and continues to be made in this field, with applications ranging from atomistic to geological scales. With the advent of new materials, the number of applications in this area continues to progress with an ever increasing pace, making it a challenge to present a first course in this topic within the short time available in one semester. The notes that follow are the first attempt to present a comprehensive, modern introduction to the subject of stability of solids. Given the time constraints, only equilibrium configurations of conservative systems will be considered here. These notes start with the introduction of the concepts of stability and bifurcation for conservative elastic systems through finite degree of freedom examples. They continue with the general theory of Lyapunov-Schmidt-Koiter (LSK) asymptotics, followed by examples from continuum mechanics. The presentation subsequently addresses the issue of scale in the stability of solids. In particular the relation between instability at the microstructural level and macroscopic properties of the solid is studied for several types of applications involving different scales: composites (fiber and particle-reinforced), cellular solids and finally SMA's, where temperature- or stress-induced instabilities at the atomic level have macroscopic manifestations visible to the naked eye.
• Effects of chemical alteration on mechanical and flow properties of a limestone, a multi-scale approach.
  
  • Zinsmeister L.
  • Dautriat J.
  • Bornert Michel
  • Dimanov A.
  • Gland N.
  • Raphanel J.
  , 2011.
• Stress field in deformed polycrystals at the micron scale.
  
  • Castelnau O.
  • Bornert Michel
  • Robach O.
  • Micha J.-S.
  • Ulrich O.
  • Chiron R.
  • Le Bourlot Christophe
  , 2010, 6, pp.35005. (10.1051/epjconf/20100635005)
  DOI : 10.1051/epjconf/20100635005
• Introduction aux techniques d'identification
  
  • Bonnet Marc
  , 2011, pp.243-266.
• The effective behavior of elastic bodies containing microcracks or microholes localized on a surface
  
  • Marigo Jean-Jacques
  • Pideri Catherine
  International Journal of Damage Mechanics, SAGE Publications, 2011, 20 (Special issue of ESMC2009), pp.pages 1151-1177. We propose a two-scale method to find the effective behavior of a three-dimensional linear elastic medium containing a series of microcracks or microholes located on a surface. The obtained effective behavior is that of a homogeneous body with, in place of the actual microdefects, a surface across which the displacements and the stresses suffer jump discontinuities. The transmission conditions are in general of Ventcel's type. The coefficients entering in these jump conditions are obtained by solving six elastic problems posed on an infinite representative cell. The theoretical analysis is illustrated by a few examples. (10.1177/1056789511406914)
  DOI : 10.1177/1056789511406914
• A computational approach for the fatigue design of threaded connections
  
  • Ferjani Mohamed
  • Averbuch Daniel
  • Constantinescu Andrei
  International Journal of Fatigue, Elsevier, 2011, 33, pp.pp. 610-623. The aim of this paper is to propose a lifetime prediction method for threaded connections. The example discussed here is a drillstring connection used in the oil and gas industry. The method is based on a mechanical analysis performed either with finite elements or a closed-form solution described in a companion paper, and a fatigue analysis using the Dang Van criterion which has been extended to finite life domain. The mechanical analysis provides the stabilized stress path and the fatigue analysis provides the fatigue life. Fatigue tests have been performed on small scale threaded connections in order to validate the methodology. The comparisons with the predictions show the difficulties to estimate the fatigue life on structures presenting high stress gradient due to scale effects. (10.1016/j.ijfatigue.2010.11.006)
  DOI : 10.1016/j.ijfatigue.2010.11.006
• Newtonian flow of heterogeneous synthetic gabbros at high strain: Grain sliding, ductile failure, and contrasting local mechanisms and interactions
  
  • Dimanov Alexandre
  • Dresen Georg
  • Raphanel J.
  European Journal of Mineralogy, Copernicus, 2011, Volume: 23 (Issue: 3), pp.Pages: 303−322. (10.1127/0935-1221/2011/0023-2110)
  DOI : 10.1127/0935-1221/2011/0023-2110
• Simulation of simplified nuclear glass fracture by molecular dynamics
  
  • Kieu Le-Hai
  • Delaye Jean-Marc
  • Stolz Claude
  , 2011.
• The air-liquid flow in a microfluidic airway tree
  
  • Song Yu
  • Baudoin Michael
  • Manneville Paul
  • Baroud Charles N.
  Medical Engineering & Physics, Elsevier, 2011, 33 (7), pp.849-856. Microfluidic techniques are employed to investigate air-liquid flows in the lung. A network of microchannels with five generations is made and used as a simplified model of a section of the pulmonary airway tree. Liquid plugs are injected into the network and pushed by a flow of air; they divide at every bifurcation until they reach the exits of the network. A resistance, associated with the presence of one plug in a given generation, is defined to establish a linear relation between the driving pressure and the total flow rate in the network. Based on this resistance, good predictions are obtained for the flow of two successive plugs in different generations. The total flow rate of a two-plug flow is found to depend not only on the driving pressure and lengths of the plugs, but also the initial distance between them. Furthermore, long range interactions between daughters of a dividing plug are observed and discussed, particularly when the plugs are flowing through the bifurcations. These interactions lead to different flow patterns for different forcing conditions: the flow develops symmetrically when subjected to constant pressure or high flow rate forcing, while a low flow rate driving yields an asymmetric flow. Copyright © 2010 IPEM. Published by Elsevier Ltd (10.1016/j.medengphy.2010.10.001)
  DOI : 10.1016/j.medengphy.2010.10.001
• Integrative Mechanobiology of Growth and Architectural Development in Changing Mechanical Environments
  
  • Moulia Bruno B.
  • Der Loughian Christelle C.
  • Bastien Renaud
  • Martin O.
  • Rodriguez M.
  • Gourcilleau Delphine
  • Barbacci A.
  • Badel Eric
  • Franchel G.
  • Lenne C.
  • Roeckel-Drevet Patricia P.
  • Allain Jean-Marc
  • Frachisse J. M.
  • de Langre Emmanuel
  • Coutand Catherine
  • Fournier-Leblanc Nathalie
  • Julien Jean-Louis J.-L.
  , 2011, 9, pp.269-302. Mechanosensitive control of plant growth is a major process shaping how terrestrial plants acclimate to the mechanical challenges set by wind, self-weight, and autostresses. Loads acting on the plant are distributed down to the tissues, following continuum mechanics. Mechanosensing, though, occurs within the cell, building up into integrated signals; yet the reviews on mechanosensing tend to address macroscopic and molecular responses, ignoring the biomechanical aspects of load distribution to tissues and reducing biological signal integration to a "mean plant cell." In this chapter, load distribution and biological signal integration are analyzed directly. The Sum of Strain Sensing model S 3 m is then discussed as a synthesis of the state of the art in quantitative deterministic knowledge and as a template for the development of an integrative and system mechanobiology. (10.1007/978-3-642-19091-9_11)
  DOI : 10.1007/978-3-642-19091-9_11
• Punch Indentation of Polyurea at Different Velocities: Experiments and Simulations
  
  • Shim J.
  • Mohr Dirk
  Mechanics of Materials, Elsevier, 2011, pp.349-360.
• Effect of Stress Triaxiality and Lode Angle on the Kinetics of Strain-induced Austenite-to-Martensite Transformation
  
  • Beese A.M.
  • Mohr Dirk
  Acta Materialia, Elsevier, 2011, pp.2589-2600.
• Legendre-Fenchel duality in elasticity
  
  • Ciarlet Philippe G.
  • Geymonat Giuseppe
  • Krasucki Françoise
  Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2011, 349, pp.597-602. We show that the displacement and strain formulations of the displacement-traction problem of three-dimensional linearized elasticity can be viewed as Legendre-Fenchel dual problems to the stress formulation of the same problem. We also show that each corresponding Lagrangian has a saddle-point, thus fully justifying this new approach to elasticity by means of Legendre-Fenchel duality. (10.1016/j.crma.2011.03.007)
  DOI : 10.1016/j.crma.2011.03.007
• Semianalytical solution for the stress distribution in notched tubes
  
  • Ferjani Mohamed
  • Averbuch Daniel
  • Constantinescu Andrei
  International Journal of Fatigue, Elsevier, 2011, 33, pp.pp. 557-567. The aim of this paper is to present an alternative solution to the finite element method for the determination of the elastic stress field for an axi-symmetric notched tube under tension and bending loadings. The proposed solution is an extension of the work of Filippi and Lazzarin (2004) [8] to tubular specimens. It provides the stress field distribution along the notch bisector. A good agreement was found between the solution proposed in the present paper and the results from a finite element analysis. A sensitivity analysis is performed to establish the domain of validity of the solution with respect to the dimensions of the notched tube. (10.1016/j.ijfatigue.2010.10.009)
  DOI : 10.1016/j.ijfatigue.2010.10.009
• Hydromechanical behavior of heterogeneous carbonate rock under proportional triaxial loadings
  
  • Dimanov Alexandre
  • Dautriat Jérémie
  • Gland N.
  • Raphanel J.
  Journal of Geophysical Research, American Geophysical Union, 2011, 116 (B01205), pp.DOI: 10.1029/2009JB000830. (10.1029/2009JB000830)
  DOI : 10.1029/2009JB000830
• In-situ X-ray microtomography characterization of damage in SiC/SiC minicomposites
  
  • Chateau Camille
  • Gélébart Lionel
  • Bornert Michel
  • Crépin Jérôme
  • Boller Elodie
  • Sauder C.
  • Ludwig Wolfgang
  Composites Science and Technology, Elsevier, 2011, 71 (6), pp.916-924. The purpose of the present study is to characterize matrix crack propagation and fiber breaking occurrences within SiC/SiC minicomposite in order to validate later on a multiscale damage model at the local scale. An in-situ X-ray microtomography tensile test was performed at the European Synchrotron Radiation Facility (ESRF, ID19 beamline) in order to obtain 3-dimensional (3D) images at six successive loading levels. Results reveal a slow and discontinuous propagation of matrix cracks, even after the occurrence of matrix crack saturation. A few fiber failures were also observed. However, radiographs of the whole length (14 mm) of the minicomposites under a load and after the failure were more appropriate to get statistical data about fiber breaking. Thus, observations before the ultimate failure revealed only a few fibers breaking homogenously along the minicomposite. In addition, an increase in fiber breaking density in the vicinity of the fatal matrix crack was observed after failure. These experimental results are discussed in regards to assumptions used in usual 1-dimensional (1D) models for minicomposites. (10.1016/j.compscitech.2011.02.008)
  DOI : 10.1016/j.compscitech.2011.02.008