Mots-clés

Co-auteurs

Identifiants chercheur

Nombre de documents

64

Nathalie Limodin, Chargée de recherche CNRS


  • Affiliation: Laboratoire de Mécanique Multiphysique Multiéchelle (LaMcube) FRE CNRS 2016
  • Théme : Fatigue des matériaux métalliques - analyse et quantification par tomographie à rayons X et mesures de champs

 


Article dans une revue30 documents

  • Bartali El, Nora Dahdah, Wang Long, Nathalie Limodin, Jean‐françois Witz, et al.. Amorçage et propagation de fissures de fatigue dans un alliage Al‐Si A319 lors d'essais in situ de fatigue oligocyclique sous tomographie synchrotron. S24‐Fissuration en fatigue, 2017. 〈hal-01669965〉
  • Zaidao Li, Nathalie Limodin, Amina Tandjaoui, Philippe Quaegebeur, Jean-François Witz, et al.. Influence of Fe content on the damage mechanism in A319 aluminum alloy: Tensile tests and digital image correlation. Engineering Fracture Mechanics, Elsevier, 2017, 183, pp.94 - 108. 〈10.1016/j.engfracmech.2017.05.006〉. 〈hal-01612304〉
  • Jerome Hosdez, J-F Witz, C. Martel, N. Limodin, D. Najjar, et al.. Fatigue crack growth law identification by Digital Image Correlation and electrical potential method for ductile cast iron. Engineering Fracture Mechanics, Elsevier, 2017. 〈hal-01665676〉
  • Zaidao Li, Nathalie Limodin, Amina Tandjaoui, Philippe Quagebeur, Pierre Osmond, et al.. Influence of Sr, Fe and Mn content and casting process on the microstructures and mechanical properties of AlSi7Cu3 alloy. Materials Science and Engineering: A, Elsevier, 2017, 689, pp.286-297. 〈10.1016/j.msea.2017.02.041〉. 〈hal-01487719〉
  • Zaidao Li, Nathalie Limodin, Amina Tandjaoui, Philippe Quaegebeur, Jean-François Witz, et al.. Damage investigation in A319 aluminum alloy by digital image correlation during in-situ tensile tests. Procedia Structural Integrity, 2016, 2, pp.3415 - 3422. 〈10.1016/j.prostr.2016.06.426〉. 〈hal-01612317〉
  • Nora Dahdah, Nathalie Limodin, Ahmed El Bartali, Jean-François Witz, Rian Seghir, et al.. Influence of the Casting Process in High Temperature Fatigue of A319 Aluminium Alloy Investigated By In-Situ X- Ray Tomography and Digital Volume Correlation. Procedia Structural Integrity, 2016, 2, pp.3057 - 3064. 〈10.1016/j.prostr.2016.06.382〉. 〈hal-01612309〉
  • Long Wang, Nathalie Limodin, Ahmed El Bartali, Jean-Francois Witz, Rian Seghir, et al.. Influence of pores on crack initiation in monotonic tensile and cyclic loadings in lost foam casting A319 alloy by using 3D in-situ analysis. Materials Science and Engineering, Elsevier, 2016, 673, pp.362-372. 〈10.1016/j.msea.2016.07.036〉. 〈hal-01433827〉
  • Nora Dahdah, Nathalie Limodin, Ahmed El Bartali, Jean-Francois Witz, Rian Seghir, et al.. Damage Investigation in A319 Aluminium Alloy by X-ray Tomography and Digital Volume Correlation during In Situ High-Temperature Fatigue Tests. Strain, Wiley-Blackwell, 2016, 52 (4), pp.324-335. 〈10.1111/str.12193〉. 〈hal-01419328〉
  • Sébastien Dezecot, Jean-Yves Buffiere, Alain Köster, Vincent Maurel, Fabien Szmytka, et al.. In situ 3D characterization of high temperature fatigue damage mechanisms in a cast aluminum alloy using synchrotron X-ray tomography. Scripta Materialia, Elsevier, 2016, 113, pp.254-258. 〈10.1016/j.scriptamat.2015.11.017〉. 〈hal-01255815〉
  • Pauline Lecomte-Grosbras, Julien Réthoré, Nathalie Limodin, Jean-Francois Witz, Mathias Brieu. Three-Dimensional Investigation of Free-Edge Effects in Laminate Composites Using X-ray Tomography and Digital Volume Correlation. Experimental Mechanics, Society for Experimental Mechanics, 2015, 55 (1), pp.301-311. 〈10.1007/s11340-014-9891-1〉. 〈hal-01205922〉
  • N. Limodin, Ahmed El Bartali, Wang Long, J. Lachambre, Jean-Yves Buffiere, et al.. Application of X-ray microtomography to study the influence of the casting microstructure upon the tensile behaviour of an Al-Si alloy. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Elsevier, 2014, 324, pp.57-62. 〈10.1016/j.nimb.2013.07.034〉. 〈hal-00955455〉
  • Julien Réthoré, N. Limodin, Jean-Yves Buffiere, Stéphane Roux, François Hild. Three-dimensional Analysis of Fatigue Crack Propagation using X-Ray Tomography, Digital Volume Correlation and Extended Finite Element Simulations. Procedia IUTAM, cElsevier, 2012, 4, pp.151-158. 〈10.1016/j.piutam.2012.05.017〉. 〈hal-00717486〉
  • François Hild, Stephane Roux, Marie‐christine Baïetto‐dubourg, Alain Combescure, Anthony Gravouil, et al.. " Radioscopies" d'une fissure de fatigue. Instrumentation, Mesure, Métrologie, Lavoisier, 2012, 12 (1-2), pp.131-152. 〈10.3166/I2M.12.1-2.131-152〉. 〈hal-01668798〉
  • François Hild, Stéphane Roux, Marie-Christine Baietto, Alain Combescure, Anthony Gravouil, et al.. " Radioscopies " d'une fissure de fatigue. Instrumentation, Mesure, Métrologie, Lavoisier, 2012, 12 (1-2), pp.131-152. 〈10.3166/I2M.12.1-2.131-152〉. 〈hal-00713478〉
  • Nathalie Limodin, Julien Réthoré, Jérôme Adrien, Jean-Yves Buffiere, François Hild, et al.. Analysis and artifact correction for volume correlation measurements using tomographic images from a laboratory X-ray source. Experimental Mechanics, Society for Experimental Mechanics, 2011, 51 (6), pp.959-970. 〈10.1007/s11340-010-9397-4〉. 〈hal-00521190〉
  • N. Limodin, Julien Réthoré, Jean-Yves Buffiere, François Hild, Wolfgang Ludwig, et al.. 3D X-ray Microtomography Volume Correlation to Study Fatigue Crack Growth. Advanced Engineering Materials, Wiley-VCH Verlag, 2011, 13 (3), pp.186-193. 〈10.1002/adem.201000235〉. 〈hal-00818812〉
  • Julien Réthoré, Nathalie Limodin, Jean-Yves Buffiere, François Hild, Wolfgang Ludwig, et al.. Digital volume correlation analyses of synchrotron tomographic images. Journal of Strain Analysis for Engineering Design, SAGE Publications, 2011, 46, pp.683-695. 〈10.1177/0309324711409999〉. 〈hal-00624446〉
  • Luc Salvo, Michel Suéry, Ariane Marmottant, Nathalie Limodin, Dominique Bernard. 3D imaging in material science: Application of X-ray tomography. Comptes Rendus Physique, Elsevier Masson, 2010, 11 (9-10), pp.641-649. 〈10.1016/j.crhy.2010.12.003〉. 〈hal-00569350〉
  • L. Salvo, M. Suéry, A. Marmottant, N. Limodin, D. Bernard. 3D imaging in material science: Application of X-ray tomography. Comptes Rendus Physique, Elsevier Masson, 2010, 11 (9-10), pp.641-649. 〈10.1016/j.crhy.2010.12.003〉. 〈hal-00572506〉
  • Jean‐yves Buffiere, Nathalie Limodin, Julien Réthoré, Wolfgang Ludwig, Anthony Gravouil, et al.. 3 D Characterisation of Fatigue Cracks Using X‐Ray Tomography: From Synchrotron to Laboratory Sources. Minerals, Metals and Materials Society/AIME, 420 Commonwealth Dr., P. O. Box 430 Warrendale PA 15086 USA.[np]. 14‐18 Feb, 2010. 〈hal-01668805〉
  • Nathalie Limodin, Julien Rethore, Jean-Yves Buffiere, Francois Hild, Stephane Roux, et al.. Influence of closure on the 3D propagation of fatigue cracks in a nodular cast iron investigated by X-ray tomography and 3D volume correlation. Acta Materialia, Elsevier, 2010, 58 (8), pp.2957-2967. 〈10.1016/j.actamat.2010.01.024〉. 〈hal-00453971v2〉
  • Johann Rannou, Nathalie Limodin, Julien Rethore, Anthony Gravouil, Wolfgang Ludwig, et al.. Three dimensional experimental and numerical multiscale analysis of a fatigue crack. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2010, 199, pp.1307-1325. 〈10.1016/j.cma.2009.09.013〉. 〈hal-00430486v2〉
  • N. Limodin, L. Salvo, M. Suery, F. Delannay. Capillary equilibrium in a semi-solid Al-Cu slurry. International Journal of Materials Research, 2009, 100 (10), pp.1389-1445. 〈hal-00389069〉
  • Nathalie Limodin, Luc Salvo, E. Boller, Michel Suéry, M. Felberbaum, et al.. In situ and real-time 3-D microtomography investigation of dendritic solidification in an Al–10 wt.% Cu alloy. Acta Materialia, Elsevier, 2009, 57, pp.2300-2310. 〈10.1016/j.actamat.2009.01.035〉. 〈hal-00378057〉
  • S Terzi, L Salvo, M Suéry, N Limodin, J Adrien, et al.. In situ X‐ray tomography observation of inhomogeneous deformation in semi‐solid aluminium alloys. Scripta Materialia, Elsevier, 2009, 61 (5), pp.449--452. 〈hal-01668898〉
  • N. Limodin, L. Salvo, M. Suéry, F. Delannay. Assessment by microtomography of 2D image analysis methods for the measurement of average grain coordination and size in an aggregate. Scripta Materialia, Elsevier, 2009, 60, pp.325-328. 〈hal-00389064〉
  • S. Terzi, L. Salvo, M. Suéry, N. Limodin, J. Adrien, et al.. In situ X-ray tomography observation of inhomogeneous deformation in semi-solid aluminum alloys. Scripta Materialia, Elsevier, 2009, 61 (5), pp.449-452. 〈10.1016/j.scriptamat.2009.04.041〉. 〈hal-00389094〉
  • Nathalie Limodin, Julien Réthoré, Jean-Yves Buffiere, Anthony Gravouil, François Hild, et al.. Crack closure and stress intensity factor measurements in nodular graphite cast iron using three-dimensional correlation of laboratory X-ray microtomography images. Acta Materialia, Elsevier, 2009, 57, pp.4090-4101. 〈hal-00410325〉
  • N. Limodin, L. Salvo, E. Boller, M. Suéry, M. Felderbaum, et al.. In situ real-time 3-D microtomography investigation of dendritic solidification in an Al-10wt.% Cu alloy.. Acta Materialia, Elsevier, 2009, 57, pp.2300-2310. 〈hal-00457075〉
  • N. Limodin, L. Salvo, M. Suéry, M. Dimichiel. In situ investigation by X-Ray tomography of the overall and local microstructural changes occurring during partial remelting of an Al-15.8 wt.%Cu alloy. Acta Materialia, Elsevier, 2007, 55, pp.3177-3191. 〈hal-00197082〉

Communication dans un congrès31 documents

  • Jerome Hosdez, Médéric Langlois, Jean-Francois Witz, Nathalie Limodin, Denis Najjar, et al.. A cyclic plasticity study by coupling Digital Image Correlation and Finite Elements methods. Photomechanics 2018, Mar 2018, Toulouse, France. 2018. 〈hal-01807462〉
  • Nathalie Limodin, Long Wang, Nora Dahdah, Ahmed El Bartali, Jean-Francois Witz, et al.. Low Cycle Fatigue of a Lost Foam Cast Al-Si-Cu alloy: study of the damage mechanisms with X-ray tomography and Digital Volume Correlation. Fatigue 2018, May 2018, Poitiers, France. 2018, 〈http://fatigue2018.events-sudcongresconseil.com/AbstractList.aspx?e=676&preview=1&aig=-1&ai=16385〉. 〈hal-01807449〉
  • N Dahdah, N Limodin, A El Bartali, Jf Witz, E Charkaluk, et al.. CHARACTERISATION OF 3D DAMAGE MECHANISMS OF A CAST AL ALLOY DURING IN‐SITU HIGH TEMPERATURE LOW CYCLE FATIGUE TESTS USING SYNCHROTRON X‐RAY TOMOGRAPHY AND DIGITAL VOLUME CORRELATION. The Abstracts of ICTMS 2017, 2017, Unknown, Unknown Region. 2017. 〈hal-01669924〉
  • Jerome Hosdez, Jean-Francois Witz, Nathalie Limodin, Denis Najjar, Eric Charkaluk. Détermination d'une loi de propagation de fissure de fatigue et étude de la plasticité cyclique par Corrélation d'Images Numériques. Association Française de Mécanique. 23ème Congrès Français de Mécanique, Aug 2017, Lille, France. 2017, CFM2017 - S24-Fissuration en fatigue. 〈hal-01681094〉
  • Nathalie Limodin, Long Wang, Nora Dahdah, Ahmed El Bartali, Jean-Francois Witz, et al.. Isothermal low cycle fatigue of a lost foam cast Al-Si-Cu alloy: study of the damage mechanisms with synchrotron X-ray tomography and Digital Volume Correlation. LCF8 Eighth International Conference on Low Cycle Fatigue, Jun 2017, Dresden, Germany. DVM, pp.41, 2017, LCF8 Eighth International Conference on Low Cycle Fatigue. 〈hal-01617612〉
  • Long Wang, Nora Dahdah, Nathalie Limodin, Ahmed El Bartali, Jean-Francois Witz, et al.. Application de la tomographie à rayons X à la caractérisation de la microstructure et des mécanismes d'endommagement d'un alliage AlSi7Cu3. XIIe Colloque Rayons X et Matière, Nov 2017, Lille, France. XIIe Colloque Rayons X et Matière, recueil des résumés, pp.91, 2017, 〈http://www.rayonsxetmatiere.org/wp-content/uploads/2017/11/RX2017-recueil_des_resumes_final_LR.pdf〉. 〈hal-01736338〉
  • Jerome Hosdez, Médéric Langlois, Jean-Francois Witz, Nathalie Limodin, Denis Najjar, et al.. Développement d'une technique de couplage de Corrélation d'Images et de Méthode des Éléments Finis appliquée à la fissuration en fatigue. 13e colloque national en calcul des structures, May 2017, Giens, Var, France. 〈hal-01926335〉
  • Jerome Hosdez, Jean-Francois Witz, Nathalie Limodin, Denis Najjar, Eric Charkaluk. Determination of a fatigue crack growth law and the influence of the local plasticity by using Digital Image Correlation. 21st European Conference on Fracture, ECF21, Jun 2016, Catania, Italy. 〈hal-01736330〉
  • Nathalie Limodin, Long Wang, Nora Dahdah, Ahmed El Bartali, Jean-Francois Witz, et al.. Analysis of fatigue cracks initiation and growth in an Al-Si-Cu alloy using in-situ fatigue tests under synchrotron x-ray tomography coupled with digital volume correlation. International Conf. on Fatigue Damage of Structural Materials XI, Sep 2016, Hyannis, United States. 2016. 〈hal-01736334〉
  • Jerome Hosdez, Jean-Francois Witz, Nathalie Limodin, Denis Najjar, Eric Charkaluk. Détermination d'une loi de propagation de fissure de fatigue par corrélation d'images numériques. Association Française de Mécanique. 22ème Congrès Français de Mécanique, Aug 2015, Lyon, France. http://hdl.handle.net/2042/57238, 2015, CFM 2015 - S11 Couplage modélisation / expérimentation en mécanique des matériaux, mesure de champs. 〈hal-01681110〉
  • Ahmed El Bartali, Long Wang, Nora Dahdah, Nathalie Limodin, Jean-Francois Witz, et al.. Influence of the casting microstructure on LCF damage mechanisms in an Al-Si alloy using X-ray tomography. 26th Colloquium on Fatigue mechanisms, Mar 2015, Brno, Czech Republic. 26th Colloquium on Fatigue mechanisms (Abstracts only), 2015. 〈hal-01736324〉
  • Nathalie Limodin, Long Wang, Nora Dahdah, Ahmed El Bartali, Jean-Francois Witz, et al.. In situ fatigue tests under X-ray tomography: damage mechanisms in a cast Aluminium Silicon alloy. 9th European Solid Mechanics Conference (ESMC 2015), Jul 2015, Leganes-Madrid, Spain. ESMC 2015 (Abstracts only), pp.676, 2015. 〈hal-01736327〉
  • Nora Dahdah, Nathalie Limodin, Ahmed El Bartali, Jean-Francois Witz, Rian Seghir, et al.. Study of damage mechanisms in A319 aluminium alloy by X-ray tomography and Digital Volume Correlation. Photomechanics, May 2015, Delft, Netherlands. 2015, Photomechanics 2015. 〈hal-01729131〉
  • Long Wang, Nathalie Limodin, Ahmed El Bartali, Eric Charkaluk, Jean-Yves Buffiere. Coupling of experimental measurements to study the influence of microscopic defects on the fatigue damage in A319 Al-Si alloy. FDMD II - JIP 2014 - Fatigue Design & Material Defects, Jun 2014, Paris, France. 12, 2014, 〈10.1051/matecconf/20141204012〉. 〈hal-01612313〉
  • F. Szmytka, N. Limodin, L. Wang, P. Osmond, J. Adrien, et al.. Probabilistic thermal-mechanical fatigue criterion for lost foam casting aluminium alloys based on 2D/3D porosities distribution. FDMD II - JIP 2014 - Fatigue Design & Material Defects, Jun 2014, Paris, France. 12, 2014, 〈10.1051/matecconf/20141205005〉. 〈hal-01612327〉
  • Nora Dahdah, Nathalie Limodin, Ahmed El Bartali, Jean‐françois Witz, Rian Seghir, et al.. Influence of the Lost Foam Casting Microstructure on Low Cycle Fatigue Damage of A319 Aluminum Alloy. Proceedings of the 2nd International Congress on 3D Materials Science, 2014, Unknown, Unknown Region. pp.97--102, 2014. 〈hal-01668786〉
  • Long Wang, Nathalie Limodin, Ahmed El Bartali, Julien Réthoré, Jean‐françois Witz, et al.. Influence of the Casting Microstructure upon the Tensile Behaviour in A319 Al‐Si Alloy Investigated by X‐Ray Tomography and Digital Volume Correlation. Proceedings of the 2nd International Congress on 3D Materials Science, 2014, Unknown, Unknown Region. pp.73--78, 2014. 〈hal-01668787〉
  • Anne-Lise Cristol, Nathalie Limodin, Nesrine Hentati, Nicolas Lejay, Grégory Hauss, et al.. Impact of hot molding on microstructure of a friction material. Eurobrake 2014 Conference Proceedings, May 2014, Lille, France. Eurobrake 2014 Conference Proceedings (USB key), 2014. 〈hal-01736315〉
  • Ahmed El Bartali, Nathalie Limodin, Long Wang, Eric Charkaluk. Microstructural strain heterogeneities during low cycle fatigue. LCF7, 7th International Conference on Low Cycle Fatigue, Sep 2013, Aachen, Germany. The proceedings of LCF7, 2013. 〈hal-01736267〉
  • François Hild, Stéphane Roux, Marie-Christine Baietto, Alain Combescure, Anthony Gravouil, et al.. De la corrélation d’images volumiques à la mécanique du matériau. Journées Matériaux Numériques, Feb 2013, Loches, France. 〈hal-01385672〉
  • Nathalie Limodin, Ahmed El Bartali, Long Wang, J. Lachambre, Eric Charkaluk. Application of X-ray microtomography to study the influence of the casting microstructure upon the tensile behaviour of an Al-Si alloy. Tomography of Materials and Structures : book of abstracts, Jul 2013, Ghent, Belgium. Tomography of Materials and Structures : book of abstracts, 2013, 〈 http://hdl.handle.net/1854/LU-4209930〉. 〈hal-01736294〉
  • Pauline Lecomte-Grosbras, Julien Réthoré, Nathalie Limodin, Jean-François Witz, Mathias Brieu. Etude tridimensionnelle des singularités de bord libre dans les composites stratifiés. 11e colloque national en calcul des structures, May 2013, Giens, France. 2013. 〈hal-01722061〉
  • Alain Combescure, Anthony Gravouil, Julien Réthoré, J.-Y. Buffières, Nathalie Limodin, et al.. 3D fatigue crack propagation understanding through a combined use of 3D X Tomography, eXtended-Finite Element Method and eXtended-Digital image correlation. International Conference on Fatigue Damage of Structural Materials VIII, Sep 2010, Hyannis (MA), United States. 2010. 〈hal-00521447〉
  • Alain Combescure, Marie-Christine Baietto, Anthony Gravouil, Julien Rethore, Jean-Yves Buffiere, et al.. When X-FEM ideas join the gap between experiments measures and numerical simulations: 3D fatigue crack propagation. IV European Conference on Computational Mechanics, May 2010, Paris, France. 2010. 〈hal-01952478〉
  • Alain Combescure, Julien Rethore, Anthony Gravouil, Marie-Christine Baietto, Jean-Yves Buffiere, et al.. Hybridization of numerical methods with experiments and measures : application to 3D fatigue crack growth. Semi-plenary lecture, ECCM 2010, IV European Conference on Computational Mechanics, May 2010, Paris, France. 〈hal-01952479〉
  • N Limodin, Jy Buffière, J Réthoré, F Hild, S Roux, et al.. Three‐dimensional study of fatigue crack propagation using synchrotron X‐ray microtomography. ICF12, Ottawa 2009, 2009, Unknown, Unknown Region. 2009. 〈hal-01668808〉
  • Marie-Christine Baietto, Jean-Yves Buffiere, Alain Combescure, Anthony Gravouil, François Hild, et al.. X-ray microtomography, X-3D-Digital Image Correlation and X-FEM multigrid, a general tool for 3D crack growth law identification. 8th. World Congress on Computational Mechanics (WCCM8), 5th. European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2008), Jun 2008, Venise, Italy. 2008. 〈hal-01951837〉
  • N. Limodin, E. Boller, L. Salvo, M. Suéry, M. Di Michiel. In-situ fast X-ray tomography investigation of microstructural changes occurring during partial remelting and solidification of Al-Cu alloys. 5th decennal international conference on Solidification Processing 23-25 july 2007, 2007, France. a paraitre, 2007. 〈hal-00203535〉
  • N. Limodin, E. Boller, L. Salvo, M. Suéry, M. Di Michiel. In-situ fast X-Ray tomography investigation of microstructural changes occurring during partial remelting and solidification of Al-Cu alloys. Solidification Processing, 23-25 Juillet 2007, 2007, United Kingdom. pp.316-320, 2007. 〈hal-00203531〉
  • L. Salvo, N. Limodin, M. Suéry, E. Boller, M. Dimichiel. In-situ fast X-Ray tomography investigation of microstructural changes occurring during solidification and partial remelting of Al-Cu alloy. ESR User meeting (conférence invitée), 2007, France. 〈hal-00196762〉
  • N. Limodin, L. Salvo, M. Suéry. Caractérisation 3D par microtomographie X in-situ des évolutions microstructurales se produisant à l'état semi-solide dans des alliages Al-Cu. JA 2007 SF2M, 2007, Saint Etienne, France. 〈hal-00196754〉

Poster1 document

  • Jerome Hosdez, Jean-Francois Witz, Nathalie Limodin, Denis Najjar, Eric Charkaluk. Determination of a fatigue crack growth law by using Digital Image Correlation. 34e journées de printemps de la SF2M, Microstructure - procédés - propriétés en fatigue, May 2015, Paris, France. 2015. 〈hal-01736342〉

Chapitre d'ouvrage2 documents

  • J Adrien, Jean-Yves Buffiere, F Hild, N Limodin, J Réthoré, et al.. Artifact Correction for DVC Measurements Using a Laboratory X‐Ray Source. Imaging Methods for Novel Materials and Challenging Applications, Volume 3, Springer, New York, NY, pp.217--220, 2013. 〈hal-01668877〉
  • F Hild, Jy Buffière, A Gravouil, N Limodin, J Réthoré, et al.. Analysis of Fractured Samples with Digital Volume Correlation. Application of Imaging Techniques to Mechanics of Materials and Structures, Volume 4, Springer, New York, NY, pp.327--330, 2013. 〈hal-01668796〉