[Solution approchée du problème de l'indentation cônique et diédrique de matériaux élastoplastiques]
Le modèle développé dans cette Note permet de déterminer la valeur de la pression moyenne d'indentation (habituellement dénomée dureté) à partir des propriétés élastoplastiques des matériaux. L'approximation développée repose sur la définition d'un solide élastique linéaire dont la pression moyenne d'indentation est la même que celle du matériau réellement indenté. Une méthode d'identification de la courbe contrainte-déformation uniaxiale à partir d'essais d'indentation est proposée. Les résultats sont ensuite validés à l'aide de calculs par éléments finis.
The model developed in this Note makes it possible to determine the value of the mean indentation pressure usually named hardness from the elastoplastic properties of materials and also the shape of the cone or that of the wedge. The approximation rests upon the definition of a linear elastic solid which has the same indentation pressure as the material actually indented. Cases of cone and wedge indentation are studied. A method to determine the uniaxial stress–strain curve of materials from indentation tests is given. The results are validated using finite element simulations.
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Mot clés : Solides et structures, Indentation cônique, Elastoplasticité, Contrainte représentative, Méthode d'identification
Guillaume Kermouche 1 ; Jean-Luc Loubet 2 ; Jean-Michel Bergheau 1
@article{CRMECA_2005__333_5_389_0, author = {Guillaume Kermouche and Jean-Luc Loubet and Jean-Michel Bergheau}, title = {An approximate solution to the problem of cone or wedge indentation of elastoplastic solids}, journal = {Comptes Rendus. M\'ecanique}, pages = {389--395}, publisher = {Elsevier}, volume = {333}, number = {5}, year = {2005}, doi = {10.1016/j.crme.2005.04.001}, language = {en}, }
TY - JOUR AU - Guillaume Kermouche AU - Jean-Luc Loubet AU - Jean-Michel Bergheau TI - An approximate solution to the problem of cone or wedge indentation of elastoplastic solids JO - Comptes Rendus. Mécanique PY - 2005 SP - 389 EP - 395 VL - 333 IS - 5 PB - Elsevier DO - 10.1016/j.crme.2005.04.001 LA - en ID - CRMECA_2005__333_5_389_0 ER -
%0 Journal Article %A Guillaume Kermouche %A Jean-Luc Loubet %A Jean-Michel Bergheau %T An approximate solution to the problem of cone or wedge indentation of elastoplastic solids %J Comptes Rendus. Mécanique %D 2005 %P 389-395 %V 333 %N 5 %I Elsevier %R 10.1016/j.crme.2005.04.001 %G en %F CRMECA_2005__333_5_389_0
Guillaume Kermouche; Jean-Luc Loubet; Jean-Michel Bergheau. An approximate solution to the problem of cone or wedge indentation of elastoplastic solids. Comptes Rendus. Mécanique, Volume 333 (2005) no. 5, pp. 389-395. doi : 10.1016/j.crme.2005.04.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2005.04.001/
[1] The hardness of solids, J. Appl. Phys. (1971), pp. 145-179
[2] Vickers indentation curves of elastoplastic materials, Microindentation Techniques in Mater. Sci. Engrg. (1986), pp. 72-89
[3] A theoretical study of the brinell hardness test, Proc. R. Soc. London Ser. A, Volume 423 (1989), pp. 301-330
[4] Scaling, dimensional analysis, and indentation measurements, Mat. Sci. Engrg., Volume 44 (2004), pp. 91-149
[5] An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments, J. Mat. Res., Volume 7 (1992), pp. 1564-1583
[6] Improvements in the indentation method with a surface force apparatus, Philos. Mag. A., Volume 74 (1996), pp. 1061-1072
[7] Similarity analysis of creep indentation tests, Proc. R. Soc. London Ser. A, Volume 436 (1992), pp. 617-630
[8] Similarity analysis of inelastic contact, Int. J. Solids Structures, Volume 34 (1997), pp. 3061-3083
[9] Investigation of sharp contact at rigid-plastic conditions, Int. J. Mat. Sci., Volume 43 (2001), pp. 895-920
[10] The correlation of indentation experiments, J. Mech. Phys. Solids, Volume 18 (1970), pp. 115-126
[11] Determination of elasto-plastic properties by instrumented sharp indentation: guidelines for property extraction, Scripta Mat., Volume 42 (2000), pp. 833-839
[12] Computational modeling of the forward and reverse problems in instrumented sharp indentation, Acta Mat., Volume 49 (2001), pp. 3899-3918
[13] Depth-sensing instrumented indentation with dual sharp indenters, Acta Mat., Volume 51 (2002), pp. 3713-3729
[14] Determination of plastic properties of metals by instrumented indentation using different sharp indenters, Acta Mat., Volume 447 (2003), pp. 1663-1678
[15] Depth-sensing instrumented indentation with dual sharp indenters: stability analysis and corresponding regularization schemes, Acta Mat., Volume 52 (2004), pp. 1143-1153
[16] The Mathematical Theory of Plasticity, Oxford University Press, Oxford, 1950
[17] Indentation of a rigid/plastic material by a conical indenter, J. Mech. Phys. Solids, Volume 11 (1963), pp. 161-175
[18] Boussinesq's problem for a rigid cone, Quart. J. Math., Volume 282 (1939), pp. 161-175
[19] K.-L. Johnson, Contact Mechanics, Cambridge University Press
[20] Nanoindentation with a surface force apparatus, Mechanical properties and deformation of materials having a ultra-fine microstructures (1993), pp. 429-447
[21] Systus/Sysweld, User's manual, ESI Group, 2004
[22] A study of the mechanics of microindentation using finite elements, J. Mat. Res., Volume 7 (1992), pp. 618-626
[23] Experimental and numerical study of the ploughing part of abrasive wear, Wear, Volume 255 (2003), pp. 30-37
[24] G. Poulachon, Aspect phénoménologiques, mécaniques et métallurgiques en tournage c-BN des aciers durcis. Application à l'usinabilité de l'acier 100Cr6M, PhD Thesis, ENSAM, 1999
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