000015988 001__ 15988
000015988 005__ 20161115135335.0
000015988 04107 $$aeng
000015988 046__ $$k2013-06-12
000015988 100__ $$aNelias, D.
000015988 24500 $$aContact Analysis in Presence of Unidirectional Cylindrical Fibers Within a Matrix and Comparison With the Homogenized Anisotropic Solution

000015988 24630 $$n34.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000015988 260__ $$bNational Technical University of Athens, 2013
000015988 506__ $$arestricted
000015988 520__ $$2eng$$aDepending on the size of the heterogeneities it could be interesting to explicitly account for the presence of inclusions, porosities or fibers in the contact problem [1,2]. Conversely when the size of this microstructure is very small in comparison to the contact area one may choose an homogenized method by assuming that the substrate behaves anisotropicaly [3,4]. The authors present here a comparison of the elastic problem solution when one of the bodies in contact contains unidirectional and cylindrical fibers, lying parallel to the surface, and with a diameter a few tenth of the contact radius. Figure 1a gives the pressure distribution of the frictionless contact problem of an homogeneous sphere pressed against a half-space, when the half-space contains 40% of unidirectional fibers of Young’s modulus then times higher than the matrix one. Since the cylindrical fibers are lying along the x-axis parallel to the surface, the contact problem could be also modeled as an anisotropic problem with a Young’s modulus depending on the orientation (E1≠ E2≠E3). The equivalent properties are obtained by the Mori-Tanaka homogenization method. A comparison of the subsequent contact patch obtained with both methods is given in Fig. 1b. One may conclude that the homogenized method provides only a very rough estimation of the real contact area and pressure distribution.

000015988 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015988 653__ $$a

000015988 7112_ $$aCOMPDYN 2013 - 4th International Thematic Conference$$cIsland of Kos (GR)$$d2013-06-12 / 2013-06-14$$gCOMPDYN2013
000015988 720__ $$aNelias, D.$$iLeroux, J.$$iBagault, C.$$iBaietto, M-C.
000015988 8560_ $$ffischerc@itam.cas.cz
000015988 8564_ $$s77773$$uhttps://invenio.itam.cas.cz/record/15988/files/2069.pdf$$yOriginal version of the author's contribution as presented on CD, section: SC-MS 15 COMPUTATIONAL CONTACT MECHANICS
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000015988 962__ $$r15525
000015988 980__ $$aPAPER