Abstract

SUAREZ, FABIO ALEXANDER  and  VELEZ, JUAN MANUEL. A MATRIX-TOOL FOR THE 2-D MODELLING OF SOME ELASTIC CONTACT PROBLEMS. Dyna rev.fac.nac.minas [online]. 2008, vol.75, n.156, pp.195-206. ISSN 0012-7353.

On the localized contacts, the search of the relationships among the load, the body geometries, their elastic properties and the contact zone geometry constitutes a field of knowledge with high technological impact. The knowledge of these relationships permits to have a better understanding of the tribological systems behavior for improving their design and their performance. This paper has as a goal to give for knowing a matrix-tool that is useful for the modeling of the 2-D problems of elastic contacts. Based on a generalization of Flamant´s problem, this matrix constitutes a link between the perpendicular displacements to the surface experienced by some points on this and the shape of the distribution of the load in the contact zone. This link permits to find one of these variables as a function of the other. The matrix is a very simple tool and has huge useful for the solution of complex problems of this kind. For showing its useful, the matrix was used to resolve the elastic contact problem between two long cylinders, a problem initially formulated and solved by Hertz; the found results are the same as those obtained by Hertz in his analytical solution.

Keywords : Tribology; Wear; Models; Hertz; Flamant; Contact Mechanics.

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