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# Friction tensor concept for textured surfaces

Simha, KRY and Pottirayil, Anirudhan and Menezes, Pradeep L and Kailas, Satish V (2008) Friction tensor concept for textured surfaces. In: Sadhana, 33 (3). pp. 203-206.

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## Abstract

Directionality of grinding marks influences the coefficient of friction during sliding. Depending on the sliding direction the coefficient of friction varies between maximum and minimum for textured surfaces. For random surfaces without any texture the friction coefficient becomes independent of the sliding direction. This paper proposes the concept of a friction tensor analogous to the heat conduction tensor in anisotropic media. This implies that there exists two principal friction coefficients $\mu_{1,2}$ analogous to the principal conductivities $k_{1,2}$. For symmetrically textured surfaces the principal directions are orthogonal with at least one plane of symmetry. However, in the case of polished single crystalline solids in relative sliding motion, crystallographic texture controls the friction tensor.

Item Type: Journal Article Copyright of this article belongs to Indian Academy of Sciences. Friction tensor;surface texture;backward and forward sliding;friction Mohr circle. Division of Mechanical Sciences > Materials Engineering (formerly Metallurgy)Division of Mechanical Sciences > Mechanical Engineering 15 Oct 2008 10:41 19 Sep 2010 04:50 http://eprints.iisc.ernet.in/id/eprint/16088

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