Abstract
The definition of a Coulomb friction tensor is presented. We formulate a hypothesis about the friction force distribution on contacting surfaces with isotropic and anisotropic roughnesses. The form of the friction tensor representation is given. The properties of the friction tensor are determined. A rule is given for the composition of the friction tensors for the contact of surfaces which have asperities with different anisotropic structures. The vectors of the friction force and friction moment during rotation are defined as quantities which depend on the frictional characteristics of the contact surface and the rotation velocity versor. The vectors of the friction forces during rotation were calculated for selected cases. Two examples are given for describing the friction force in the contact of planes and axisymmetric surfaces with homogeneous roughnesses.
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