Description: The analysis of the state of the test method for abrasive wear according to the Brinell-Howarth scheme has been carried out. Described is one of the most common methods of testing for wear and the basic structural elements of an installation, which may differ in size, surface geometry and materials. The quantitative, rather than qualitative, nature of the results of the method is noted, which does not allow transferring the results of tests to conditions other than standardized ones. Based on the analysis, the tasks were formulated to eliminate the main lack of research: the lack of models of the processes under study and methods for determining the parameters of these models. The elimination of these shortcomings allowed us to extend the results of research to natural conditions other than model ones. The problem of developing a theory of a model of metal wear with a loose abrasive is set and solved. The wear models and the determined parameters of these models are obtained for a rigorous quantitative com-parison of the abrasive wear resistance of metals taking into account various factors. In accordance with the method of the the-ory of similarity and dimensions, a list of all defined and determining quantities with their dimensions is compiled. Further, from these values, dimensionless complexes are arranged: wear rate; wear per friction path unit; dimensionless pressure; dimen-sionless speed; homologous temperature in contact. From the experiments, a relationship is established between the dimen-sionless complexes that play the role of a similarity criterion. The dependences between the dimensionless criteria are chosen as the main formula. The general formulation of the problem was carried out with consideration of the contact interaction of a rigid rotating cylinder of radius R, covered with a non-wearing rubber layer and a rigidly worn flat surface. Between the cylinder and the plane there is a thin layer of abrasive (sand), so the abrasive does not have a significant effect on the pressure distribution. A direct contact problem on the interaction of a rubber roller and a steel sample separated by a layer of sand was posed and solved. An inverse contact problem for the indicated interaction was posed and solved. As a result, we obtained the calculated dependences for determining the parameters of wear models according to the results of laboratory tests. Thus, a theoretical basis was created for laboratory testing of abrasive wear resistance of metals.
Keywords: wear resistance, loose abrasive, similarity and dimension theory, dimensionless complexes.
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