The abrasion of granular materials is of practical and theoretical importance and has already a long scientific history. Much is known about the individual processes through the Bloore equation which describes the evolution of a geometrical shape. However this is a purely mathematical equation and physics is hidden in its parameters. Up to now there were only heuristic approaches for the selection of the parameters mainly by putting the test object in the bath of an average effect. However, the most common and also the most interesting case is when the particles abrade each other in a chaotic or shear flow. It is known that non-spherical particles order themselves in shear flows therefore we expect length dependent abrasion processes. The aim of this thesis is to study the shearing of non-spherical particles in molecular dynamics and identify the contact positions of the particles along with the contact stresses. This could help us establish the governing equations of collective abrasion processes.