The Applied mechanical and mathematical model of grinding of a solid particle by static crushing

Now crushers are one of the most common types crushing equipment using principle a mechanical method material destruction (for example, rollers, jaws, cone crushers, etc.). To provide effective parameters crusher, it is necessary to take into account correlation between physical and characteristics (sizes, shapes, strengths, fragility, uniformity, etc.) energy crusher (operation power) at design stage. The existing theories describing mentioned dependence relying on different classical hypotheses allow obtaining very approximate (inaccurate) result. Consequently, develop detailed theory capable an accurate description process destructions by working members crushers. Thus, authors have developed as original solution complex constructively nonlinear engineering technical problem static contact spherical model comminuted brittle substance with absolutely rigid convex-concave surfaces cylindrical rolls designed for coarse medium grinding. based assumptions mechanics elastically deformable continuous medium, fundamental analytical dependences Hertz-Shtaerman Kirpichev-Kick volumetric hypothesis. During quantitative assessment bearing capacity ball, we used well-known mathematical Weber stress state sphere loaded two equal forces applied poles, Kulon-Mor’s strength criterion, which describes wide class homogeneous materials. fragmentation has been brought formulas illustrated typical numerical example.