Mathematical simulation of pressing X-ray lenses from nanocrystalline beryllium

Abstract

A computer model is developed to describe the pressing of a beryllium lens using the Deform software package. This model takes into account the rheological properties of beryllium and the deforming tool. The state of stress of a workpiece is determined at various stages of pressing, and the probability of fracture of nanocrystalline beryllium is estimated using the normalized Cockcroft–Latham criterion. The temperature dependence of the limiting values of the fracture criterion is found and used to choose the pressing conditions that exclude fracture of lenses.