The Construction of the Deformation Diagrams of Metals and Alloys at ImpactCompression of Tablet Specimens with Friction Forces Consideration
The inﬂuence of friction forces on the dynamic deformation of elastoviscoplastic tablet specimens wasnumerically and experimentally investigated. The ma in depend encie s of their shape changing for metals an dalloys have been established. A criterion of the shape changing of tablet specimens is proposed. A new methodfor identifying of the coefﬁcients of dry friction at contact surfaces, depending on shape changing of the tabletspecimens, based on numerical modeling of an axisymmetric dynamic problem and a rapidly convergentmethod of successive approximations was developed. The division of the two-parameter identiﬁcation probleminto two problems of one-parameter parameterization is theoretically justiﬁed with a high degree of reliability:the problem of determining of the friction coefﬁcient and the problem of construction of the true diagram ofdynamic deformation in this experiment with the friction coefﬁcient found earlier. As a result, the dynamicdeformation diagrams w ith frictional forces and radial i nertia consideration are constructed using t he iterativemethod. In known approximation methods of construction of the deformation diagrams with frictional forcesand radial inertia consideration, fri ction coefﬁcients are assumed to be known, w hereas methods for theirdetermination in experiments with impact compression are practically unavailable