Abstract
A calculating apparatus has been developed to help evaluate the stress-strain state in the plastic forming processes accompanied by a complex loading in which the Bauschinger effect can be manifested. The developed methods are based on the phenomenological approach in which a material map is devised in the form of flow curves, Bauschinger curves, a function j characterizing the hereditary influence of the loading history, plasticity diagrams, and limiting strain surfaces. To evaluate the plasticity resource used, taking into account the non-monotonicity of loading, the relations for determining the main components of the guiding strain-rate tensor were obtained, which made it possible to simplify the calculation of the components of the damage tensor. With the help of the developed calculating apparatus, the applied plasticity resource was evaluated in the process of radial extrusion with the contour sag, which allowed setting the limiting parameters of the shaping. Also, as a result of the research, an increase in the plasticity of the metal was established by selecting rational loading paths in the space of the dimensionless coordinates h, m s , and e u . For example, in the process of radial extrusion with the contour sag due to a change in the nature of the deformation, it was possible to obtain a flange diameter of 44 mm, with the initial diameter of the cylindrical workpiece being 20 mm. The results obtained are important because in most cases the processes of metal pressure treatment are accompanied by non-monotonic deformation
Highlights
Modern advances in technology require improving available and developing and implementing new methods and procedures that make it possible to preserve material, labor, energy and environmental resources
Resource-saving is ensured by introducing a wide range of methods of cold volumetric stamping, which help increase the mechanical properties of the deformed metal and obtain products with great precision and the necessary technological properties
The aim of the conducted tests is to develop a calculating apparatus for determining the stress-strain state in the processes of cold volumetric stamping under complex loading
Summary
Modern advances in technology require improving available and developing and implementing new methods and procedures that make it possible to preserve material, labor, energy and environmental resources. To meet the more stringent requirements for the accuracy of determining the stress-strain state, it is necessary to have information about the history of the process of plastic deformation at each point of the metal. This will allow predicting the mechanical properties of and the level of damage to the deformed metal. The development of more advanced methods for calculating the stress-strain state and estimating the deformability of workpieces for cold volume stamping under conditions of non-monotonic loading is an essential scientific and technical task
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