INVESTIGATION OF PURE BENDING OF THE BAND AT LARGE DEFORMATIONS BASED ON ENERGY CRITERIA OF PLASTICITY
DOI:
https://doi.org/10.20535/2305-9001.2014.70.35313Keywords:
plastic bending, narrow band, the energy condition of plasticity, neutral surface stress, neutral radius, neutral corner, displacement factorAbstract
Subject, theme, aim. The subject of the research is strength of the band to pure bending for a large curvature. The aim is to establish patterns of stress distribution in the cross section of a flexible band using the plasticity condition Huber-Mises and distribution methods of the theory of plastic plane stress to the case of pure bending of the band.
Method or methodology. It was based on the earlier decision of the problem of elastic-plastic state of the ring under external or internal pressure. During the study, the authors introduced a new parameter that defines the limits of the variable through which the stress components are expressed. This option is called a neutral corner and, depending on the ratio of the inner and outer radii of curvature of the band varies from 65 ˚ to 180 ˚.
Results. We developed the technique of the theoretical solution of the problem, based on the introduction of the parameter defining the state of stress. Also we got the formulas for determining the position of the neutral surface stresses and dependence of the bending moment per unit bandwidth, the entered variable
Field of application of the results. Results of the solution of this problem can be used by the scientific and technical personnel engaged in the field of metal forming.References
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