Analytical solutions to a problem are a combination of natural laws, mathematical rules and approximations. The only way to
determine whether analytical solutions correspond to reality is experimental verification. In this paper, approximate analytical
solutions of the purely plastic bending force with and without strain hardening of the material are analyzed. The experiment was performed under production conditions according to the rules of the experimental plan, where the input parameters are the thickness and width of the sheet, and the output is the bending force. It was found that the experimental results are close to the analytical solution without strain hardening of the material, i.e. that the hardening of the material is negligible. Based on the experimental plan, an adequate nonlinear mathematical model was obtained, suitable for optimization. The obtained optimal solutions provide the input parameters for the minimum and maximum bending force. It was found that the maximum and minimum bending force are obtained for approximately the same thickness, but for different sheet widths.
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The statements, opinions and data contained in the journal are solely those of the individual authors and contributors and not of the publisher and the editor(s). We stay neutral with regard to jurisdictional claims in published maps and institutional affiliations.