The Effect of Extreme Dynamic Loading on Plastic Deformation of Quadrangular Plates: Experimental Investigation, Regression Analysis, and Multi-Objective Optimization

In present study, the experimental investigation and regression analysis of the large plastic deformation of square and rectangular plates subjected to extreme dynamic loading with uniform and localized distribution were discussed. In the experimental section, 5 experiments were conducted on mild steel plates with different thicknesses. To perform the regression analysis and multi-objective optimization, Design-Expert software in conjunction with the response surface methodology were exerted. Subsequently, the effect of parameters such as the thickness of the plate, the impulse of applied load, the mechanical properties of the plate, the loading radius, and the ratio of width to length of the plate on the maximum deflection of quadrangular plates was simultaneously investigated. Two separate analyses based on statistical analysis and ANOVA were performed for each type of uniform and localized loading. The values obtained for the coefficient of determination (R2) of two types of uniform and localized loading showed that the models have a good prediction ability of the experimental results and it can be used to evaluate the plastic deformation of the quadrangular plates. Subsequently, the optimal conditions for each effective parameter including yield stress and width to length ratio were determined with respect to considering the minimum values for central deflection and plate thickness simultaneously. The multi-objective optimization results were compared to the experimental results of the present study.