Theoretical assessment of mechanical behaviour of LDPE/Cu composites using nonlinear polynomial regression analysis

Based on theoretical, empirical and semi-empirical models, extensive literature covers various approaches to characterize the mechanical properties of polymer composites filled with different reinforcements. However, those published models show discrepancy with results obtained from experiments. The above situation has been modified by using a nonlinear polynomial regression technique in these models. This paper reports how cardinal polynomial regression models are used, which is very important for anybody who thinks about a clear curvilinear relationship among the variables. As an application, its inclusion includes the polynomial regression model that defines the relationship in terms of desired properties with drilling depth after firstly being elaborately manipulated to imitate mechanical properties between a continuous and dispersed phase. Evaluation of several statistical performance metrics-basically through measures such as SSE, MSE, RMSE, R 2 and adjusted R 2 -have been computed to judge the enhanced plane model. Model coefficients are determined using the least squares method. The modified models were then used to predict mechanical properties of Low Density Poly Ethylene (LDPE) filled with copper (Cu) powder. These results showed an excellent correlation with the experimental results published earlier, thus validating the modified models’ reliability and accuracy.