Vol. 2, Issue 4 (2016)
Mathematical modelling of mechanical properties Polypropylene / Talc composites: Power equation approach
Author(s): Okoye Obuora Anozie, Ntunde Dilibe Ifeanyi
Abstract: The need to comprehend the behavior of engineering materials (Polypropylene/Talc Composites) in order to make detailed selection and use for any kind of product applications necessitated this study. Engineering materials failure can lead to loss of lives, huge loss of capital and wasted effort. In this work, experiments earlier conducted on Polypropylene/Talc composite to determine its mechanical properties (tensile strength, flexural strength and impact strength) were used to mathematically model these mechanical properties of the Polypropylene/Talc composite to produce a Composite Strength (in terms of work-done (energy) on the composite and in terms of applied stress on the composite) using the power equation approach. The essence of the model is to produce a linear equation that will inculcate these mechanical properties (tensile strength, flexural strength and impact strength), which are nonlinear, into one mathematical expression with an acceptable R-squared value. Experimental data was modified to have dimensional homogeneity and characterized by multivariate power equations. These mechanical properties were linearized by applying multiple regression analysis to obtain the respective responses of these mechanical properties on the Composite Strength. Scatter diagrams were made using Microsoft Excel to affirm the linearized state of the mechanical properties. The mathematical expression presented indicates how each mechanical property of the composite can inhibit or aid the fracture of the sample composite.