Highly nonlinear mathematical regression for polypropylene material strength prognostication

Abstract

Concrete features high fragility, moderate bending strength, and endurance. Strain energy in the form of mechanical properties of polypropylene such as compressive strength, flexural strength, and split tensile strength are correlated via mathematical algebraic functions. Polynomial function, Exponential function , Fourier function , Gaussian function, the sumofthesinefunction, and Power function are used for correlation. Furthermore, fifteen customs equations are considered in this work. The application of polypropylene fibers to concrete could strengthen such unsatisfactory output. The polypropylene fiber reinforced cement concrete matrix has expanded dramatically due to its operational superiority. The paper examines concrete statistical properties by incorporating polypropylene fibers as reinforcing material. Seven fiberconcrete combinations with a limit of 0%, 0.2%, 0.35%, 0.5%, 0.75%, 1%, and 1.5% polypropylene fiber were prepared on a volume basis. Single w/c ratio provided 0.4 for all concrete compositions. The results indicated a considerable change in the mechanical characteristics of the concrete. The experimental results found the mechanical properties of the concrete increase up to 0.5 % of the polypropylene content in the concrete. Compressive strength, split tensile strength, and flexural strength of the polypropylene concrete are increased by 17 %, 15.58%, and 7.53%, respectively, compared to conventional concrete. Regression coefficients were calculated for the best match in various linear and nonlinear functions. The numerical comparisons of mechanical strengths in linear and nonlinear regression determination coefficients revealed a significant relationship between strengths. Since the formal association between compressive and flexural strength of concrete, the compressive strength is about 8–11 times the flexural strength. The equation predicted values were within the required range, a technical possibility with a constant geometry of the polypropylene fiber presented for the strength of fiber-reinforced concrete. The suggested model and the experimental findings are in moderate correlation.