Int J Performability Eng ›› 2021, Vol. 17 ›› Issue (3): 253-262.

• Original article •

### Material Modeling of Epoxy Granite Composite by Analytical Model and Regression Analysis

S. Nallusamy1,*()

1. Department of Mechanical Engineering, Educational and Research Institute, Chennai, 600095, India
• Contact: Nallusamy S. E-mail:ksnallu@gmail.com
• About author:Dr. S. Nallusamy received his B.E. (Mech.) from Madras University and his M.E (Ind. Engg.) from Anna University, Chennai. He is received his Ph.D. from Jadavpur University, Kolkata in 2009. He has 27 years of teaching, research, and administrative experience and has guided 11 Ph.D. and 36 PG scholars. He has published more than 180 research articles in reputed international journals and has written six text books with ISBN. Currently, he is working as a professor and dean in the Department of Mechanical Engineering at Dr. M.G.R. Educational and Research Institute, Chennai. His areas of interest are lean manufacturing, optimization, composite materials, nano materials, and material science.

Abstract:

This research work mainly focuses on the material modeling of epoxy granite composite with the help of experimental methods. Generalized mixture rule (GMR) for particulate composite was proposed by screening to estimate a specific mechanical property of epoxy granite with regards to their properties, volume fractions, and microstructures (PVFM) of component. In GMR relation, the effects of microstructures were expressed by means of a scaling fractal parameter j. Taguchi’s design of experiments was applied to plan the number of experiments. The investigations were carried out based on flexural and damping test of epoxy granite specimens with dimension 125x12x6mm and young’s modulus with specimens of dimension 50x50x50mm. Analytical values of specific mechanical property and varying volume fraction were presented for j values 0.25 to 0.1. The experimental results obtained from different tests were plotted over the analytical graph, which further helped to fix the value of j for each effective property. From the results, a unique j value of 0.3 was finalized for epoxy granite with the j fixed for each effective mechanical property. Regression analysis was applied to establish the empirical relation between effective and material properties for experimental results. Comparison between the analytical model from GMR and regression model from experimental results was carried out to validate the mathematical model.