Modeling Elastic Constants of Keratin-Based Hair Fiber Composite Using Response Surface Method and Optimization Using Grey Taguchi Method

  • P. Divakara RaoEmail author
  • C. Udaya Kiran
  • K. Eshwara Prasad
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 949)


Tensile modulus is an important mechanical property of any material which is responsible for the stiffness of the material. In the present study, experimental testing is done to know Young’s modulus and Poisson’s ratio of human hair-fiber-reinforced polyester composite. Response surface methodology (RSM) technique is used to obtain empirical relations for Young’s modulus and Poisson’s ratio in terms of fiber weight fraction and fiber length. ANOVA is carried out to check the significance of the developed models. Results showed that predictions made by RSM models are in good concurrence with experimental results. Optimization of fiber weight fraction and length is carried out using RSM, and highest Young’s modulus value of 4.062 GPa was observed at 19.95% fiber volume fraction and 29.32 mm fiber length. Multi-response optimization is carried using grey Taguchi method. Optimized factor levels using grey Taguchi method are obtained as 20% and 30 mm for fiber weight fraction and fiber length respectively.


ANOVA Elastic constants Human hair fiber Response surface methodology Multiple regression Grey Taguchi 



My sincere gratitude to Dr. P. Ravinder Reddy, Professor and Principal, CBIT, Hyderabad, India, for providing laboratory support. Grateful acknowledgments are made to Stat-Ease for providing software support to carry out RSM.


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© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.J.B. Institute of Engineering and TechnologyHyderabadIndia
  2. 2.Bhaskar Engineering CollegeHyderabadIndia
  3. 3.Siddhartha Institute of Engineering and TechnologyHyderabadIndia

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