Vol. 3, No. 1, 2008

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ISSN: 1559-3959
Dynamic analysis of banana fiber reinforced high-density polyethylene/poly($\epsilon$-caprolactone) composites

Raghvendra Kumar Misra, Sandeep Kumar, Kumar Sandeep and Ashok Misra

Vol. 3 (2008), No. 1, 107–125
Abstract

Banana fiber reinforced HDPE/PCL (high-density polyethylene/poly(ϵ-caprolactone)) composites have been prepared in the laboratory for the evaluation of mechanical properties. The tensile strength and Young’s modulus of the HDPE/PCL blend attains saturation at approximately 20% by weight of PCL addition. Therefore, the 80:20 blend of HDPE/PCL has been selected as the matrix material. It has also been observed that the ductility of the HDPE/PCL blend drops rapidly by addition of more than 15% by weight of PCL. Reinforcement of the banana fiber in an 80:20 HDPE/PCL blend matrix shows improvement in ductility, tensile strength and Young’s modulus. In order to study the dynamic response of this banana fiber reinforced HDPE/PCL composite plate, a multiquadric radial basis function (MQRBF) is developed. MQRBF is applied for spatial discretization and a Newmark implicit scheme is used for temporal discretization. The discretization of the differential equations generates a greater number of algebraic equations than the unknown coefficients. To overcome this ill-conditioning, the multiple linear regression analysis, based on the least square error norm, is employed to obtain the coefficients. Simple supported and clamped boundary conditions are considered. Numerical results are compared with those obtained by other analytical methods.

Keywords
banana fiber, multiquadric radial basis function, eigenvalue
Milestones
Received: 30 October 2006
Accepted: 8 May 2007
Published: 11 March 2008
Authors
Raghvendra Kumar Misra
Department of Mechanical Engineering
Birla Institute of Technology, Mesra
Ranchi 835215 Jharkhand
India
Sandeep Kumar
Department of Polymer Engineering
Birla Institute of Technology, Mesra
Ranchi 835215 Jharkhand
India
Kumar Sandeep
Department of Mechanical Engineering
Institute of Technology
Banaras Hindu University
Varanasi 221005
India
Ashok Misra
Department of Mechanical Engineering
Birla Institute of Technology, Mesra
Ranchi 835215 Jharkhand
India