Vol. 14, No. 1, 2019

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A modified shear-lag model for prediction of stress distribution in unidirectional fibrous composites considering interphase

Mohammad Hassan Zare and Mehdi Mondali

Vol. 14 (2019), No. 1, 97–117
Abstract

A modified shear-lag model is developed for unidirectional fibrous composites by considering the interphase region subjected to axial loading. A perfect bond at the fiber/interphase and interphase/matrix interfaces is assumed. The fiber, interphase, and matrix materials behave elastically during the analysis. The axial and shear stresses in fiber, interphase and matrix are analytically obtained as functions of the radial and axial directions using a micromechanical approach in a full-continuum model. The composite axial displacement and composite elastic modulus also are obtained. In order to consider the effect of inhomogeneity of the interphase in the three-phase micromechanics model, the elastic modulus of the interphase is assumed to vary with the radial coordinate. Two case studies, a carbon nanotube-reinforced polymer composite and an aramid fiber-reinforced rubber composite are used to validate the results of the model. The results predicted by the proposed analytical approach exhibited good agreement with the finite element results and available experimental measurements.

Keywords
modified shear-lag model, unidirectional fibrous composites, interphase region, FEM
Milestones
Received: 26 September 2018
Revised: 9 March 2019
Accepted: 14 March 2019
Published: 7 April 2019
Authors
Mohammad Hassan Zare
Department of Mechanical Engineering, Science and Research Branch
Islamic Azad University
Tehran
Iran
Mehdi Mondali
Department of Mechanical Engineering, Science and Research Branch
Islamic Azad University
Tehran
Iran