Vol 8, No 3 (2017) > Metalurgy and Material Engineering >

A Nonlinear Analytical Model for Symmetric Laminated Beams in Three-point Bending

Youssef Benbouras, Aziz Maziri, Elhassan Mallil, Jamal Echaabi


Abstract: The use of composite
materials with continuous fibers in the aircraft and aerospace industries
requires a thorough knowledge of behaviors of these laminate composites under
various loading conditions. Indeed, the aim of this work is to simulate linear and nonlinear
behavior of a symmetric laminated composite under three-point bending tests. The
modelization used is based on an analytical approximation that has been
recently developed for isotropic materials. This approximation is still valid
for the studied quasi-isotropic laminated composite because it is symmetric
with a specific layer sequence. The overall response of laminate composite is
determined from the behavior of each ply outside of their orthotropic axis. Two
methods are used to calculate the equivalent longitudinal Young-modulus of the
laminate. The result shows that when the deflection of the specimens is less
than 2.5 times the thickness, the difference between the experimental and
analytical curves is about 1% for the average global stresses method, and about
7.5% for the apparent bending modulus method. For large deflections, the
difference relative to the first method remains less than 11% and the second
method is about 20%.
Keywords: Analytical model; Graphite-epoxy composite; Large deflection; Linear and nonlinear behavior; Three-point bending test

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