Effect of orientation angles and boundary conditions on the pure bending coefficient of thin laminated composite plate using Euler Bernoulli equilibrium equation

Abstract

This work presents the effect of orientation angles and boundary conditions on the pure bending coefficient of thin rectangular laminated composite plates using Euler-Bernoulli equilibrium equation. The total potential energy function was applied assuming that the thin rectangular laminated composite plate was subjected to only pure bending effect, through this means, the Euler-Bernoulli governing equation of equilibrium was obtained. The governing Equation obtained was minimized to obtain Equation for obtaining the pure bending coefficient of thin rectangular laminated composite plate. Different orientation angles of laminas and boundary conditions were considered to know their effect on pure bending coefficient. Some of the plate boundary condition considered were SSSS, CCCC SSCC and SCSC. The orientation angles considered were 0⁰0⁰, 0⁰90⁰, 0⁰0⁰0⁰, 0⁰90⁰0⁰, 0⁰0⁰0⁰0⁰, and 0⁰90⁰90⁰0⁰. The aspect ratio considered ranges from 1-2 for elastic modular ratio E1/E2 = 25; G12/E2 = 0.5; V12 = 0.25. For any laminated composite plate considered, the orthotropic plate has the same pure bending coefficients but the value increases with increase in the aspect ratio. When other orientations were considered, the change in orientation angles produces change in the pure bending coefficient which increases with increase in aspect ratio. The maximum pure bending coefficient was obtained when SSSS thin rectangular laminated composite Plate was considered for two laminas with orientation 0⁰90⁰ as 0.0174 while the minimum pure bending coefficient was obtained when CCCC thin laminate composite plate was considered for orthotropic plate as 0.00153.