Thermal-stress analysis of plates with variable fiber spacing

Abstract

Plane-stress problems of a square composite plate with variable fiber spacing under a uniform thermal loading are investigated. The problem with two edges perpendicular to the fiber direction of the plate, being itself constrained from normal displacement, is first solved analytically. It is then analyzed by the energy method together with the Rayleigh-Ritz approximation, and the computed results are verified by the analytical solution showing very good agreement. Another problem, with two edges parallel to the fiber direction, the plate again being constrained from normal displacement, which is more complex and cannot be solved analytically, is tackled by the afore-mentioned numerical procedure. To investigate the effect of the variation of fiber spacing on the distributions of the displacement-component fields and the equivalent stress field, two types of variation in fiber spacing are assumed in solving the second problem.

Proper Generalized Decomposition for Parametric Study and Material Distribution Design of Multi-Directional Functionally Graded Plates Based on 3D Elasticity Solution

“…The weighting function w(p) determined the distribution of the fiber volume fraction across the plate in terms of the material parameter p ∈ [0, 1], which controlled the distribution. The distribution given in Equations ( 23) and ( 24) was a generalization of a simpler form that has been considered in other works such as [19,[25][26][27].…”

“…The problem was solved for the square plate, L x = L y , considering a different plate thickness, L z . To present the displacements, the following relation was used to make them dimensionless: ūz = 100E m q max L z S 4 u z (26) where S = L x /L z is the thickness ratio and q max is the maximum load intensity (see Equation ( 21)).…”