On accurately capturing the through-thickness variation of transverse shear and normal stresses for composite beams using FSDT coupled with GPR

Garg, A., Mukhopadhyay, T., Belarbi, M.O., Chalak, H.D., Singh, A. and Zenkour, A.M. (2022) On accurately capturing the through-thickness variation of transverse shear and normal stresses for composite beams using FSDT coupled with GPR. Composite Structures, 305, [116551]. (doi:10.1016/j.compstruct.2022.116551).

Abstract

Available shear deformation theories (SDTs) in the literature have their own merits and demerits. Among SDTs, first-order shear deformation theory (FSDT) and higher-order shear deformation theories (HSDT) are most widely used for the analysis of laminated composite and sandwich (LCS) beams. However, these theories are not able to predict the continuation of transverse shear stresses at interfaces across the thickness of the LCS beams. Due to the assumption of the constant variation of the transverse displacement field across the thickness of the layer, the FSDT is not able to predict the values for the transverse normal stresses. The present work aims to transform the stress variations across the thickness of LCS beams obtained from FSDT to the 3D Elasticity solutions using Gaussian Process Regression (GPR) based surrogate model. Further, the surrogate model is exploited to predict the variation of transverse normal stresses σ _zz across the thickness. Without large computational efforts, the proposed methodology will be able to capture the through-thickness stress variations equivalent to 3D Elasticity solutions, leading to an accurate yet efficient prediction.

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