Novel Layerwise Shear Correction Factors for Zigzag Theories of Circular Sandwich Plates with Functionally Graded Layers

Abstract

The available shear correction factors have mainly been proposed for single-layer rectangular plates with zero shear tractions and isotropic homogenous materials. The present analytical shear factors are especially suitable for the first-order zigzag or layerwise theories of circular sandwich plates with functionally graded cores/face sheets and simultaneous normal and shear tractions. Although the present layerwise correction factors are general, they are evaluated for the modal analyses where effects of the shear correction are more remarkable than those of the stress analyses. It is the first time that the concept of the local shear correction factor is introduced. To present more accurate results, the MoriTanaka micromechanical-based material properties model is used instead of the traditional rule of mixtures. The governing equations are solved using the analytical Taylor transform method. Comparisons made among results associated with the known shear correction factors, present results, and results of the threedimensional theory of elasticity reveal that significant enhancements may occur through using the proposed analytical shear correction factors.

Influence analysis of phase transformation anisotropy of shape memory alloy wires embedded in sandwich plates with flexible cores by a third-order zigzag theory with dynamic three-dimensional elasticity corrections

“…The available correction procedures, among them, those presented by Shariyat [44–49] have corrected the transverse shear stresses without correcting the displacement, velocity, and acceleration fields of the plate. Moreover, the inertia effects have not been considered in the previous corrections.…”

“…In layerwise theories, it is focused on the local changes; so that, the global variations of the displacement components are not included explicitly in description of the displacement field. Furthermore, in the resulting layerwise system of equations, the computational time increases with number of layers; as number of the independent nodal degrees of freedom increases drastically with number of layers [21,44,60]; in contrast to the present novel zigzag and the global–local theories. In the present and global–local theories, number of the independent nodal displacement parameters is independent of number of layers.…”

A global–local theory with stress recovery and a new post-processing technique for stress analysis of asymmetric orthotropic sandwich plates with single/dual cores

“…Like the linear global (equivalent single-layer) theories, this issue may lead to inaccuracies in determination of the local strain energies and consequently, the resulting stresses [44][45][46][47]. Some researchers have proved the using shear correction factors for higher-order [48] and Di Sciuva zigzag theories [49] enhances the relevant results.…”