Transient analysis of size-dependent S-FGM micro-folded plates based on exact shear correction factor in the thermal environment

Abstract

The present work is an attempt to develop a simple and accurate finite element formulation for the transient analysis of size-dependent S functionally graded material (S-FGM) micro-folded plates based on first-order shear deformation theory and taking exact shear correction factor in conjunction with modified couple stress theory in the formulation. Two micromechanical models, viz. rule of mixture and local representative volume elements (LRVE), are used to estimate the temperature-dependent material property of the S-FGM micro-folded plate. The top layer of the S-FGM micro-folded plate is subjected to a thermal shock, whereas the bottom layer is maintained at ambient temperature. Parametric studies are performed to investigate the effect of the number of folds, crank angle, shear correction factor, temperature gradient, material length scale ratio and boundary conditions on transient analysis of S-FGM micro-folded plates subjected to thermal shock. It is observed from results that a maximum change of 6.4661% and 10.5623% in amplitude of the non-dimensional tip deflection of a double-folded Al₂O₃/Ti–6Al–4V S-FGM cantilever microplate is observed on employing exact value of shear correction factor of 0.8009 and on increasing the temperature gradient from 100 to 300 K, respectively, obtained using LRVE micromechanical model.