Isogeometric analysis of in-plane functionally graded porous microplates using modified couple stress theory

摘要

This paper examines bending, buckling and free vibration behaviors of in-plane functionally graded (FG) porous microplates by means of isogeometric analysis (IGA) and modified couple stress theory (MCST). A hyperbolic shear deformation theory is used, which does not need a shear correction factor. To take into account size-dependent effect, the MCST is employed to analyze functionally graded porous microplates. The IGA meets continuous requirement by using B-Spline or Non-Uniform Rational B-Spline (NURBS) functions. Various types of material distributions are assumed not only through plate thickness, but also in-plane material distributions. The effect of porosity on results is studied, while this parameter has not been paid attention yet for the analysis of in-plane and through-thickness functionally graded (FG) microplates. Furthermore, the effect of other parameters on the behaviors of microplates is investigated by several numerical problems. These parameters include boundary conditions, FG power index and material length scale parameter l. (C) 2019 Elsevier Masson SAS. All rights reserved.