Porosity-dependent isogeometric analysis of bi-directional functionally graded plates: Fid-Bau Portal

Porosity-dependent isogeometric analysis of bi-directional functionally graded plates

Li, Shuangpeng / Zheng, Shijie / Chen, Dejin

Abstract Based on the first-order shear deformation theory (FSDT) as well as isogeometric analysis (IGA), the static bending, free vibration and buckling analysis of porous bi-directional functionally graded (BDFG) plates are investigated in this paper. The bi-directional gradients vary along the thickness (z-) and x-axis directions according to the power law, and porosity distributions are divided into even and uneven types. With the help of Hamilton principle, the governing equations of porous BDFG plates are derived. Compared with other reported literatures, several examples reveal that the accuracy and convergence of the present IGA model utilizing cubic non-uniform rational B-splines (NURBS). The effects of aspect ratios, boundary conditions, porosity distributions and coefficients on static bending, free vibration and buckling analysis of porous BDFG plates are studied in detail. These results show that increasing the volume fraction of porosity makes considerable effects on the mechanical behaviors of porous BDFG plates. Moreover, the deflections, frequencies and buckling loads of BDFG plates with even porosity are quite sensitive to the variation of porosity coefficients.

Highlights • Analyzing static bending, free vibration and buckling of porous bi-directional FG plate. • Employing isogeometric analysis for 2D-FG plates with different porosity distributions. • Studying the effects of aspect ratios, boundary conditions, porosity coefficients and distributions. • The bi-directional gradients vary along the thickness and axial directions.