Meshfree approach for flexure analysis of bidirectional porous FG plate subjected to I, L, and T types of transverse loading

Abstract

Various type of transverse loadings is generally used in practical applications, mainly in public transportation from buses, aeroplane, and railways to the places where ques are maintained in a desired way. These loads are applied on different types of structures which are made-up of composites/laminates and functionally graded materials. In present work, the flexure analysis of bi-directionally porous functionally graded material (BDPFG) rectangular plates subjected to L, I, and T types of transverse loading has been carried out for first time. Governing differential equations have been obtained using energy principle with five variable higher-order shear deformation theory (HSDT). The material properties of BDPFG rectangular plates are to be graded in the thickness and length directions according to modified power-law distribution with five porosity distributions. A code has been computed in MATLAB (2019) for obtaining the numerical results using meshfree approach based on radial basis collocation method (RBCM). The influence of the grading index, span to thickness ratio, aspect ratio, transverse loading type, porosity fraction, and porosity distribution on the normalized deflection and stresses of BDPFG rectangular plates is examined. New numerical results can provide benchmarks for future analyses of BDPFG plates and will be helpful in designing the structures.