Investigation on static stability of bidirectional FG porous beams exposed to variable axial load

This work uses a quasi-3D solution to develop a computational theoretical model to examine the buckling response of bidirectional functionally graded (BDFG) porous beams exposed to variable axial load. Based on the notion of natural surface position, the displacement field includes indeterminate integral forms and implies a few unknowns to determine. The beams are made of two different materials. Their properties are porosity-dependent and are continuously distributed over the entire length and thickness of the beams according to defined law. Navier's approach is employed to evaluate the buckling characteristics of BDFG porous beams. The current formulation's results are compared to those of previously published ones. Parametric research is conducted to illustrate the effect of different variables, such as porosity, grading indices, and in-plane load type, on the buckling of BDFG porous beams. The results reveal that these parameters have a great influence on the buckling response of BDFG porous beams. These results can serve as reference solutions for future investigations.