A functionally graded porous beam is engineered to have various material properties
and porous characteristics in a controlled and deliberate manner. The tailored
material properties can help optimize structural performance, improve energy
absorption, and enhance the overall efficiency and safety of engineered systems.
Adapting the higher-order shear deformation theory, this paper investigates
the buckling behavior of two-directional functionally graded porous beams
(FGPB). The development of a mathematical model that incorporates material
properties with a power law distribution and polynomial functions for axial and
transverse deflections. The critical buckling analysis is undertaken using the
Kuhn–Tucker analytical solution approach with the R-program. On the behavior
of buckling, the influences of aspect ratio, gradient index, porosity index,
and even/uneven porosity distributions are investigated. Comparisons with
established numerical methods are used to validate the accuracy of the suggested
analytical methodology. The effect of various parameters on the critical buckling
response is investigated by means of a parametric investigation. The results
contribute to the comprehension of the buckling behavior of FGPB and shed light
on the optimization of their design. The proposed methodology provides a
valuable instrument for analyzing these structures under various boundary
conditions.
Keywords
functionally graded porous beam, Kuhn–Tucker condition,
R-program, buckling, higher order shear deformation theory
