Analysis of Stress Distribution in a Curved Functionally Graded Porous Beam Using the Unified Shear Deformation Theory

Abstract

Using unified shear deformation theory (USDT) and a modified power law, the current study examines bending properties of two-dimensional functionally graded curved porous beam. In order to improve accuracy, this method incorporates equilibrium equations, potential energy, and the idea of a neutral surface. The analysis uses a boundary conditions, namely simply supported . A functionally graded beam composed of metal and ceramic with both even and unequal porosity is modeled. The formulation takes into account the symmetrical material gradation, which guarantees alignment between the geometrical and physical neutral surfaces. A displacement-based formulation and energy concepts are used, which leads to a more thorough and accurate beam analysis. This approach effectively regulates the constant changing of material characteristics in FGMs, takes into consideration higher-order shear deformation effects, and does away with the requirement for shear correction factors. As a result, it improves structural behavior predictions, which makes USDT very useful for advanced material applications. The equilibrium equations for the beams are derived using the Hamilton technique and solved with the Kuhn-Tucker conditions.