Large deformation behavior of functionally graded porous curved beams in thermal environment

Abstract The in-plane thermoelastic response of curved beams made porous materials with different types functionally graded (FG) porosity is studied in this research contribution. Nonlinear governing equations are derived based on the first-order shear deformation theory along nonlinear Green strains. solved by aid Rayleigh–Ritz method Newton–Raphson method. modified rule-of-mixture employed to derive material properties imperfect FG beams. Comprehensive parametric studies conducted explore effects volume fraction and various dispersion patterns porosities, temperature field, arch geometry as well boundary conditions equilibrium path stability behavior Results reveal that porosities have a significant effect thermal path, maximum stress, bending moment at crown Moreover, influence structural central radial displacement evaluated. show make considerable difference displacements same dispersion. Due absence similar results specialized literature, paper likely provide pertinent instrumental toward reliable design environment.