Abstract
The in-plane thermoelastic response of curved beams made of porous materials with different types of functionally graded (FG) porosity is studied in this research contribution. Nonlinear governing equations are derived based on the first-order shear deformation theory along with the nonlinear Green strains. The nonlinear governing equations are solved by the aid of the Rayleigh–Ritz method along with the Newton–Raphson method. The modified rule-of-mixture is employed to derive the material properties of imperfect FG porous curved beams. Comprehensive parametric studies are conducted to explore the effects of volume fraction and various dispersion patterns of porosities, temperature field, and arch geometry as well as boundary conditions on the nonlinear equilibrium path and stability behavior of the FG porous curved beams. Results reveal that dispersion and volume fraction of porosities have a significant effect on the thermal stability path, maximum stress, and bending moment at the crown of the curved beams. Moreover, the influence of porosity dispersion and structural geometry on the central radial and in-plane displacement of the curved beams is evaluated. Results show that various boundary conditions make a considerable difference in the central radial displacements of the curved beams with the same porosity dispersion. Due to the absence of similar results in the specialized literature, this paper is likely to provide pertinent results that are instrumental toward a reliable design of FG porous curved beams in thermal environment.
Highlights
Curved beams are integral components widely used in aerospace, mechanical, and civil engineering structures such as circular truss antenna
The work presented in this paper aims to highlight the influence of different porosity dispersion patterns on the nonlinear radial deflection of functionally graded (FG) porous curved beams exposed to some variety of temperature rise functions
Consider a curved beam made of FG porous materials in which mechanical and thermal properties vary across the thickness direction, where the bottom surface of the curved beam is assumed to be made of full metal; on the other hand, the composition of the top surface is pure ceramic
Summary
Curved beams are integral components widely used in aerospace, mechanical, and civil engineering structures such as circular truss antenna. Chen et al [22] presented a numerical solution for buckling and static bending of shear deformable functionally graded beams with different types of boundary conditions in which the material properties, elasticity modulus, vary through the thickness due to the various assumptions of porosity distributions. The work presented in this paper aims to highlight the influence of different porosity dispersion patterns on the nonlinear radial deflection of FG porous curved beams exposed to some variety of temperature rise functions. For this purpose, nonlinear governing equations are derived based on the first-order shear deformation theory (FSDT) along with the nonlinear Green strains. Due to the absence of similar results in the literature, this paper is filling a gap in the state-of-the-art knowledge of FG porous structures essential to the design of FG porous curved beams under thermal loadings
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