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

Nikrad, S.F., Kanellopoulos, A., Bodaghi, M. ORCID: 0000-0002-0707-944X, Chen, Z.T. and Pourasghar, A., 2021. Large deformation behavior of functionally graded porous curved beams in thermal environment. Archive of Applied Mechanics. ISSN 0939-1533

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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.

Item Type: Journal article
Publication Title: Archive of Applied Mechanics
Creators: Nikrad, S.F., Kanellopoulos, A., Bodaghi, M., Chen, Z.T. and Pourasghar, A.
Publisher: Springer Science and Business Media LLC
Date: 11 February 2021
ISSN: 0939-1533
Rights: © The Author(s) 2021. Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit
Divisions: Schools > School of Science and Technology
Record created by: Linda Sullivan
Date Added: 18 Feb 2021 09:04
Last Modified: 31 May 2021 15:06

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