|
Coupled Systems Mechanics Volume 12, Number 3, June 2023 , pages 199-220 DOI: https://doi.org/10.12989/csm.2023.12.3.199 |
||
|
On the effect of porosity on the shear correction factors of functionally graded porous beams |
||
Ben Abdallah Medjdoubi, Mohammed Sid Ahmed Houari, Mohamed Sadoun, Aicha Bessaim, Ahmed Amine Daikh, Mohamed-Ouejdi Belarbi, Abdelhak Khechai, Aman Garg and Mofareh Hassan Ghazwani
|
||
| Abstract | ||
| This article presents a new analytical model to study the effect of porosity on the shear correction factors (SCFs) of functionally graded porous beams (FGPB). For this analysis, uneven and logarithmic-uneven porosity functions are adopted to be distributed through the thickness of the FGP beams. Critical to the application of this theory is a determination of the correction factor, which appears as a coefficient in the expression for the transverse shear stress resultant; to compensate for the assumption that the shear strain is uniform through the depth of the crosssection. Using the energy equivalence principle, a general expression is derived from the static SCFs in FGPB. The resulting expression is consistent with the variationally derived results of Reissner's analysis when the latter are reduced from the two-dimensional case (plate) to the one-dimensional one (beam). A convenient algebraic form of the solution is presented and new study cases are given to illustrate the applicability of the present formulation. Numerical results are presented to illustrate the effect of the porosity distribution on the (SCFs) for various FGPBs. Further, the law of changing the mechanical properties of FG beams without porosity and the SCFare numerically validated by comparison with some available results. | ||
| Key Words | ||
| functionally graded beam; porosity; shear correction factor; transverse shear | ||
| Address | ||
| Ben Abdallah Medjdoubi, Mohammed Sid Ahmed Houari, Mohamed Sadoun, Aicha Bessaim: Laboratoire d'Etude des Structures et de Mécanique des Matériaux, Département de Génie Civil, Faculté des Sciences et de la Technologie, Université Mustapha Stambouli, Mascara 29 000, Algérie Ahmed Amine Daikh: Laboratoire d'Etude des Structures et de Mécanique des Matériaux, Département de Génie Civil, Faculté des Sciences et de la Technologie, Université Mustapha Stambouli, Mascara 29 000, Algérie; Department of Technology, University Centre of Naama, P.O. Box 66, 45000 Naama, Algeria Mohamed-Ouejdi Belarbi, Abdelhak Khechai: Laboratoire de Recherche en Génie Civil, LRGC, Université de Biskra, B.P. 145, R.P. 07000, Biskra, Algeria Aman Garg: Department of Civil and Environmental Engineering, The NorthCap University, Gurugram, Haryana, 122017, India Mofareh Hassan Ghazwani: Department of Mechanical Engineering, Jazan University, P.O. Box 114, Jazan, 45142, Saudi Arabia | ||
