Fracture and Structural Integrity e-ISSN 1971-8993 Open access
Analytical, Numerical and Physical Models Vol. 14, No. 52 (2020)

Numerical modeling of bending, buckling, and vibration of functionally graded beams by using a higher-order shear deformation theory

Author and affiliation details
  • Nabil Hebbar Corresponding author Department of Civil Engineering and Architecture, University of Abdelhamid Ibn-Badis, Mostaganem, Algeria. nabil_al@hotmail.fr
  • Imène Hebbar Department of Mechanical Engineering, University of Sidi Bel Abbes, Sidi Bel Abbes, Algeria. ORCID iD0000-0003-4999-6024
  • Djamel Ouinas Department of Mechanical Engineering, University of Abdelhamid Ibn-Badis, Mostaganem, Algeria. ORCID iD0000-0001-6289-9064
  • Mohamed Bourada Department of Civil Engineering, University of Sidi Bel Abbes, Sidi Bel Abbes, Algeria.
DOI
10.3221/IGF-ESIS.52.18
Pages
230-246
Published
Published inVol. 14, No. 52 (2020)Go to the issue

Abstract

The objective of this work is to analyze the behavior beams functionally graded, simply supported, under different conditions such as bending, buckling, and vibration and this by use shear deformation theories a two-dimensional (2D) and quasi-three-dimensional (quasi-3D). The proposed theories take into account a new field of displacement which includes indeterminate whole terms and contains fewer unknowns, compared to other theories of the literature; by taking account of the effects of the transverse shears and the thickness stretching. In this theory, the distribution of the transverse shear stress is hyperbolic and satisfies the boundary conditions on the upper and lower surfaces of the beam without the need for a shear correction factor. In this type of beam the properties of the materials vary according to a distribution of the volume fraction, the Hamilton principle is used to calculate the equations of motion, and in order to check the accuracy of the theory used comparison is made with the studies existing in the literature.

Keywords

Article history

  1. ReceivedUntil the next stage: 2 days
  2. AcceptedUntil the next stage: 18 days
  3. Published

How to cite

APA

Hebbar, N., Hebbar, I., Ouinas, D., & Bourada, M. (2020). Numerical modeling of bending, buckling, and vibration of functionally graded beams by using a higher-order shear deformation theory. Fracture and Structural Integrity, 14(52), 230–246. https://doi.org/10.3221/IGF-ESIS.52.18

IEEE

N. Hebbar, I. Hebbar, D. Ouinas, and M. Bourada, “Numerical modeling of bending, buckling, and vibration of functionally graded beams by using a higher-order shear deformation theory,” Fracture and Structural Integrity, vol. 14, no. 52, pp. 230–246, 2020, doi: 10.3221/IGF-ESIS.52.18.

MLA

Hebbar, Nabil, et al. “Numerical modeling of bending, buckling, and vibration of functionally graded beams by using a higher-order shear deformation theory.” Fracture and Structural Integrity, vol. 14, no. 52, 2020, pp. 230–246. https://doi.org/10.3221/IGF-ESIS.52.18.

Chicago

Hebbar, Nabil, Imène Hebbar, Djamel Ouinas, and Mohamed Bourada. 2020. “Numerical modeling of bending, buckling, and vibration of functionally graded beams by using a higher-order shear deformation theory.” Fracture and Structural Integrity 14 (52): 230–246. https://doi.org/10.3221/IGF-ESIS.52.18.

Harvard

Hebbar, N., Hebbar, I., Ouinas, D. and Bourada, M. (2020) ‘Numerical modeling of bending, buckling, and vibration of functionally graded beams by using a higher-order shear deformation theory’, Fracture and Structural Integrity, 14(52), pp. 230–246. doi: 10.3221/IGF-ESIS.52.18.

Vancouver

Hebbar N, Hebbar I, Ouinas D, Bourada M. Numerical modeling of bending, buckling, and vibration of functionally graded beams by using a higher-order shear deformation theory. Fracture and Structural Integrity. 2020;14(52):230-246. doi:10.3221/IGF-ESIS.52.18

BibTeX

@article{hebbar2020, author = {Hebbar, Nabil and Hebbar, Imène and Ouinas, Djamel and Bourada, Mohamed}, title = {Numerical modeling of bending, buckling, and vibration of functionally graded beams by using a higher-order shear deformation theory}, journal = {Fracture and Structural Integrity}, year = {2020}, volume = {14}, number = {52}, pages = {230--246}, doi = {10.3221/IGF-ESIS.52.18}, url = {https://doi.org/10.3221/IGF-ESIS.52.18}, issn = {1971-8993} }

RIS

TY - JOUR AU - Hebbar, Nabil AU - Hebbar, Imène AU - Ouinas, Djamel AU - Bourada, Mohamed TI - Numerical modeling of bending, buckling, and vibration of functionally graded beams by using a higher-order shear deformation theory JO - Fracture and Structural Integrity T2 - Fracture and Structural Integrity PY - 2020 DA - 2020/03/03 VL - 14 IS - 52 SP - 230 EP - 246 DO - 10.3221/IGF-ESIS.52.18 UR - https://doi.org/10.3221/IGF-ESIS.52.18 SN - 1971-8993 ER -

Licence

Copyright © 2020 Nabil Hebbar, Imène Hebbar, Djamel Ouinas, Mohamed Bourada.

Copyright 
Authors are allowed to retain both the copyright and the publishing rights of their articles without restrictions.  

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