Stability analysis of FG sandwich beams under various boundary conditions via refined integral theory

Fouad Bourada , Lemya Hanifi Hachemi Amar , Abdelhakim Kaci , Abdelmoumen Anis Bousahla , Mofareh Hassan Ghazwani , Abdelouahed Tounsi , Kouider Halim Benrahou , Hind Albalawi

Abstract

This work investigates the buckling analysis of isotropic and sandwich beams under various boundary conditions based on a new refined trigonometric shear deformation theory. This theory includes indeterminate integral variables in which any shear correction factor is not used, even less than the conventional theory of first shear strain (FSDT). The governing equations and boundary conditions are obtained by applying the virtual displacements principle. Galerkin's approach is utilized for FG sandwich beams with three different boundary conditions to solve the buckling problem for different boundary conditions. A detailed numerical study is carried out to examine the influence of power-law index, span-to-depth ratio, side-to-thickness ratio, and boundary conditions on the buckling response of isotropic and FGM sandwich beams. A good agreement between the results obtained and the available solutions of existing shear deformation theories demonstrates the proposed theory's precision.

Key Words

buckling sandwich beams; functionally graded materials; new refined shear deformation theory; various boundary conditions

Address

Fouad Bourada and Kouider Halim Benrahou — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria
Lemya Hanifi Hachemi Amar — Ecole Nationale Supérieure d'Ingénieurs de Bretagne Sud, Institut de Recherche Dupuy de Lôme (IRDL), UMR CNRS 6027, Centre de Recherche, Rue de Saint Maudé-BP 92116, 56321 Lorient Cedex, France
Abdelhakim Kaci — 1) Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria, 2) Université Dr Tahar Moulay, Faculté de Technologie, Département de Génie Civil et Hydraulique, BP 138 Cité En-Nasr 20000 Saida, Algérie
Abdelmoumen Anis Bousahla — Laboratoire de Modélisation et Simulation Multi-échelle, Université de Sidi Bel Abbés, Algeria
Mofareh Hassan Ghazwani — Department of Mechanical Engineering, Faculty of Engineering, Jazan University, P.O Box 45124, Jazan, Kingdom of Saudia Arabia
Abdelouahed Tounsi — 1) Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria, 2) Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia
Hind Albalawi — Department of Physics, College of Sciences, Princess Nourah bint Abdulrahman University (PNU), P.O. Box 84428, Riyadh 11671, Saudi Arabia

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