Investigation of the mechanical behavior of functionally graded sandwich thick beams

Fethi Mouaici, Abed Bouadi, Mohamed Bendaida, Kada Draiche, Abdelmoumen Anis Bousahla, Fouad Bourada, Abdelouahed Tounsi, Mofareh Hassan Ghazwani9 and Ali Alnujaie

Abstract

In this paper, an accurate kinematic model has been developed to study the mechanical response of functionally graded (FG) sandwich beams, mainly covering the bending, buckling and free vibration problems. The studied structure with homogeneous hardcore and softcore is considered to be simply supported in the edges. The present model uses a new refined shear deformation beam theory (RSDBT) in which the displacement field is improved over the other existing high-order shear deformation beam theories (HSDBTs). The present model provides good accuracy and considers a nonlinear transverse shear deformation shape function, since it is constructed with only two unknown variables as the Euler-Bernoulli beam theory but complies with the shear stress-free boundary conditions on the upper and lower surfaces of the beam without employing shear correction factors. The sandwich beams are composed of two FG skins and a homogeneous core wherein the material properties of the skins are assumed to vary gradually and continuously in the thickness direction according to the power-law distribution of volume fraction of the constituents. The governing equations are drawn by implementing Hamilton's principle and solved by means of the Navier

Key Words

bending; buckling; FG sandwich beams; free vibration; kinematic model; RSDBT

Address

Fethi Mouaici: 1)Department of Civil Engineering, Faculty of Technology, University of Blida1, Algeria 2)Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria Abed Bouadi: Department of Physics, University of Science and Technology of Oran (USTO), 31024, Oran, Algeria Mohamed Bendaida: Laboratoire de Modélisation et Simulation Multi-Echelle, Université de Sidi Bel Abbés, Algeria Kada Draiche:1) 2Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria 2)Department of Civil Engineering, University Ibn Khaldoun Tiaret, BP 78 Zaaroura, 14000 Tiaret, Algeria Abdelmoumen Anis Bousahla: Laboratoire de Modélisation et Simulation Multi-Echelle, Université de Sidi Bel Abbés, Algeria Fouad Bourada:1) Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria 2) Département des Sciences et de la Technologie, université de Tissemsilt, BP 38004 Ben Hamouda, Algérie Abdelouahed Tounsi:1) Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria 7)YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea 8)Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia Mofareh Hassan Ghazwani: Department of Mechanical Engineering, Faculty of Engineering, Jazan University, P.O Box 45124, Jazan, Kingdom of Saudia Arabia Ali Alnujaie: Department of Mechanical Engineering, Faculty of Engineering, Jazan University, P.O Box 45124, Jazan, Kingdom of Saudia Arabia

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