On the effect of shear deformation on the mechanical behavior of advanced composite sandwich beams
Mohamed Fellouh,Kada Draiche,Hadj Bekki,Abdelouahed Tounsi,Mohammed A. Balubaid,Ghazi Alsoruji,S.R. Mahmoud
Abstract
In this work, a novel single-variable parabolic shear deformation beam theory (SPSDBT) is employed to examine the mechanical response of advanced composite sandwich beams with homogeneous isotropic core materials. The proposed approach is based on a new high-order model in which the displacement field is optimized over other existing high-order shear deformation beam theories (HSDBTs), as it is formulated with fewer unknowns than those required in the classical Euler-Bernoulli beam theory. The axial displacement field is modeled using cubic polynomial functions with respect to the thickness coordinate, enabling a precise presentation of transverse shear deformation effects. Four types of advanced composite sandwich beams are examined, incorporating both hard and soft isotropic cores. The mechanical properties of the face sheets are assumed to vary gradually through the thickness direction according to the volume fraction of the constituents, whereas the core is made of a homogeneous material (either ceramic or metal). The governing equations are systematically derived from Hamilton''s variational principle and analytically solved for simply supported boundary conditions via the Navier solution technique. The robustness and versatility of the proposed model are confirmed through a comprehensive numerical study, targeting both buckling and free vibration responses of sandwich beams. These simulations explicitly account for transverse shear deformation effects and assess the influence of various parameters, such as the material gradient index and the lengthto- thickness ratio, on the non-dimensional natural frequencies and critical buckling loads. The numerical computations were compared and showed excellent agreement with those obtained from alternative higher-order shear deformation beam models, thereby, validating the accuracy of the proposed theory.
Mohamed Fellouh — Department of Civil Engineering, University of Tiaret, BP 78 Zaaroura, 14000 Tiaret, Algeria; Laboratory of Geomatics and Sustainable Development, University of Tiaret, Algeria
Kada Draiche — Department of Civil Engineering, University of Tiaret, BP 78 Zaaroura, 14000 Tiaret, Algeria; Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria
Hadj Bekki — Department of Civil Engineering, University of Tiaret, BP 78 Zaaroura, 14000 Tiaret, Algeria
Abdelouahed Tounsi — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria; Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia
Mohammed A. Balubaid — Department of Industrial Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia
Ghazi Alsoruji — Department of the Mechanical Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia
S.R. Mahmoud — GRC Department, Applied College, King Abdulaziz University, Jeddah, Saudi Arabia
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