Buckling behavior of a single-layered graphene sheet resting on viscoelastic medium via nonlocal four-unknown integral model

Moussa Bellal , Habib Hebali , Houari Heireche , Abdelmoumen Anis Bousahla , Abdeldjebbar Tounsi , Fouad Bourada , S.R. Mahmoud , E.A. Adda Bedia , Abdelouahed Tounsi

Abstract

In the present work, the buckling behavior of a single-layered graphene sheet (SLGS) embedded in visco-Pasternak\' s medium is studied using nonlocal four-unknown integral model. This model has a displacement field with integral terms which includes the effect of transverse shear deformation without using shear correction factors. The visco-Pasternak\'s medium is introduced by considering the damping effect to the classical foundation model which modeled by the linear Winkler\'s coefficient and Pasternak\' s coefficients, damping parameter, and mode numbers on the buckling response of the SLGSs are studied and discussed.

Key Words

non-uniform buckling; four-unknown integral model; nonlocal elasticity theory; visco-Pasternak\'s medium

Address

Moussa Bellal and Houari Heireche — Laboratoire de Modélisation et Simulation Multi-échelle, Département de Physique, Faculté des Sciences Exactes, Département de Physique, Université de Sidi Bel Abbés, Algeria
Habib Hebali — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria; University Mustapha Stambouli of Mascara, Civil Engineering Department, Mascara, Algeria
Abdelmoumen Anis Bousahla and Abdeldjebbar Tounsi — 1Laboratoire de Modélisation et Simulation Multi-échelle, Département de Physique, Faculté des Sciences Exactes, Département de Physique, Université de Sidi Bel Abbés, Algeria; Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia
Fouad Bourada — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria; Département des Sciences et de la Technologie, centre universitaire de Tissemsilt, BP 38004 Ben Hamouda, Algeria
S.R. Mahmoud — GRC Department, Jeddah Community College, King Abdulaziz University, Jeddah, Saudi Arabia
E.A. Adda Bedia — Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia
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

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