Effect of the variable visco-Pasternak foundations on the bending and dynamic behaviors of FG plates using integral HSDT model

Habib Hebali , Abdelbaki Chikh , Abdelmoumen Anis Bousahla , Fouad Bourada , Abdeldjebbar Tounsi , Kouider Halim Benrahou , Muzamal Hussain , Abdelouahed Tounsi

Abstract

In this work, the bending and dynamic behaviors of advanced composite plates resting on variable visco-Pasternak foundations are studied using a simple shear deformation integral plate model. The research is carried out with a view to a three-parameter foundation including the influences of the variable Winkler coefficient, the constant Pasternak coefficient and the damping coefficient of the elastic medium. The present theory uses a displacement field with integral terms instead of derivative terms by including also the shear deformation effect without introducing the shear correction factors. The equations of motion for advanced composite plates are obtained using the Hamilton principle. Analytical solutions for the bending and dynamic analysis are deduced for simply supported plates resting on variable visco-Pasternak foundations. Some numerical results are presented to demonstrate the impact of material index, elastic foundation type, and damping coefficient of the foundation, on the bending and dynamic responses of advanced composite plates.

Key Words

bending; FGM; HSDT; Plate; variable visco-Pasternak foundations; vibration

Address

Habib Hebali — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Tech nology, Civil Engineering Department, Algeria; Departement of Civil Engineering, University Mustapha Stambouli of Mascara, Algeria
Abdelbaki Chikh — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Tech nology, Civil Engineering Department, Algeria; Université Ibn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algérie
Abdelmoumen Anis Bousahla — Laboratoire de Modélisation et Simulation Multi-échelle, Université de Sidi Bel Abbés, Algeria
Fouad Bourada — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Tech nology, Civil Engineering Department, Algeria; Département des Sciences et de la Technologie, Université de Tissemsilt, BP 38004 Ben Hamouda, Algérie
Abdeldjebbar Tounsi and Kouider Halim Benrahou — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Tech nology, Civil Engineering Department, Algeria
Muzamal Hussain — Department of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, Pakistan
Abdelouahed Tounsi — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Tech nology, Civil Engineering Department, Algeria; YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea; Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia; Interdisciplinary Research Center for Construction and Building Materials, KFUPM, Dhahran, Saudi Arabia

PDF Viewer

Preview is limited to the first 3 pages. Sign in to access the full PDF.

← Back to Volume 28, No. 1