Waves dispersion in an imperfect functionally graded beam resting on visco-Pasternak foundation

Saeed I. Tahir , Abdelbaki Chikh , Ismail M. Mudhaffar , Abdelouahed Tounsi , Mohammed A. Al-Osta

Abstract

This article investigates the effect of viscoelastic foundations on the waves' dispersion in a beam made of ceramic-metal functionally graded material (FGM) with microstructural defects. The beam is considered to be shear deformable, and a simple three-unknown sinusoidal integral higher-order shear deformation beam theory is applied to represent the beam's few-unknowns theory. The stresses and strains are obtained using the two-dimensional elasticity relations of FGM, neglecting the normal strain in the beam's thickness, the porosity, and visco-Pasternak foundation parameters are represented. Results showed that phase velocity was inversely proportional to the damping and porosity of the beams. Additionally, the foundation viscous damping had a stronger influence on wave velocity when porosity volume fractions were low.

Key Words

FGM beam; porosity; visco-Pasternak foundation; wave dispersion

Address

Saeed I. Tahir and Ismail M. Mudhaffar — Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia
Abdelbaki Chikh — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria; Université Ibn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algérie
Abdelouahed Tounsi — Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia; Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria; YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea; Interdisciplinary research center for Construction and Building Materials, KFUPM, 31261 Dhahran, Saudi Arabia
Mohammed A. Al-Osta — Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia; Interdisciplinary research center for Construction and Building Materials, KFUPM, 31261 Dhahran, Saudi Arabia

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