An Improved First-Order Shear Deformation Theory for Wave Propagation Analysis in FG-CNTRC Beams Resting on a Viscoelastic Substrate

Author:

Gawah Qais1,Bourada Fouad2,Al-Osta Mohammed A.13,Tahir Saeed I.1,Tounsi Abdelouahed1234,Yaylacı Murat56

Affiliation:

1. Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia

2. Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria

3. Interdisciplinary Research Center for Construction and Building Materials, KFUPM, 31261 Dhahran, Saudi Arabia

4. Department of Civil and Environmental Engineering, Lebanese American University, 309 Bassil Building Byblos, Lebanon

5. Department of Civil Engineering, Recep Tayyip Erdogan University, 53100 Rize, Turkey

6. Faculty of Turgut Kıran Maritime, Recep Tayyip Erdogan University, 53900 Rize, Turkey

Abstract

This paper aims to analyze the wave propagation in functionally graded carbon nanotube-reinforced composite (FG-CNTRC) beams placed on a viscoelastic foundation utilizing an improved first-order shear deformation theory (FSDT). The material properties are derived from the mixture rule. Four carbon nanotube distribution patterns are considered in the analysis. The extended Hamilton’s Principle is utilized to derive the governing wave equations for the CNTRC beam. A comparison between the present theory results and those in the literature is conducted for validation. The wave dispersion investigation is mainly based on the phase and group velocities. The results illustrate the wave propagation responses for the different CNT configurations. In addition, the influence of the CNTs volume fraction, foundation stiffness parameters, and damping coefficient on the wave characteristics is examined.

Funder

Interdisciplinary Research Center for Construction & Building Materials (IRC-CBM) at the King Fahd University of Petroleum & Minerals (KFUPM), Saudi Arabia

Publisher

World Scientific Pub Co Pte Ltd

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