Analysis of the Impact of the Viscoelastic Foundation on Bending and Vibration of FG Porous Nanoplates within Integral Higher-Order Shear Deformation Theory

IF 1.8 4区 材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING
I. Baghdali, A. Attia, F. Bourada, A. A. Bousahla, Abdeldjebbar Tounsi, H. Heireche, Abdelouahed Tounsi, M. Bourada, M. Yaylaci
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Abstract

This work examines the bending and vibration responses of a functionally graded (FG) 2D nanostructure resting on the viscoelastic foundation. The FG structure properties vary gradually in the thickness direction. In this investigation, three porosity patterns are examined. The nonlocal equilibrium equations are derived by Hamilton’s principle using Eringen’s nonlocal elasticity theory, which incorporates the integral plate theory with a reduced number of unknowns. The results computed for the studied simply supported FG nanoplates are compared with those published in the open literature. Several parametric studies are performed to illustrate various influences of the plate geometry, material inhomogeneity, elastic damping coefficient, and nonlocal effect on the stresses, frequency, and central deflection of FG nanoplates.

Abstract Image

在积分高阶剪切变形理论中分析粘弹性地基对 FG 多孔纳米板弯曲和振动的影响
本文研究了基于粘弹性基础的功能梯度(FG)二维纳米结构的弯曲和振动响应。FG结构性能在厚度方向上逐渐变化。在本研究中,研究了三种孔隙模式。利用Eringen的非局部弹性理论,利用Hamilton原理推导了非局部平衡方程,该理论结合了积分板理论,减少了未知量。对所研究的简支FG纳米板的计算结果与公开发表的结果进行了比较。本文进行了几个参数研究,以说明板的几何形状、材料的不均匀性、弹性阻尼系数和非局部效应对FG纳米板的应力、频率和中心挠度的各种影响。
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来源期刊
Physical Mesomechanics
Physical Mesomechanics Materials Science-General Materials Science
CiteScore
3.50
自引率
18.80%
发文量
48
期刊介绍: The journal provides an international medium for the publication of theoretical and experimental studies and reviews related in the physical mesomechanics and also solid-state physics, mechanics, materials science, geodynamics, non-destructive testing and in a large number of other fields where the physical mesomechanics may be used extensively. Papers dealing with the processing, characterization, structure and physical properties and computational aspects of the mesomechanics of heterogeneous media, fracture mesomechanics, physical mesomechanics of materials, mesomechanics applications for geodynamics and tectonics, mesomechanics of smart materials and materials for electronics, non-destructive testing are viewed as suitable for publication.
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