Wave propagation of a functionally graded plate via integral variables with a hyperbolic arcsine function

IF 2.6 2区 工程技术 Q2 ENGINEERING, CIVIL
Mokhtar Ellali, Mokhtar Bouazza, Ashraf M. Zenkour
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引用次数: 0

Abstract

Several studies on functionally graded materials (FGMs) have been done by researchers, but few studies have dealt with the impact of the modification of the properties of materials with regard to the functional propagation of the waves in plates. This work aims to explore the effects of changing compositional characteristics and the volume fraction of the constituent of plate materials regarding the wave propagation response of thick plates of FGM. This model is based on a higher-order theory and a new displacement field with four unknowns that introduce indeterminate integral variables with a hyperbolic arcsine function. The FGM plate is assumed to consist of a mixture of metal and ceramic, and its properties change depending on the power functions of the thickness of the plate, such as linear, quadratic, cubic, and inverse quadratic. By utilizing Hamilton’s principle, general formulae of the wave propagation were obtained to establish wave modes and phase velocity curves of the wave propagation in a functionally graded plate, including the effects of changing compositional characteristics of materials.

通过带双曲余弦函数的积分变量计算功能分级板的波传播
研究人员对功能分级材料(FGMs)进行了多项研究,但很少有研究涉及材料特性的改变对波在板材中的功能传播的影响。本研究旨在探索改变板材料的组成特性和体积分数对 FGM 厚板波传播响应的影响。该模型基于高阶理论和新的位移场,包含四个未知数,引入了双曲余弦函数的不定积分变量。假定 FGM 板由金属和陶瓷的混合物组成,其特性随板厚度的幂函数而变化,如线性、二次方、三次方和反二次方。利用汉密尔顿原理,获得了波传播的一般公式,从而建立了波在功能分级板中传播的波模式和相速曲线,包括材料成分特性变化的影响。
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来源期刊
CiteScore
4.70
自引率
21.40%
发文量
1057
审稿时长
9 months
期刊介绍: Earthquake Engineering and Engineering Vibration is an international journal sponsored by the Institute of Engineering Mechanics (IEM), China Earthquake Administration in cooperation with the Multidisciplinary Center for Earthquake Engineering Research (MCEER), and State University of New York at Buffalo. It promotes scientific exchange between Chinese and foreign scientists and engineers, to improve the theory and practice of earthquake hazards mitigation, preparedness, and recovery. The journal focuses on earthquake engineering in all aspects, including seismology, tsunamis, ground motion characteristics, soil and foundation dynamics, wave propagation, probabilistic and deterministic methods of dynamic analysis, behavior of structures, and methods for earthquake resistant design and retrofit of structures that are germane to practicing engineers. It includes seismic code requirements, as well as supplemental energy dissipation, base isolation, and structural control.
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