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

作　　者：Mokhtar Ellali Mokhtar Bouazza Ashraf M.Zenkour 

机构地区：[1]Smart structures Laboratory,University of Ain Temouchent,Ain Temouchent 46000,Algeria [2]Department of Civil Engineering,University Tahri Mohamed of Bechar,Bechar 08000,Algeria [3]Department of Mathematics,Faculty of Science,King Abdulaziz University,Jeddah 21589,Saudi Arabia [4]Laboratory of Materials and Hydrology(LMH),University of Sidi Bel Abbes,Sidi Bel Abbes 22000,Algeria [5]Department of Mathematics,Faculty of Science,Kafrelsheikh University,Kafrelsheikh 33516,Egypt

出　　处：《Earthquake Engineering and Engineering Vibration》2024年第3期547-561,共15页地震工程与工程振动（英文刊）

摘　　要：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.

关 键 词：FGM plate effects of material properties wave propagation indeterminate integral variables inverse sinus hyperbolic function 

分 类 号：TU311.3[建筑科学—结构工程]