Mokhtar Ellali, Mokhtar Bouazza, Ashraf M. Zenkour
{"title":"Wave propagation of a functionally graded plate via integral variables with a hyperbolic arcsine function","authors":"Mokhtar Ellali, Mokhtar Bouazza, Ashraf M. Zenkour","doi":"10.1007/s11803-024-2256-6","DOIUrl":null,"url":null,"abstract":"<p>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.</p>","PeriodicalId":11416,"journal":{"name":"Earthquake Engineering and Engineering Vibration","volume":null,"pages":null},"PeriodicalIF":2.6000,"publicationDate":"2024-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Earthquake Engineering and Engineering Vibration","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1007/s11803-024-2256-6","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, CIVIL","Score":null,"Total":0}
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.
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.