{"title":"具有初始应力效应的温克勒-帕斯捷尔纳克地基中功能梯度纳米板的波传播","authors":"M. Ellali, M. Bouazza, A. M. Zenkour","doi":"10.1134/S1029959923030049","DOIUrl":null,"url":null,"abstract":"<p>This paper presents the analysis of wave propagation in functionally-graded (FG) nanoplates on a Winkler–Pasternak foundation. The investigation is carried out in the framework of nonlocal elasticity theory and a new four-unknown higher-order displacement theory including indeterminate integral terms. Hamilton’s principle and Navier’s method are used to obtain the frequency relations of FG nanoplates for different conditions by solving an eigenvalue problem. The obtained results for the frequency and phase velocity of wave propagation in an FG nanoplate are compared with recent outcomes of similar research.</p>","PeriodicalId":726,"journal":{"name":"Physical Mesomechanics","volume":null,"pages":null},"PeriodicalIF":1.8000,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Wave Propagation in Functionally-Graded Nanoplates Embedded in a Winkler–Pasternak Foundation with Initial Stress Effect\",\"authors\":\"M. Ellali, M. Bouazza, A. M. Zenkour\",\"doi\":\"10.1134/S1029959923030049\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>This paper presents the analysis of wave propagation in functionally-graded (FG) nanoplates on a Winkler–Pasternak foundation. The investigation is carried out in the framework of nonlocal elasticity theory and a new four-unknown higher-order displacement theory including indeterminate integral terms. Hamilton’s principle and Navier’s method are used to obtain the frequency relations of FG nanoplates for different conditions by solving an eigenvalue problem. The obtained results for the frequency and phase velocity of wave propagation in an FG nanoplate are compared with recent outcomes of similar research.</p>\",\"PeriodicalId\":726,\"journal\":{\"name\":\"Physical Mesomechanics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2023-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physical Mesomechanics\",\"FirstCategoryId\":\"88\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S1029959923030049\",\"RegionNum\":4,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATERIALS SCIENCE, CHARACTERIZATION & TESTING\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Mesomechanics","FirstCategoryId":"88","ListUrlMain":"https://link.springer.com/article/10.1134/S1029959923030049","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, CHARACTERIZATION & TESTING","Score":null,"Total":0}
Wave Propagation in Functionally-Graded Nanoplates Embedded in a Winkler–Pasternak Foundation with Initial Stress Effect
This paper presents the analysis of wave propagation in functionally-graded (FG) nanoplates on a Winkler–Pasternak foundation. The investigation is carried out in the framework of nonlocal elasticity theory and a new four-unknown higher-order displacement theory including indeterminate integral terms. Hamilton’s principle and Navier’s method are used to obtain the frequency relations of FG nanoplates for different conditions by solving an eigenvalue problem. The obtained results for the frequency and phase velocity of wave propagation in an FG nanoplate are compared with recent outcomes of similar research.
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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