Wave Propagation in Functionally-Graded Nanoplates Embedded in a Winkler-Pasternak Foundation with Initial Stress Effect

被引：4

作者：

Ellali, M. ^{[1
]}

Bouazza, M. ^{[2
,3
]}

Zenkour, A. M. ^{[4
]}

机构：

[1] Univ Ain Temouchent, Smart Struct Lab, Ain Temouchent 46000, Algeria

[2] Univ Tahri Mohamed Bechar, Dept Civil Engn, Bechar 08000, Algeria

[3] Univ Djillali Liabes Sidi Bel Abbes, Lab Mat & Hydrol, Sidi Bel Abbes 22000, Algeria

[4] Kafrelsheikh Univ, Fac Sci, Dept Math, Kafrelsheikh 33516, Egypt

来源：

PHYSICAL MESOMECHANICS | 2023年 / 26卷 / 03期

关键词：

functionally-graded nanoplate; indeterminate integral variables; wave propagation; Winkler-Pasternak foundation; scale effect; initial stress; LAMINATED COMPOSITE PLATES; SHEAR DEFORMATION-THEORY; VIBRATION; BEHAVIOR;

D O I：

10.1134/S1029959923030049

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

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.

引用

页码：282 / 294

页数：13

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