An integral four-variable hyperbolic HSDT for the wave propagation investigation of a ceramic-metal FGM plate with various porosity distributions resting on a viscoelastic foundation

被引：64

作者：

Tahir, Saeed I. ^{[1
]}

Tounsi, Abdelouahed ^{[1
,2
,3
]}

Chikh, Abdelbaki ^{[3
,4
]}

Al-Osta, Mohammed A. ^{[1
,5
]}

Al-Dulaijan, Salah U. ^{[1
]}

Al-Zahrani, Mesfer M. ^{[1
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Civil & Environm Engn, Dhahran, Saudi Arabia

[2] Yonsei Univ, YFL Yonsei Frontier Lab, Seoul, South Korea

[3] Univ Djillali Liabes Sidi Bel Abbes, Civil Engn Dept, Fac Technol, Mat & Hydrol Lab, Sidi Bel Abbes, Algeria

[4] Univ Ibn Khaldoun, Dept Genie Civil, Tiaret, Algeria

[5] KFUPM, Interdisciplinary Res Ctr Construct & Bldg Mat, Dhahran, Saudi Arabia

来源：

WAVES IN RANDOM AND COMPLEX MEDIA | 2021年

关键词：

Wave propagation; functionally graded plate; porosity; viscoelastic foundation; integral higher-order plate theory; SHEAR DEFORMATION-THEORY; FREE-VIBRATION ANALYSIS; THERMAL BUCKLING RESPONSE; GRADED SANDWICH PLATES; NONLINEAR VIBRATION; ELASTIC-FOUNDATION; STABILITY; EFFICIENT; BEAMS; LOAD;

D O I：

10.1080/17455030.2021.1942310

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This work studies the dispersion relations of wave propagation in infinite advanced functionally graded (FG) ceramic-metal plates. A simple integral hyperbolic higher-order shear deformation theory (HSDT), with undetermined integral terms and only four unknowns, is used to formulate a solution for the waves' dispersion relations. The effective functionally graded materials' (FGM) properties follow the power-law with three different types of uneven porosity distributions. The effect of foundation viscosity is investigated by considering the damping coefficient in addition to Winkler's and Pasternak's parameters. The wave propagation's governing equations are derived based on the present integral hyperbolic HSDT using Hamilton's principle. The eigenvalue problem describing the porous FG plate dispersion relations resting on a viscoelastic foundation is analytically determined. The theory accuracy is validated by numerically comparing the results with previously published works. Finally, the influences of gradation power, porosity parameters, and the viscoelastic foundation parameters on wave propagation in an FG plate are examined and discussed.

引用

页码：1616 / 1639

页数：24

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