LAMB WAVES IN NONLOCAL ELASTIC PLATE WITH VOIDS

被引:8
作者
Kaur, Gurwinderpal [1 ]
Singh, Dilbag [1 ,2 ]
Tomar, S. K. [1 ]
机构
[1] Panjab Univ, Dept Math, Chandigarh 160014, India
[2] Univ Grants Commiss, New Delhi 110002, India
关键词
Lamb waves; nonlocality; voids; dispersion; attenuation; PLANE-WAVES; PROPAGATION; DISPERSION;
D O I
10.2140/jomms.2021.16.389
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The propagation of Lamb-type waves in a nonlocal elastic plate with voids having uniform thickness has been investigated. Using appropriate boundary conditions, the dispersion relations corresponding to symmetric and antisymmetric vibrations have been presented. It is found that the both symmetric and antisymmetric families face critical frequency beyond which they cease to propagate. For the fundamental modes, the phase speeds, the attenuation coefficients and their mode shapes are computed numerically for a particular model. The effect of nonlocality and void parameters on these phase speeds and attenuation coefficients has been depicted and the results obtained are presented graphically.
引用
收藏
页码:389 / 405
页数:17
相关论文
共 50 条
[41]   Shear Waves in an Initially Stressed Elastic Plate with Periodic Corrugations [J].
Hawwa, Muhammad A. .
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2017, 42 (05) :1831-1840
[42]   Inhomogeneous plane waves in elastic materials with voids [J].
Chirita, Stan ;
Ghiba, Ionel-Dumitrel .
WAVE MOTION, 2010, 47 (06) :333-342
[43]   Rayleigh-type waves in magneto-elastic half-space containing voids [J].
Kumar, Ashish ;
Tomar, S. K. .
ARCHIVE OF APPLIED MECHANICS, 2024, 94 (05) :1273-1289
[44]   Love-Type Waves in Multilayered Elastic Media Containing Voids: Haskell Matrix Method [J].
Savkirat Kaur ;
Aarti Khurana ;
S. K. Tomar .
Journal of Elasticity, 2023, 153 :29-52
[45]   Rayleigh-Type Waves in Microstretch Elastic Solid Half-Space Containing Voids [J].
Garg, Manisha ;
Singh, Dilbag ;
Tomar, S. K. .
MECHANICS OF SOLIDS, 2023, 58 (09) :3380-3396
[46]   Nonlinear feature of phase matched Lamb waves in solid plate [J].
Li, Weibin ;
Chen, Bingyao ;
Cho, Younho .
APPLIED ACOUSTICS, 2020, 160
[47]   Lamb waves in an anisotropic plate of a single crystal silicon wafer [J].
Park, Young-Kyu ;
Kim, Young H. .
NDT IN PROGRESS 2011, PROCEEDINGS, 2011, :199-205
[48]   Low-frequency asymptotics of complex dispersion curves for lamb waves in layered elastic plate [J].
D. D. Zakharov .
Acoustical Physics, 2017, 63 :497-507
[49]   Lamb waves in multilayered piezoelectric semiconductor plates [J].
Tian, Ru ;
Yi, Lisha ;
Nie, Guoquan ;
Liu, Jinxi ;
Pan, Ernian ;
Wang, Yuesheng .
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2025, 46 (08) :1493-1510
[50]   Lamb Waves in Functionally Graded and Laminated Composites [J].
Ilyashenko, Alla, V ;
Kuznetsov, Sergey, V .
JOURNAL OF THEORETICAL AND COMPUTATIONAL ACOUSTICS, 2020, 28 (03)