Anti-plane waves in an elastic thin strip with surface energy

被引：9
|
作者：
Mikhasev, G. I. [1 ]
Botogova, M. G. [1 ]
Eremeyev, V. A. [2 ,3 ]
机构：
[1] Belarusian State Univ, Fac Mech & Math, Nezavisimosty Ave 4, Minsk 220030, BELARUS
[2] Univ Cagliari, Dept Civil & Environm Engn & Architecture DICAAR, Via Marengo 2, I-09123 Cagliari, Italy
[3] Gdask Univ Technol, Fac Civil & Environm Engn, Ul Gabriela Narutowicza 11-12, PL-80233 Gdask, Poland
来源：
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2022年 / 380卷 / 2231期
关键词：
surface elasticity; anti-plane waves; dispersion relations; CRACK; INTERFACE; CLARIFICATION; PROPAGATION; DISPERSION; STRESS; SOLIDS; MEDIA; SOFT;
D O I：
10.1098/rsta.2021.0373
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We consider anti-plane motions of an elastic plate taking into account surface energy within the linear Gurtin-Murdoch surface elasticity. Two boundary-value problems are considered that describe complete shear dynamics of a plate with free faces or with free and clamped faces, respectively. These problems correspond to anti-plane dynamics of an elastic film perfectly or non-perfectly attached to a rigid substrate. Detailed analysis of dispersion relations is provided. In particular, the influence of the ratio of a plate thickness to characteristic length on the dispersion curves is analysed. This article is part of the theme issue 'Wave generation and transmission in multi-scale complex media and structured metamaterials (part 1)'.
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页数：15
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