LOW-FREQUENCY LONG-WAVE APPROXIMATIONS OF THE 3D DYNAMIC EQUATIONS FOR THE CASE OF DOUBLE-LAYERED VISCOELASTIC PLATE

被引:0
|
作者
Anofrikova, N. S. [1 ]
Wilde, M. V. [2 ]
机构
[1] Saratov NG Chernyshevskii State Univ, Dept Math Theory Elast & Biomech, 83 Astrakhanskaya St, Saratov 410012, Russia
[2] Saratov NG Chernyshevskii State Univ, Educ Res Inst Nanostruct & Biosyst, Saratov 410012, Russia
来源
VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI | 2012年 / 04期
关键词
double-layered plate; viscoelasticity; asymptotic methods; low-frequency long-wave approximations;
D O I
10.14498/vsgtu1085
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The asymptotic methods developed to obtain low-frequency long-wave approximations of the 3D dynamic equations for the case of double-layered viscoelastic plate are described. The 2D equations for the leading tangential and transverse approximations of stress-strain state are derived. The method of asymptotic integration of exact 3D equations is applied.
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页码:115 / 121
页数:7
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