LOW-FREQUENCY LONG-WAVE APPROXIMATIONS OF THE 3D DYNAMIC EQUATIONS FOR THE CASE OF DOUBLE-LAYERED VISCOELASTIC PLATE
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作者:
Anofrikova, N. S.
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Saratov NG Chernyshevskii State Univ, Dept Math Theory Elast & Biomech, 83 Astrakhanskaya St, Saratov 410012, RussiaSaratov NG Chernyshevskii State Univ, Dept Math Theory Elast & Biomech, 83 Astrakhanskaya St, Saratov 410012, Russia
Anofrikova, N. S.
[1
]
Wilde, M. V.
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h-index: 0
机构:
Saratov NG Chernyshevskii State Univ, Educ Res Inst Nanostruct & Biosyst, Saratov 410012, RussiaSaratov NG Chernyshevskii State Univ, Dept Math Theory Elast & Biomech, 83 Astrakhanskaya St, Saratov 410012, Russia
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
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2012年
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04期
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.