Low-frequency long-wave approximations of the 3D dynamic equations for the case of double-layered viscoelastic plate

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.