Averaging of a layered elastic medium with low dynamic dissipation at the interlayer boundary

Yu. A. Bogan

Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090

Abstract: Averaged relations for a layered medium with dynamic dissipation at the interlayer boundary are constructed for dynamic problems of longitudinal shear and two-dimensional theory of elasticity. For low dissipation, the averaged boundary-value problem is shown to be singularly perturbed. The degeneration of the boundary-value problem is studied qualitatively.

Keywords: elasticity theory, longitudinal shear, averaging.

UDC: 593.3

Received: 24.10.2003

 English version: Journal of Applied Mechanics and Technical Physics, 2004, 45:4, 575–579

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