Mechanics

Nonlinear Wave on the Surface Layer of a Viscous Liquid

Authors: Basinsky K. Y.

The nonlinear problem of the propagation of waves on the free surface of the layer of viscous incompressible fluid of infinite depth in the plane case. Using small parameter method, this nonlinear problem is decomposed into problems in the first two approximations that consistently allowed. Nonlinear expressions for the components of the velocity vector, the dynamic pressure and the shape of the free surface. The motion of particles of the viscous fluid caused by the spread of the wave of the free surface.

The Problem of a Longitudinal Crack with a Filler in a Strip

Authors: Antonenko N. N.

The method of the solution the problem of the central longitudinal crack with a filler in a strip is proposed. It is assumed that the jumps of the components of displacement vector is proportional to the corresponding stresses at its upper edge. Fourier’s method of integral transformation is used. The problem is reduced to a system of integro-differential equations. The effects of influence of thickness, mechanical properties of a strip and a filler of the crack on Mode I and Mode II stresses intensity factors (SIFs) are examined.