### ASA 128th Meeting - Austin, Texas - 1994 Nov 28 .. Dec 02

## 4pPAb13. The impact of a rigid body of revolution with an elastic layer of
finite thickness.

**Yu. A. Rossikhin
**

**
M. V. Shitikova
**

**
**
*Dept. of Theor. Mech., Voronezh State Academy of Construction and
Architecture, ul.Kirova 3-75, Voronezh 394018, Russia
*

*
*
The problem of the impact of a rigid body of revolution with an elastic
isotropic layer is considered in the initial stage of dynamic interaction. The
initial stage is characterized by the fact that the velocity of the
displacement of the intersection points of the sphere with the upper boundary
of the layer is larger than the velocity of longitudinal waves; in so doing the
free surface external to the contact domain with the body is undisturbed. The
method of successive approximations as well as the ray method, according to
which the solution behind the fronts of incident and reflected waves is
constructed in terms of power series (ray expansions), are used as methods of
solution. In the problem under consideration, use has been made of one-term ray
expansions whereby the main characteristics of the shock interaction have been
obtained, and the possibility of localized damage of the material of the layer
at the points lying along the central ray has been examined.