The paper deals with a two-dimensional problem of time-dependent elasticity theory,
examining waves generated on the top layer interface by the source of normal stresses applied to
the top layer interface. Here the lower layer interface is free of stresses. The use is made of integral
transformations to relate displacement transforms with stresses on the top layer interface.
Exponent power series expansion is obtained for the transform of vertical displacements.
Analytical approach to each member of the series ensures a precise solution of the problem.
Displacement field vs. time dependence on the layer interface has been calculated. The findings
are referred to in the process of ultrasound controlling the layer by finite size sensors.
Keywords: stress; deformation; strengthened layer; surfacing; ultrasound waves.
full paper (pdf, 912 Kb)