Integral representation of the solution to the nonstationary Lamb problem in the case of a limiting Poisson ratio (Q2131370)

The authors study the nonstationary Lamb problem for an elastic half-space in the case when Poisson's ratio takes a limiting value. In the axially symmetric case, the solution is represented in the form of a repeated improper integral. The inner integral over the vertical line in the complex plane is reduced to a sum of residues and a sum of several integrals of a real variable. An estimate of the solution is obtained for large values of polar radius.