Integral Representation of the Solution to the Nonstationary Lamb Problem in the Case of a Limiting Poisson Ratioстатья
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Аннотация:The nonstationary Lamb problem for an elastic half-space with Poisson’s ratio taking a limiting value of 1/2 is considered. 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 the polar radius.