Asymptotic methods in the axisymmetric dynamic non-stationary contact problem for an elastic half-space (Q2761266)

The authors consider a dynamical nonstationary contact problem on intrusion of a liquid punch with radius \(a\) \(\,(r\leq a)\,\) into the elastic half-space \(\,(z\geq 0\), \(\,0\leq r<\infty)\). It is assumed that the friction forces between the punch and the half-space are not taken into account. The punch form and its settlement on the half-space are specified by the function \(f(r,t)\) \(\,(0\leq r\leq a\), \(\,t\geq 0)\). The contact problem is reduced to solution of the integral equation with respect to the unknown Laplace transform for the contact stresses under the punch. The solution of the contact problem is obtained by means of the inverse Laplace transform.