Note on problem of spherical cavity in an isotropic, micropolar, elastic medium (Q1081335)

The problem of elastic motion generated by impulsive stress on the surface of a spherical cavity in an isotropic, elastic medium was first studied by Jeffreys (1931). The corresponding problem for a micropolar, elastic medium is examined here. It is seen that the problem of determining the displacement is essentially the same as that for an elastic medium. The problem of determining the micro-rotation is shown to depend on the solution of an initial, boundary value problem involving the Klein-Gordon equation. (Such a problem does not appear to have been treated in connection with the Klein-Gordon equation.) The solution is obtained and numerical results are exhibited for different values of the parameters. The results show interesting variations with changes in the values of the parameters.