ANTIPLANE DEFORMATION OF AN ELASTIC WEDGE UNDER ACTION CONCENTRATED NEAR THE CORNER POINT

The asymptotic behaviour of the remote field in a wedge under static a nd dynamic loading in the neighbourhood of the vertex is studied. It i s shown that, unlike the well-known Carothers' paradox, neither the so lution of the static nor the dynamic problem satisfy St Venant's princ iple for any wedge angle. The solution of the dynamic problem for a ha rmonic action is constructed using Sommerfeld's integrals. It is shown that the asymptotic behaviour of the solution in a remote zone is not of St Venant type, ie. the corresponding coefficient of the leading t erm of the asymptotic expansion is equal to a ''fractional'' moment of the external forces.