GREENS TENSOR FOR AN ELASTIC CYLINDER AND ITS APPLICATIONS IN THE DEVELOPMENT OF THE SAINT-VENANT THEORY

Using earlier results [1, 2], Green's tensor for an elastic cylinder i s constructed. This enables the case of multiple eigenvalues to be con sidered. The static problem receives special attention Green's tensor for an infinite cylinder is constructed as an expansion in terms of el ementary solutions. For a cylinder of finite length the construction o f Green's tensor can be reduced to an infinite system. An asymptotic a nalysis of the classical Saint-Venant problems is carried out. The not ions of the vector-valued Green's function and Green's tensor are intr oduced into the Saint-Venant theory and they are constructed in explic it form. (C) 1996 Elsevier Science Ltd.