Initial Value Treatment for Torsion of an Elastic Layer

An initial value treatment is presented for a mixed boundary value problem of axisymmetric torsion of an elastic layer. The problem is expressed in terms of dual integral equations which are first reduced to a Fredholm integral equation of second kind with a continuous kernel. An initial value problem is derived for this Fredholm integral equation using invariant imbedding. This constitutes a new analytical approach to a large class of torsion problems.