Second-order effects in the deformation of elastic bodies

Using tensor notation general equations are obtained for the solution of problems of finite elastic deformations by successive approximations. Attention is confined to second-order equations for both compressible and incompressible bodies, but further approximations may be obtained if required. The problem of the torsion of a solid of revolution of incompressible material is then considered, and differential equations for this problem are obtained from the general theory. The equations are solved for the special case of a cone.