Effect of Distributed Dislocations on Large Deformations of Cylindrical Tube made of Micropolar Elastic Material

Abstract

AbstractThe generalized Lame problem for an elastic hollow circular cylinder at large deformations is considered. The cylinder is made of micropolar material and contains continuously distributed dislocations. The dislocation density tensor contains four nonzero components and describes the distribution of both screw and edge dislocations. Under the assumption that the material is isotropic, the problem is reduced to a system of nonlinear ordinary differential equations. For a special material model and an axisymmetric distribution of edge dislocations, an exact solution in an explicit analytical form is found.KeywordsNonlinear elasticityMicropolar mediumHollow circular cylinderScrew and edge dislocationsExact solution