Exact solutions for large elastoplastic deformations of a thick-walled tube under internal pressure
The authors study the exact solution for large elastoplastic deformation of a thick walled tube under internal pressure, using a rate-independent plasticity theory based on the concept of dual variables and dual derivatives. Application of this theory to the problem of thick walled tube under internal pressure leads to a system of partial differential equations of hyperbolic type. Since the solutions of such boundary value problems exist and are unique, the authors obtain the solution by means of an extrapolation technique. This integration method turns out to be applicable to a rather general hardening models of rate-independent plasticity. This work is quite interesting and may be very useful for researchers working in the area of plasticity.
scientific article; zbMATH DE number 754634