A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Closed form solutions for the dynamics of a pressurized elastoplastic thin-walled tube
Abstract This paper provides analytic solutions for the dynamics of a pressurized elastoplastic thin-walled tube at small strains. The closed-form expressions of the stress and displacement fields are derived within the framework of thin cylindrical shell theory. Three dynamic load-processes are considered: an the increasing-constant internal pressure, a rectangular and a triangular pulse loads. It is found that, depending on the external load function, the ductility limit of the solid may be reached and the displacement is unbounded. In this case, the structure collapses by plastic strain accumulation. However, if the ductility limit is not reached, plastic strains stabilize after a transient phase and the tube exhibits an elastodynamic response function. The analytical results are compared with numerical predictions derived by the standard Finite Element Method (FEM).
Highlights This work provides analytic solutions for the dynamics of a thin elastoplastic tube. The material obeys the von Mises criterion. Three dynamic load-process are considered. The analytical results are compared against numerical one derived by the FEM.
Closed form solutions for the dynamics of a pressurized elastoplastic thin-walled tube
Abstract This paper provides analytic solutions for the dynamics of a pressurized elastoplastic thin-walled tube at small strains. The closed-form expressions of the stress and displacement fields are derived within the framework of thin cylindrical shell theory. Three dynamic load-processes are considered: an the increasing-constant internal pressure, a rectangular and a triangular pulse loads. It is found that, depending on the external load function, the ductility limit of the solid may be reached and the displacement is unbounded. In this case, the structure collapses by plastic strain accumulation. However, if the ductility limit is not reached, plastic strains stabilize after a transient phase and the tube exhibits an elastodynamic response function. The analytical results are compared with numerical predictions derived by the standard Finite Element Method (FEM).
Highlights This work provides analytic solutions for the dynamics of a thin elastoplastic tube. The material obeys the von Mises criterion. Three dynamic load-process are considered. The analytical results are compared against numerical one derived by the FEM.
Closed form solutions for the dynamics of a pressurized elastoplastic thin-walled tube
Cao, X. (author) / Oueslati, A. (author) / Shirafkan, N. (author) / Bamer, F. (author) / Markert, B. (author) / de Saxcé, G. (author)
Thin-Walled Structures ; 174
2022-02-17
Article (Journal)
Electronic Resource
English
Exact solutions for large elastoplastic deformations of a thick-walled tube under internal pressure
| British Library Online Contents | 1995
Generalised beam theory-based finite elements for elastoplastic thin-walled metal members
| Online Contents | 2011