Elastic Shakedown Domain in an Axisymmetrical Structure Subjected to a Cyclic Thermal and Mechanical Loading - Comparison between an Incremental Model and a Simplified Method

The aim of this work is to evaluate and to compare the elastic shakedown domain obtained by two different approaches, an incremental simulation realised with an elastoplastic constitutive law and a simplified method, in an axisymmetrical structure subjected to a cyclic thermal and mechanical loading. The elastoplastic model has been developed by Electricité De France and implemented in the Finit Element EDF software Code_Aster. This model allows to describe the ratchetting, the elastic and plastic shakedown. It uses a ratchetting stress and a semi-discret variable. The simplified method proposed by Zarka and Casier is based on the linear kinematic hardening and gives an approximation of the limit state in a structure subjected to a periodic loading.