Application of kinematic hardening and ductile plastic damage models in analysis of a thin pressure vessel under thermal and mechanical loadings

The kinematic hardening theory of plasticity based on the Prager model and incremental isotropic damage is used to evaluate the cyclic loading behavior of a thin tube under the internal pressure load. This allows damage to be path dependent. The damage and inelastic deformation are incorporated and they are used for the analysis of the thin tube. The tube material is assumed to follow linear strain hardening property coupled with isotropic damage. The material strain hardening curves in tension and compression are assumed to be both identical for the isotropic material. Computational aspects of rate independent model is discussed and the constitutive equation of the rate independent plasticity coupled with the damage model are decomposed into the elastic, plastic and damage parts. Return Mapping Algorithm method is used for the correction of the elastoplastic state and for the damage model the algorithm is used according to the governed damage constitutive relation. The effect of the damage phenomenon coupled with the elastoplastic kinematic hardening is studied for deformation and load control loadings.

کلیدواژه ها:

Linear kinematic hardening ، thin tube ، continuum damage ، cyclic loading