Modelling of the residual stresses (order I and II) in metallic parts by finite elements with the self-consistent constitutive law

Abstract

Macroscopic behaviour of metallic parts is directly linked to the microstructural state evolution. Classical finite elements including phenomenological constitutive laws are nevertheless very efficient to predict behaviour. However, these models are not adapted to predict important distortion of the yield surface during a complex loading. In fact, microstructural variables have an essential role on yield surface evolution, as crystallographic textures and in particular internal (second order) stress field. On the basis of a crystallographic approach, the self-consistent model used to take into account the microstructural evolution. So this scheme is able to predict yield surface evolution and one can note a good agreement on comparison with the experimental data. The self-consistent scheme is to introduce a finite element code then it enables to predict second order residual stresses in a complex metallic part. These second order stresses is visualised through stored energy.

Key Words:

• Polycrystalline materials
• Residual stresses
• Yield surface
• Finite elements