Modelling of the Residual Stresses (Order I and II) in Metallic Parts by Finite Elements with the Self-consistent Constitutive Law

Article type: Research Article

Authors: Zattarin, P. | Lipinski, P.

Affiliations: Ecole Nationale d’Ingénieurs de Metz (E.N.I.M.), Laboratoire de Physique et Mécanique des Matériaux (LPMM) UMR CNRS 7554, ISGMP-lle de Saulcy-57045 Metz cedex, France

Note: [] Corresponding author, LPMM, ISGMP, Ile du Saulcy, 57045 Metz Cedex, France. Tel: 33 (0) 387 457 015. Fax: 33 (0) 387 315 366. E-mail: [email protected]

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.

Keywords: Polycrystalline materials, Residual stresses, Yield surface, Finite elements

DOI: 10.1080/10238160108200135

Journal: Journal of Neutron Research, vol. 9, no. 2-4, pp. 137-141, 2001