Determination of the Macroscopic Elastic Constants of a Phase Embedded in a Multiphase Polycrystal-Application to the β-Phase of a Ti-17 Titanium Based Alloy

Sylvain Fréour (1) , David Gloaguen (1) , Manuel François (2) , Ronald Guillen (1) , Emmanuel Girard (1) , J. Bouillo (3)

1 GeM - Institut de Recherche en Génie Civil et Mécanique
2 LASMIS - Laboratoire des Systèmes Mécaniques et d'Ingénierie Simultanée
3 IUT Saint-Nazaire - Institut Universitaire de Technologie Saint-Nazaire

A one-site elastic self-consistent model from the mathematical formalism introduced by Kröner and Eshelby (KE) has been developed in order to solve the case of multiphase materials. This model has been applied to duplex steels and aluminium - silicium carbide Metal Matrix Composites (MMC) in the aim to study the evolution of their stiffness at pseudomacroscopic scale. Simulations justify the usually implicit hypothesis of the identity of the elastic moduli of a given phase, at macroscopic and pseudomacroscopic scales. The implementation of KE model by this hypothesis yields a new implicit formulation for the stiffness of a given unknown phase embedded in a two-phases material. This original characterization method will be applied to the β-phase of Ti-17 alloy. The singular behaviour in terms of residual pseudomacrostress of each phase after uniaxial loadings will be deduced from these data.

Mots clés: Ti-17; two-phases materials; residual stresses; self-consistent models; elastic constants

Domaines: Mécanique [physics.med-ph]; Matériaux

Sylvain Fréour, David Gloaguen, Manuel François, Ronald Guillen, Emmanuel Girard, et al.. Determination of the Macroscopic Elastic Constants of a Phase Embedded in a Multiphase Polycrystal-Application to the β-Phase of a Ti-17 Titanium Based Alloy. Materials Science Forum, 2002, 404-407, pp.723-728. ⟨10.4028/www.scientific.net/MSF.404-407.723⟩. ⟨hal-01006729⟩