IDENTIFICATION OF ELASTIC-CONSTANTS OF ALLOYS WITH SHEET AND FIBER TEXTURES BASED ON RESONANCE MEASUREMENTS AND FINITE-ELEMENT ANALYSIS

This paper presents a method for identifying the elastic constants of alloys of cubic crystal structure with sheet and fibre textures. It is based on conventional resonance measurements and finite element (FE) analysis. It includes a non-linear optimizer, an FE program for solvin g eigenvalue equations in which the exact stress-strain constitutive l aw for orthorhombic or hexagonal symmetry is considered, and a frequen cy assignment algorithm based on the orthogonality of natural modes. T he identification strategy consists in the adjustment of the elastic c onstants in an optimization procedure by minimizing the differences be tween calculated and measured natural frequencies of several specimens . The determination of the elastic single-crystal constants from textu red material measurements is also discussed. The results of four pract ical applications to Ni-based alloys demonstrate the efficiency and th e economy of this method.