Identification of elastic constants of alloys with sheet and fibre 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 solving eigenvalue equations in which the exact stress-strain constitutive law for orthorhombic or hexagonal symmetry is considered, and a frequency assignment algorithm based on the orthogonality of natural modes. The identification strategy consists in the adjustment of the elastic constants in an optimization procedure by minimizing the differences between calculated and measured natural frequencies of several specimens. The determination of the elastic single-crystal constants from textured material measurements is also discussed. The results of four practical applications to Ni-based alloys demonstrate the efficiency and the economy of this method.