Elastic properties of Al2O3–NiAl: a modified version of Hashin–Shtrikman bounds

• DOI: 10.1007/s00161-012-0237-x
• Publication Date: 2012-03-14T13:07:14Z
• Authors: Anupama Upadhyay; R. S. Beniwal; Ramvir Singh
• Keywords: 0101 mathematics; 01 natural sciences

The modified nonlinear relations for the estimation of elastic constants of Al2O3–NiAl composite material are developed. The concept of microstructure and interconnectivity of phases at the interface is used. Hashin–Shtrikman relations are described in their actual form and modified version of Hashin–Shtrikman relations for bulk and shear moduli are discussed. These relations for elastic and mechanical properties are applied mainly for Al2O3–NiAl composite material. Theoretical predictions using modified relations are compared with Hashin–Shtrikman bounds and experimental results of elastic properties for Al2O3–NiAl matrix-inclusion-based composite. It is found that the predicted values of elastic and mechanical properties using modified relations are quite close to the experimental results.