New constitutive relationship for TC11 alloy

Arrhenius' equations, usually needed for finding constitutive relationship, are no longer satisfactory when materials are difficult to deform, such as titanium alloys and superalloys. This paper presents a method which uses the polynome of Zener-Hollomon parameter and is applicable to difficult-to-deform materials. Constitutive relationship is empirically found from test data. Such a relationship was obtained for TC11 alloy as polynome of Zener-Hollomon parameter from test data. The test specimens are cylinders of TC11 alloy 8 mm in diameter and 12 mm in length, cut from the same rod of TC11 alloy made by Baoji Non-Ferrous Metal Works. The results show that the equivalent strain exerts an influence on the shape of flow stress-equivalent strain curve, and the temperature exerts stong influence on both the shape of flow stress-equivalent strain curve and the magnitude of flow stress.