A Hashin–Shtrikman–Willis variational principle is employed to derive two exact micromechanics-based nonlocal constitutive equations relating ensemble averages of stress and strain for two-phase, and also many types of multi-phase, random linear elastic composite materials. By exact is meant that the constitutive equations employ the complete spatially-varying ensemble-average strain 6eld, not ...

The hot deformation of TA15 titanium alloy was studied by the compression test on Gleeble-3800 thermal simulation equipment. true stress-strain curves at temperature 1123-1223K and strain rate 0.001-1s -1 were obtained.. results show that flow stress increases with decreasing temperature, as increases. And process is accompanied work hardening dynamic recovery recrystallization. Based alloy, Ar...