Finite Element Method (FEM) Calculations of Stress-Strain behavior of alpha-beta Ti-Mn alloys: Part II. Stress and strain distributions

Abstract

The stress and strain distributions of Ti-Mn alloys have been calculated as a function of strain, volume fraction of phases, and, in one instance, as a function of particle size. Near the interface, strains in β are higher than they are away from the interface. In α the strains are lower near the interface than they are away from the interface. Stresses have the same behavior as the strains. The average strain in α is higher than the average strain in β. The ratio of the strain in α, εα, to the strain in β, εβ is minimum, for a given strain, near 50 vol pct of β• εα/εβ increases with strain up to two pct the limit of total strain examined. Direct experimental measurements with 12 μm square Al grid have confirmed calculations for three alloys,εα/εβ decreases with decreasing particle size, and uniformity of strain increases with decreasing particle size.