Finite Element Method (FEM) Calculations of Stress-Strain Behavior of Alpha-Beta Ti-Mn Alloys: Part I. Stress-Strain Relations

By use of a NASTRAN18 Computer Program, the Finite Element Method (FEM) has been employed to calculate the effect of particle size, matrix, and volume fraction on the stress-strain relations of α-β titanium alloys. It was found that for a given volume fraction, the calculated stress-strain curve was higher for a finer particle size than for a coarse particle size within the range of the strains considered, and this behavior was seen for all the different volume fraction alloys considered. For a 50:50 vol pct α-β alloy, the stress-strain curve withβ, the stronger phase, as the matrix was higher than that with α, the softer phase, as the matrix. The calculated stress-strain curves for four different vol pct α alloys were compared with their corresponding experimental curves, and in general, good agreement was found. Whenever there were discrepancies, they were discussed by comparing the morphology of the mesh used in the calculations with the morphology of the actual materials.

[1]  R. G. Davies.  The deformation behavior of a vanadium-strengthened dual phase steel , 1978 .

[2]  I. Tamura,et al.  On the Tensile Deformation Behaviour of Two-Phase Iron Alloys , 1975 .

[3]  G. Lindén.  Influence of microstructure on the stress-strain behaviour of two-phase copper-rich CuAl alloys , 1979 .

[4]  Y. Mahajan,et al.  Surface cracking in α- β titanium alloys under unidirectional loading , 1978 .

[5]  H. Margolin,et al.  Beta and alpha grain sizes in α-β Ti-Mn alloys , 1977 .

[6]  H. Margolin,et al.  Calculations of stress-strain curve and stress and strain distributions for an α-β Ti8Mn alloy , 1978 .

[7]  Imao Tamura,et al.  Tensile deformation of two-ductile-phase alloys: Flow curves of α-γ FeCrNi alloys , 1976 .

[8]  Y. Yamaoka,et al.  On the Strength and Ductility of Two-phase Iron Alloys , 1973 .

[9]  J. Williams,et al.  Observations of an interface phase in the α/β boundaries in titanium alloys , 1975 .

[10]  O. Zienkiewicz.  The Finite Element Method In Engineering Science , 1971 .

[11]  Harold Margolin,et al.  Polycrystalline strengtheningDurcissement de polycristauxVerfestigung im polykristallinen material , 1975 .

[12]  S. Mileiko.  The tensile strength and ductility of continuous fibre composites , 1969 .

[13]  P. Hazzledine,et al.  A fiducial grid for high-resolution metallography , 1976 .

[14]  Choongsoo Kim,et al.  Final Report for Office of Naval Research Contract N00014-76-C-0782. Volume II, , 1979 .

[15]  H. Margolin,et al.  The interface phase in alpha-beta titanium alloys , 1977 .

[16]  R. B. Thompson,et al.  A Theory for the mechanical properties of metal-matrix composites at ultimate loading , 1973 .

[17]  A. K. Vasudevan,et al.  Rolling deformation of two-ductile-phase AgNi alloys , 1978 .

[18]  B. Karlsson,et al.  Inhomogeneity in plastic deformation of two-phase steels , 1974 .