A New Analytical Model of Necking Phenomenon
A finite element program based on elasto-plastic finite deformation theory is used to research the necking problem of titanium alloy. A new analytical model recommended in this paper is that an inclusion is first broken to form a void in the specimen, then neck is formed, void extendes and finally the specimen is broken. In the whole process the calculated and experimental nominal stress strain curves are coincided well. For the shape of neck a cubic curve is found more appropriate than the hyperbolic one.
KeywordsTitanium Alloy Stress Strain Curve Ultimate Strain Finite Element Program True Stress Strain Curve
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