| Title |
Finite Element Analysis for Instability and Necking Behaviour of Tensile Specimens |
| Authors |
김형섭(Hyoung Seop Kim); 김성호(Sung Ho Kim); 류우석(Woo Seog Ryu) |
| ISSN |
1738-8228(ISSN), 2288-8241(eISSN) |
| Keywords |
Tensile test; Finite element method; Instability; Necking; Strain hardening |
| Abstract |
A tensile test is the most widely used mechanical property testing method to measure inherent material behaviour including full flow curves as well as Young`s modulus, yield strength, tensile strength and elongation. In the present study, tensile deformation and necking behaviour was investigated using the finite element method code MSC.MARC and the plasticity instability theory. It is shown that the finite element analysis for the tensile test of cylindrical samples can reproduce necking instability by applying a radial constraint at the loading points without assuming initial imperfections. The predicted finite element results compared to the Hart`s instability criterion shows that the Hart`s analytical solution overestimates necking strains a little in strain hardening materials. The finite element analysis of tensile tests with the geometric constraint is useful for interpreting deformation and developing new materials in that it can successfully reproduce not only uniform elongation and necking initiation but also post necking behaviour. |