TY - JOUR
T1 - A self-consistent approach for necking correction in tensile specimens with rectangular cross-section using a novel mirror fixture
AU - Yazzie, K. E.
AU - Fei, H.
AU - Jiang, Hanqing
AU - Chawla, Nikhilesh
N1 - Funding Information:
The authors are grateful for the financial support for this work from the National Science Foundation Division of Materials Research—Metals Division (Drs. Alan Ardell, Bruce MacDonald, and Harsh Chopra, Program Directors). The authors gratefully acknowledge the use of facilities within the Center for Solid State Science at Arizona State University.
PY - 2012/12
Y1 - 2012/12
N2 - True stress-true strain cannot be computed beyond necking, unless the effects of necking on the geometry of the tensile specimen and the stress state are accurately quantified. Necking produces a triaxial stress state that does not reflect the true uniaxial flow stress of the material. Therefore, the true stress must be multiplied by a correction factor to correct for the effect of the triaxial stresses and obtain the true uniaxial flow stress. While necking effects are easily quantified for specimens with circular cross-sections, specimens with rectangular cross-sections can exhibit complex necking geometry. In this paper, the necking behavior of pure Sn and Sn-3.5Ag-0.7Cu solders was studied to: (1) quantify necking geometry in rectangular specimens using a novel mirror fixture and a high speed camera during tests conducted at 10 -3 to 30 s-1, and (2) develop a self-consistent method of necking correction that incorporates strain rate effects and can be applied to many materials.
AB - True stress-true strain cannot be computed beyond necking, unless the effects of necking on the geometry of the tensile specimen and the stress state are accurately quantified. Necking produces a triaxial stress state that does not reflect the true uniaxial flow stress of the material. Therefore, the true stress must be multiplied by a correction factor to correct for the effect of the triaxial stresses and obtain the true uniaxial flow stress. While necking effects are easily quantified for specimens with circular cross-sections, specimens with rectangular cross-sections can exhibit complex necking geometry. In this paper, the necking behavior of pure Sn and Sn-3.5Ag-0.7Cu solders was studied to: (1) quantify necking geometry in rectangular specimens using a novel mirror fixture and a high speed camera during tests conducted at 10 -3 to 30 s-1, and (2) develop a self-consistent method of necking correction that incorporates strain rate effects and can be applied to many materials.
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U2 - 10.1007/s11661-012-1355-6
DO - 10.1007/s11661-012-1355-6
M3 - Article
AN - SCOPUS:84870432315
SN - 1073-5623
VL - 43
SP - 5058
EP - 5066
JO - Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science
JF - Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science
IS - 13
ER -