An Investigation into the Origin and Nature of the Slope and x-axis Intercept of the Shear Punch-Tensile Yield Strength Correlation using Finite Element Analysis

Abstract

Recent studies have shown that for a variety of unirradiated and irradiated materials, a slope of ∼2 is obtained for a correlation between yield in a shear punch test and yield in a uniaxial tensile test. Application of the von Mises yield criterion would predict a slope of √3. A finite element model (FEM) of the shear punch test was developed to aid in understanding the experimentally obtained slope of ∼2. FEM simulations of the shear punch test were conducted using stress-strain data from uniaxial tensile tests on 316 stainless steel in four initial cold-work conditions. A correlation was developed between the FEM-evaluated effective shear yield strength and the experimentally-evaluated uniaxial yield strength. The slope from this correlation was found to be nearly the same as for the slope from the correlation between the experimentally-evaluated effective shear yield strength and the experimentally-evaluated uniaxial yield strength. The finite element model showed that stresses other than pure shear exist in a specimen during a shear punch test, and these other stresses may explain why the slope of the experimental yield strength correlation is different than √3.

Superplasticity of a nano-grained Mg–Gd–Y–Zr alloy processed by high-pressure torsion

“…The load, F, was measured automatically as a function of the punch displacement and the data were recorded by appropriate software to determine the shear stress, τ, on the tested material using the relationship [28] Dt…”

Finite element analysis of a shear punch test

“…The data obtained from an SPT can be used to predict the tensile yield and ultimate strengths. [1][2][3][4][5][6][7][8][9][10] A linear correlation between tensile and SPT shear strengths has been reported by several researchers. [4,[9][10][11][12][13] The SPT has been used for testing nuclear irradiated materials, [4,5] biomaterials, [6,7] and composites.…”

“…There is no standard procedure for determining the yield point in an SPT. Three procedures have been proposed by different investigators: (1) initial deviation from linearity along the elastic loading line, [1,2,3,5,6,7,9] which can be viewed as 0 pct strain offset, (2) 1 pct offset in the shear strain g, which was defined using the pure shear approximation [14] g 5 d c [2] where d 5 the punch displacement and the clearance c 5 the difference between the punch and die radii, and (3) 1 pct offset in the normalized displacement d/t. The normalized displacement procedure was proposed by us [10] to eliminate an effect of specimen thickness on the SPT curves; t vs d/t curves were found to be independent of the specimen thickness.…”

Dynamic shear punch behavior of tungsten fiber reinforced Zr-based bulk metallic glass matrix composites

“…The maxima shearing stresses are in the neutral axis, while the shearing stresses are zero at the top and bottom of the cross section. However, as shown by Hankin et al [40], the true multiaxial, non-uniform stress state in the shear zone is a relatively Fig. 3.…”

“…q is the distributed load, and D die is the diameter of the die. Actually, shear stress distributes uniformly in the shear zone has been suggested by many investigators, such as Hankin et al [40], Guduru et al [41], Goyal et al [42] and so on.…”