Evaluation of Simple Shear Test Geometries for Constitutive Characterization using Virtual Experiments

Abstract

In-plane simple shear tests have become commonplace in the fracture characterization of automotive sheet metals but have received less attention for constitutive characterization. Unlike tensile tests, simple shear tests do not have any tensile instability and remain in a state of plane stress until fracture. From plastic work equivalence, an isotropic hardening model can be readily constructed from the tensile and shear test data without inverse finite-element analysis. The success of the methodology hinges upon the shear specimen geometry and how the local strains in the gage region are measured using digital image correlation (DIC). In this study, finite-element simulations of seven shear test geometries were evaluated for an isotropic material in a series of virtual experiments by varying the input hardening response. The data from the simulations was extracted from the surface as if DIC was employed and used to determine the hardening behavior in comparison with the exact solution. Shear geometries without a notch eccentricity in the gage region appear to be best suited for characterizing low hardening materials with an error of less than 1% in the stress response for an n-value of 0.02. Conversely, for higher hardening materials corresponding to an n-value of 0.20 or greater, the geometries with a notch eccentricity performed best.

Discussion on the Application of Virtual Reality Technology in Pharmacy Vocational Education

“…Relatively speaking, the cost of the former is lower, and users can operate the system by downloading the system on the network. The latter requires not only a computer, but also a wearable device, which is costly for college teaching [3].…”

Experimental and Numerical Fracture Characterization of DP1180 Steel in Combined Simple Shear and Uniaxial Tension

“…Examples include the conical hole expansion and hole tension tests for uniaxial tension [6][7][8], the VDA238-100 v-bend and dihedral punch tests for plane strain tension [9,10], and miniature biaxial punch tests [11,12]. Fracture characterization in simple shear has been challenging due to its high fracture strains and propensity for premature edge cracking in tension [13]. Roth and Mohr [14] developed optimized shear test geometries to minimize the potential for edge cracking.…”

A uniform method for the characterization of shear fracture strain for high-strength steel sheets under quasi-static and crash loading

“…Nevertheless, it is still a challenge to avoid failure initiation in the notch region and to provide shear failure. In literature exists a consensus to design the geometry of the shear zone dependent on the material behavior, especially the hardening behavior, to reduce previous notch failure and to evaluate reliable shear failure strains [6,10,11]. Shear specimen geometries for the characterization of fracture initiation has to be clearly distinguished to the characterization of yield initiation [12].…”