A Numerical Study of the Applicability of the Shear Compression Specimen to Parabolic Hardening Materials

Abstract

This paper addresses quasi-static loading of the shear compression specimen (SCS), that has been especially developed to investigate the shear response of materials at various strain rates. Previous work [4, 5] addressed bi-linear hardening materials, whereas the present work concerns parabolic hardening materials. The investigation is done numerically using three-dimensional elastoplastic finite element simulations. The analyses show that the averaged von Mises stress ($\widehat{\sigma }_{{eq}}$) and strain ($\widehat{\varepsilon }_{{{\text{eq}}}}$) on a mid-section of the gauge reflect accurately the prescribed parabolic hardening model. A method for finding the parabolic hardening coefficients and reducing the measured load, P, and displacement, d, into equivalent stress $\widehat{\sigma }_{{eq}}$ and strain $\widehat{\varepsilon }_{{{\text{eq}}}}$ is introduced and tested. A very good agreement is observed, thus confirming the potential of the technique for large strain testing of parabolic hardening materials.