Cruciform tension-shear test for sheet metal: Evaluation of methods for calculating plastic work

Abstract The tensile-shear test specimen devised by Kim et al. (Kim M, Ha J, Bonica S and Korkolis YP 2021 Proc. 13th Int. Conf. Technol. Plast. pp. 1961-1967) is used to evaluate methods for calculating the plastic work per unit volume of a metal sheet subjected to combined tension and shear. The deformation of the tensile-shear specimen is analysed using finite element analysis (FEA). In tension-shear deformation, a material element undergoes rigid body rotation as well as in-plane deformation. Therefore, methods for calculating the stress components and the incremental strain components with respect to the material coordinate system and the spatial coordinate system are discussed. It is confirmed that the plastic work per unit volume does not depend on the coordinate system adopted in the calculation as long as the same coordinate system is used to evaluate the stress components and strain increment components.