Determination of all elastic and plastic parameters for sheets of cubic metals only by uniaxial tension tests

• Most of sheet metals belong to orthorhombic aggregates of cubic crystallites.
• Some correlations between elasticity and plasticity of sheet metals must exist.
• We derive the computational expressions of determining all elastic and plastic parameters.
• We verify the correlations and the computational expressions.
• We determine the elasticity tensor and the general Hosford yield function only by uniaxial tension tests.

Most of sheet metals belong to orthorhombic aggregates of cubic crystallites. Since both the elasticity tensor and the yield function of sheet metals depend on the crystalline orientation distribution, some correlations between elasticity and plasticity must exist. Employing the correlations, herein we derive the computational expressions of determining all elastic and plastic parameters in the elasticity tensor and the general Hosford yield function only by the data of uniaxial tension tests. By the elastic FEM numerical simulations and the plastic Taylor-Bishop-Hill model's numerical simulations, we verify the correlations and the computational expressions, and compare the general Hosford yield function with the Hill quadratic yield function and the Hill 1990 yield function. The main goal of this paper is to give a method of determining all the elastic and plastic parameters in the elasticity tensor and the general Hosford yield function only by uniaxial tension tests.