Elastic Constitutive Relationship of Metallic Materials Containing Grain Shape

The grain shape and orientation distribution of metal sheets at mesoscales are usually irregular, which has an impact on the elastic properties materials. A function (GSF) is constructed to represent grains. expansion coefficient GSF basis Wigner D called coefficient. In this paper, we study influence average constitutive relation orthogonal polycrystalline materials, obtain a new expression materials containing effects. seven string method proposed fit irregular Experiments show that can better describe Using microscopic images grains, carried out experimental measurement micro macrostrain scale. results parameter (slenderness ratio) consistent with theoretical material macroscopic mechanical properties.