金属板材拉深制耳形状与各向异性系数的解析关系模型

The quantitative analytical relationship between the ear profile and the distribution of the anisotropic coefficient of sheet blank in plane was established, including the location and number of the ears. The sheets which satisfy the Hill48 anisotropic constitutive model were analyzed, and the specific position and number of ears during deep drawing were given. The results show that when the difference of yield strength in plane is ignored, for the sheet with orthotropy, the radial strain in an angle to the rolling direction is determined by the anisotropy coefficient value in the direction of complementary angle of this angle. The radial strain in the direction of this angle increases monotonically with the increase of anisotropy coefficient value in the direction of complementary angle of this angle. When the anisotropy coefficient value in the direction of complementary angle of this angle reaches the maximum, ear peak is formed for the radial strain in the direction of this angle is the maximum. On the contrary, when the anisotropy coefficient value in the direction of complementary angle of this angle is the minimum, ear valley is formed for the radial strain is the minimum in the direction of this angle. The number of ear is the same as that of the maximum value of anisotropy coefficient in plane of sheet blank, and the location of each ear peak is in the direction of the complementary angle of the angle where the maximum anisotropy coefficient value appears.