Stress-strain Relation of Brass for the Plastic Deformation along Bi-linear Strain Trajectories with Various Corner Angles

Abstract

Stress-strain relation of brass for the plastic deformation along bi-linear strain trajectories with various corner angles are expressed in a form of vector equation satisfying Ilyushin's special postulate of isotropy, with the use of Valanis' intrinsic time scale. A matrix of influence function is introduced for expressing clearly the history effects between the deformations before and after the corner point, and especially the coupling functions in the matrix are estimated according to experimental results. The stress-strain relations herein obtained are found to approximate with high accuracy the variations of stress components accompanying the increase of strain intensity after the corner of strain trajectory.