Study On The Single Crystal Constitutive Model Concerning Anisotropic Harden Effect

In the last two decades, lots of experimental and theoretic research on the hardening behavior and flow characteristics of metallic materials under cyclic loading have been done. The cyclic constitutive models have advanced significantly. We should do more deep and comprehensive research concerning the anisotropic hardening due to cyclic loading behavior, and then develop a constitutive model which can simulate them more accurately. This research has theoretical significance for design and application value for engineering projects.In order to carry out an in-depth research on the strain-controlled cyclic behavior for cyclic hardening material and develop a constitutive model which can simulate them more accurately, a new constitutive model was developed based on the Walker's viscoplastic constitutive theory, which can describe the hardening and strain-controlled cyclic behavior uniformly. In this model, a matrix related to the interactions of single crystal slip systems is incorporated into Walker's viscoplastic constitutive equations. The proposed model is verified by simulating the stress responses of PWA 1480 in <001>,<011>and<111> direction, and at different temperature. It is shown that the introduction of the interaction matrix can accurately describe cyclic hardening, and the plastic deformation.