The Chaboche hardening rule: A re-evaluation of calibration procedures and a modified rule with an evolving material parameter

Numerical and experimental study of ratcheting in cold expanded plate ofAl‐alloy 2024‐T3 in double shear lap joints

“…However, the observed strain ratcheting after 100 cycles of loading was not significant, so the strain ratcheting curves were only presented for 150 early cycles to have a better figure appearance. It is obvious that the strain ratcheting increases rapidly in the initial cycles while the strain ratcheting rate decreases rapidly with increasing of the load cycle number, which was illustrated for different materials by many researchers . After the 100th cycle the strain ratcheting rate remains nearly unchanged, and the strain ratcheting increases gradually.…”

“…It is obvious that the strain ratcheting increases rapidly in the initial cycles while the strain ratcheting rate decreases rapidly with increasing of the load cycle number, which was illustrated for different materials by many researchers. 24,51,52 After the 100th cycle the strain ratcheting rate remains nearly unchanged, and the strain ratcheting increases gradually.…”

Prediction of asymmetric cyclic‐plastic behaviour for cyclically stable non‐ferrous materials

“…A number of investigations to simulate the ratcheting behaviour of ferrous CS materials exist in the literature; however, attempts to predict the response of non‐ferrous materials exhibiting CS behaviour are few. Most of the constitutive models to predict the ratcheting response of CS materials consider only KH models for ferrous materials, though a number of investigators have suggested case‐to‐case basis modification to the hardening model to obtain a better fit to the experimental ratcheting behaviour. However, the cyclic‐plastic behaviour of non‐ferrous CS materials has been predicted by using combined isotropic‐kinematic hardening models but have often considered a different magnitude of yield stress to that observed from the monotonic tensile curves .…”

“…However, for cyclically stable materials (where there is small variation in amplitude of stress with cycles under strain‐controlled cycling), constitutive models usually incorporate only KH to simulate the cyclic‐plastic behaviour . Various empirical modifications have been introduced (for case‐to‐case basis) in the KH components to achieve improved agreement with the experimental results related to ratcheting behaviour for different cyclically stable (CS) materials. The necessity of these modifications in the hardening models probably has arisen because of the neglect of the IH in the constitutive modelling.…”

“…Simulation of the shakedown phenomenon considering combined hardening models typically demands the use of linear hardening rule in the KH component . But the earlier investigators have dealt with this problem by incorporating a small amount of nonlinearity in the third backstress of the KH component in the original Chaboche model to achieve simulations for the stabilized rate of ratcheting. This approach would require different sets of CIKH model parameters to simulate the constant rate of ratcheting and shakedown phenomena, but the obtained hardening parameters would not be generalized one.…”