Calibration of a Plasticity Model under Biaxial Loading Utilizing a Measured Field of Equivalent Plastic Strain and an Existing Closed-Form Solution
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Mapping the induced plastic anisotropy of the field of equivalent plastic strain in stress space using a series of radial probes offers a comprehensive insight into the phenomena related to yield surface distortion. Rather than using a new specimen for each probe, a novel approach based on a small number of specimens and a plastic reset between probes greatly reduces the cost of such an investigation. With this method, two distinct directions of anisotropy were observed following a more complex loading history. A constitutive model of metal plasticity with an advanced kinematic hardening rule is initially calibrated using a closed-form solution and is further numerically refined using data from a series of experiments, including measurements of the induced plastic strain field. The work evaluates options for addressing such phenomena through directional yield surface distortion and through a direction-dependent factor that modifies the hardening rate of individual backstress components with respect to plastic strain.
