Meaning
Phenomenological yield criteria are used to model the anisotropic plastic behavior of sheet metals under plane stress conditions. The non-quadratic formulation known as barlat yld2000 provides high accuracy when simulating the forming behavior of aluminum and steel alloys. Eight independent anisotropy parameters are incorporated in the mathematical formulation to capture the directional variation of yield stress and plastic strain ratios.
Industrial designers use this mathematical description to predict ear formation and localized thinning during forming simulations.
Yield Criterion
Anisotropic yielding behaviour is calculated using two linear transformations of the stress tensor. This formulation ensures a smooth and convex yield surface, which is essential for stable numerical convergence. It represents a major improvement over classic yield criteria by decoupling the directional stresses and strain rates.
Parameter Identification
Mechanical tests on sheet samples at various orientations are required to calibrate the coefficients of the model. These tests include uniaxial tension along different axes and balanced biaxial tension tests. A minimization algorithm fits the calculated values to the experimental results to determine the optimal set of parameters.
Numerical Simulation
Finite element analysis utilizes this yield model to prevent defect generation in complex sheet metal stampings. Reliable prediction of localized necking reduces the trial-and-error time during tool design. Implementing this model minimizes material waste and ensures high structural integrity in the final formed components.