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Aspects on the finite-element implementation of the Gurson model including parameter identification. (English) Zbl 0996.74076

Summary: We consider various aspects on the finite-element implementation of Gurson model. In particular, a linear representation for plastic potential is used, which shows superior convergence property in the local iteration procedure compared to the original quadratic representation. The formulation of the model is performed in a spatial configuration based on the multiplicative decomposition of deformation gradient, and for integration we use an exponential map scheme. A further important aspect is the sensitivity analysis consistent with the underlying integration scheme necessary for minimizing a least-squares functional for parameter identification by use of a gradient-based optimization algorithm. In a numerical example, we compare the local convergence behavior for the two versions of Gurson model, linear and quadratic. Furthermore, material parameters are determined by least-squares minimization based on experimental data obtained for an axisymmetric tensile bar of a ferritic steel.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74C99 Plastic materials, materials of stress-rate and internal-variable type
74R20 Anelastic fracture and damage
74P99 Optimization problems in solid mechanics
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