An Inverse Identification Procedure for the Evaluation of Equivalent Loading Conditions for Simplified Numerical Models in Abaqus

Abstract

In the finite element simulation process, it is very common to use simplified models to replace the original complex models to reduce the computational cost. To improve the accuracy of simulation with simplified numerical models in Abaqus Explicit, we propose an inverse identification procedure to evaluate the equivalent loading conditions to be applied to these simplified models. We construct an objective function to test the correlation between the final deformed shape obtained by simulation on the full models and the simplified models. A Python identification program using the Levenberg–Marquardt algorithm is implemented to optimize this objective function. In parallel to this approach, we propose a data processing step, validated by a dynamic tensile test, to obtain more accurate numerical responses, including data extraction and estimation. Full numerical models for the Taylor test, dynamic tensile test, and dynamic shear test were constructed using Abaqus Explicit FEM code. The complete models were then replaced by simplified models, in which some non-essential parts were removed and some boundary conditions were modified. In order to obtain the same results in terms of the final geometry, the proposed inverse identification procedure is then used to calculate the equivalent impact velocities for the simplified models.