Abstract
Damage models, particularly the Gurson–Tvergaard–Needleman (GTN) model, are widely used in numerical simulation of material deformations. Each damage model has some constants which must be identified for each material. The direct identification methods are costly and time consuming. In the current work, a combination of experimental, numerical simulation and optimization were used to determine the constants. Quasi-static and dynamic tests were carried out on notched specimens. The experimental profiles of the specimens were used to determine the constants. The constants of GTN damage model were identified through the proposed method and using the results of quasi-static tests. Numerical simulation of the dynamic test was performed utilizing the constants obtained from quasi-static experiments. The results showed a high precision in predicting the specimen’s profile in the dynamic testing. The sensitivity analysis was performed on the constants of GTN model to validate the proposed method. Finally, the experiments were simulated using the Johnson–Cook (J–C) damage model and the results were compared to those obtained from GTN damage model.
Highlights
Today, the finite element codes have substituted expensive and tedious experiments for mechanical characterization of materials
The computations continue until some geometrical parameters such as the final profile of the specimen predicted by numerical simulation converges to that obtained from an experiment such as tensile test
The constants are used for simulation of dynamic test
Summary
The finite element codes have substituted expensive and tedious experiments for mechanical characterization of materials. The accuracy of material damage and material models plays an important role in the performance of the codes. All models involve a number of constants which must normally be determined by experiment. The accuracy of the models obviously depends on the accuracy of the constants. Various damage models can be found in the literature. Some of the most important models are briefly described
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