Abstract
Accurate and efficient estimation and prediction of the nonlinear behavior of materials during plastic working is a major issue in academic and industrial settings. Studies on property meta-models are being conducted to estimate and predict plastic working results. However, accurately representing strong nonlinear properties using power-law and exponential models, which are typical meta-models, is difficult. The combination meta-model can be used to solve this problem, but the possible number of parameters increases. This causes a cost problem when using FE simulation. In this study, the accuracy of the nonlinear properties of materials and the number of iterations were compared for three typical meta-models and the proposed advanced meta-models considering stress–strain properties. A material property test was conducted using ASTM E8/E8M, and the meta-model was initialized using ASTM E646 and MATLAB Curve Fitting Toolbox. A finite element (FE) simulation was conducted for the meta-models, and the test and simulation results were compared in terms of the engineering stress–strain curve and the root-mean-square error (RMSE). In addition, an inverse method was applied for the FE simulation to estimate the true stress–strain properties, and the results were analyzed in terms of the RMSE and the number of iterations and simulations. Finally, the need for an advanced meta-model that exhibits strong nonlinearity was suggested.
Highlights
The number of safety and environmental problems encountered in the construction and automotive industries is continuously increasing [1,2]
The finite element (FE) simulation was performed by LS-DYNA, and the error between the test result and the FE simulation result was represented by root-mean-square error (RMSE)
Models 6–8, which were used as advanced meta-models, showed lower RMSE values than Models 3–5, which were used as typical meta-models and as ASTM E646
Summary
The number of safety and environmental problems encountered in the construction and automotive industries is continuously increasing [1,2]. A typical method for identifying the nonlinear properties of materials is a tensile test, and tensile test results can be expressed using a force–displacement graph This graph is converted to an engineering stress–strain curve [5]. A modified meta-model such as a combination model can be considered to represent the nonlinear properties of high-strength, large-strain materials [23,24,25,26]. These meta-models are being researched to increase the order or term for representing nonlinear properties [27,28]. A meta-model that exhibits a higher accuracy with a smaller number of parameters than that used for the typical meta-models is required
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