Inverse Approach of Parameter Optimization for Nonlinear Meta-Model Using Finite Element Simulation
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 s...
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| Format: | Article |
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MDPI AG
2021-12-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/11/24/12026 |
| _version_ | 1827674264484970496 |
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| author | Seungpyo Hong Dongseok Shin Euysik Jeon |
| author_facet | Seungpyo Hong Dongseok Shin Euysik Jeon |
| author_sort | Seungpyo Hong |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T04:37:06Z |
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| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T04:37:06Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
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| spelling | doaj.art-dd04eb318ab9428b88c8c76a0209d2522023-11-23T03:42:02ZengMDPI AGApplied Sciences2076-34172021-12-0111241202610.3390/app112412026Inverse Approach of Parameter Optimization for Nonlinear Meta-Model Using Finite Element SimulationSeungpyo Hong0Dongseok Shin1Euysik Jeon2Graduate School of Future Convergence Engineering, Kongju National University, Cheonan-si 31080, KoreaGraduate School of Mechanical Engineering, Kongju National University, Cheonan-si 31080, KoreaGraduate School of Future Convergence Engineering, Kongju National University, Cheonan-si 31080, KoreaAccurate 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.https://www.mdpi.com/2076-3417/11/24/12026inverse methodmeta-modelcurve fittingstress–strain curvelarge strain |
| spellingShingle | Seungpyo Hong Dongseok Shin Euysik Jeon Inverse Approach of Parameter Optimization for Nonlinear Meta-Model Using Finite Element Simulation Applied Sciences inverse method meta-model curve fitting stress–strain curve large strain |
| title | Inverse Approach of Parameter Optimization for Nonlinear Meta-Model Using Finite Element Simulation |
| title_full | Inverse Approach of Parameter Optimization for Nonlinear Meta-Model Using Finite Element Simulation |
| title_fullStr | Inverse Approach of Parameter Optimization for Nonlinear Meta-Model Using Finite Element Simulation |
| title_full_unstemmed | Inverse Approach of Parameter Optimization for Nonlinear Meta-Model Using Finite Element Simulation |
| title_short | Inverse Approach of Parameter Optimization for Nonlinear Meta-Model Using Finite Element Simulation |
| title_sort | inverse approach of parameter optimization for nonlinear meta model using finite element simulation |
| topic | inverse method meta-model curve fitting stress–strain curve large strain |
| url | https://www.mdpi.com/2076-3417/11/24/12026 |
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