Effect of uncertainty of material parameters on stress triaxiality and Lode angle in finite elasto-plasticity—A variance-based global sensitivity analysis
This work establishes a computational framework for the quantification of the effect of uncertainty of material model parameters on extremal stress triaxiality and Lode angle values in plastically deformed devices, whereby stress triaxiality and Lode angle are accepted as key indicators for damage i...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-11-01
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| Series: | Advances in Industrial and Manufacturing Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S266691292300017X |
| _version_ | 1797615853585301504 |
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| author | M. Böddecker M.G.R. Faes A. Menzel M.A. Valdebenito |
| author_facet | M. Böddecker M.G.R. Faes A. Menzel M.A. Valdebenito |
| author_sort | M. Böddecker |
| collection | DOAJ |
| description | This work establishes a computational framework for the quantification of the effect of uncertainty of material model parameters on extremal stress triaxiality and Lode angle values in plastically deformed devices, whereby stress triaxiality and Lode angle are accepted as key indicators for damage initiation in metal forming processes. Attention is paid to components, the material response of which can be represented as elasto-plastic with proportional hardening as a prototype model, whereby the finite element method is used as a simulation approach generally suitable for complex geometries and loading conditions. Uncertainty about material parameters is characterized resorting to probability theory. The effects of material parameter uncertainty on stress triaxiality and Lode angle are quantified by means of a variance-based global sensitivity analysis. Such sensitivity analysis is most useful for apportioning the variance of the stress triaxiality and Lode angle to the uncertainty on material properties. The practical implementation of this sensitivity analysis is carried out resorting to a Gaussian process regression, Bayesian probabilistic integration and active learning in order to decrease the associated numerical costs. An example illustrates the proposed framework, revealing that parameters governing plasticity affect stress triaxiality and Lode angle the most. |
| first_indexed | 2024-03-11T07:32:52Z |
| format | Article |
| id | doaj.art-5b827dc2f49c4edb83de211f5049a9d8 |
| institution | Directory Open Access Journal |
| issn | 2666-9129 |
| language | English |
| last_indexed | 2024-03-11T07:32:52Z |
| publishDate | 2023-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Advances in Industrial and Manufacturing Engineering |
| spelling | doaj.art-5b827dc2f49c4edb83de211f5049a9d82023-11-17T05:28:31ZengElsevierAdvances in Industrial and Manufacturing Engineering2666-91292023-11-017100128Effect of uncertainty of material parameters on stress triaxiality and Lode angle in finite elasto-plasticity—A variance-based global sensitivity analysisM. Böddecker0M.G.R. Faes1A. Menzel2M.A. Valdebenito3TU Dortmund University, Institute of Mechanics, Leonhard-Euler-Str. 5, Dortmund, 44227, GermanyTU Dortmund University, Chair for Reliability Engineering, Leonhard-Euler-Str. 5, Dortmund, 44227, GermanyTU Dortmund University, Institute of Mechanics, Leonhard-Euler-Str. 5, Dortmund, 44227, Germany; Lund University, Division of Solid Mechanics, P.O. Box 118, Lund, SE-221 00, SwedenTU Dortmund University, Chair for Reliability Engineering, Leonhard-Euler-Str. 5, Dortmund, 44227, Germany; Corresponding author.This work establishes a computational framework for the quantification of the effect of uncertainty of material model parameters on extremal stress triaxiality and Lode angle values in plastically deformed devices, whereby stress triaxiality and Lode angle are accepted as key indicators for damage initiation in metal forming processes. Attention is paid to components, the material response of which can be represented as elasto-plastic with proportional hardening as a prototype model, whereby the finite element method is used as a simulation approach generally suitable for complex geometries and loading conditions. Uncertainty about material parameters is characterized resorting to probability theory. The effects of material parameter uncertainty on stress triaxiality and Lode angle are quantified by means of a variance-based global sensitivity analysis. Such sensitivity analysis is most useful for apportioning the variance of the stress triaxiality and Lode angle to the uncertainty on material properties. The practical implementation of this sensitivity analysis is carried out resorting to a Gaussian process regression, Bayesian probabilistic integration and active learning in order to decrease the associated numerical costs. An example illustrates the proposed framework, revealing that parameters governing plasticity affect stress triaxiality and Lode angle the most.http://www.sciencedirect.com/science/article/pii/S266691292300017XUncertaintyProbabilityFinite elementsMaterial parametersFinite elastoplasticityStress triaxiality |
| spellingShingle | M. Böddecker M.G.R. Faes A. Menzel M.A. Valdebenito Effect of uncertainty of material parameters on stress triaxiality and Lode angle in finite elasto-plasticity—A variance-based global sensitivity analysis Advances in Industrial and Manufacturing Engineering Uncertainty Probability Finite elements Material parameters Finite elastoplasticity Stress triaxiality |
| title | Effect of uncertainty of material parameters on stress triaxiality and Lode angle in finite elasto-plasticity—A variance-based global sensitivity analysis |
| title_full | Effect of uncertainty of material parameters on stress triaxiality and Lode angle in finite elasto-plasticity—A variance-based global sensitivity analysis |
| title_fullStr | Effect of uncertainty of material parameters on stress triaxiality and Lode angle in finite elasto-plasticity—A variance-based global sensitivity analysis |
| title_full_unstemmed | Effect of uncertainty of material parameters on stress triaxiality and Lode angle in finite elasto-plasticity—A variance-based global sensitivity analysis |
| title_short | Effect of uncertainty of material parameters on stress triaxiality and Lode angle in finite elasto-plasticity—A variance-based global sensitivity analysis |
| title_sort | effect of uncertainty of material parameters on stress triaxiality and lode angle in finite elasto plasticity a variance based global sensitivity analysis |
| topic | Uncertainty Probability Finite elements Material parameters Finite elastoplasticity Stress triaxiality |
| url | http://www.sciencedirect.com/science/article/pii/S266691292300017X |
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