Reliability based geometrically nonlinear bi-directional evolutionary structural optimization of elasto-plastic material
Abstract The aim of this paper is to integrate the reliability-based analysis into topology optimization problems. Consequently, reliability-based topology optimization (RBTO) of geometrically nonlinear elasto-plastic models is presented. For purpose of performing (RBTO), the volume fraction is cons...
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| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2022-04-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-022-09612-z |
| _version_ | 1827984701058449408 |
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| author | Muayad Habashneh Majid Movahedi Rad |
| author_facet | Muayad Habashneh Majid Movahedi Rad |
| author_sort | Muayad Habashneh |
| collection | DOAJ |
| description | Abstract The aim of this paper is to integrate the reliability-based analysis into topology optimization problems. Consequently, reliability-based topology optimization (RBTO) of geometrically nonlinear elasto-plastic models is presented. For purpose of performing (RBTO), the volume fraction is considered reliable since that the application of (RBTO) gives different topology in comparison to the deterministic topology optimization. The effects of changing the prescribed total structural volume constraint for deterministic designs and changing the reliability index for probabilistic designs are considered. Reliability index works as a constraint which is related to reliability condition added into the volume fraction and it is calculated using the Monte-Carlo simulation approach in the case of probabilistic design. In addition, bi-directional evolutionary structural optimization (BESO) method is utilized to study the effect of geometrically nonlinear elasto-plastic design. The plastic behavior can be controlled by defining a limit on the plastic limit load multipliers. The suggested work's efficiency is demonstrated via a 2D benchmark problem. In case of elastic material, a 2D model of U-shape plate is used for probabilistic design of linear and geometrically nonlinear topology optimizations. Furthermore, a 2D elasto-plastic model is considered for reliability-based design to demonstrate that the suggested approach can determine the best topological solution. |
| first_indexed | 2024-04-09T23:03:44Z |
| format | Article |
| id | doaj.art-16999972b6c742df9010e7151397af5e |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-04-09T23:03:44Z |
| publishDate | 2022-04-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-16999972b6c742df9010e7151397af5e2023-03-22T10:50:22ZengNature PortfolioScientific Reports2045-23222022-04-0112112210.1038/s41598-022-09612-zReliability based geometrically nonlinear bi-directional evolutionary structural optimization of elasto-plastic materialMuayad Habashneh0Majid Movahedi Rad1Department of Structural and Geotechnical Engineering, Széchenyi István UniversityDepartment of Structural and Geotechnical Engineering, Széchenyi István UniversityAbstract The aim of this paper is to integrate the reliability-based analysis into topology optimization problems. Consequently, reliability-based topology optimization (RBTO) of geometrically nonlinear elasto-plastic models is presented. For purpose of performing (RBTO), the volume fraction is considered reliable since that the application of (RBTO) gives different topology in comparison to the deterministic topology optimization. The effects of changing the prescribed total structural volume constraint for deterministic designs and changing the reliability index for probabilistic designs are considered. Reliability index works as a constraint which is related to reliability condition added into the volume fraction and it is calculated using the Monte-Carlo simulation approach in the case of probabilistic design. In addition, bi-directional evolutionary structural optimization (BESO) method is utilized to study the effect of geometrically nonlinear elasto-plastic design. The plastic behavior can be controlled by defining a limit on the plastic limit load multipliers. The suggested work's efficiency is demonstrated via a 2D benchmark problem. In case of elastic material, a 2D model of U-shape plate is used for probabilistic design of linear and geometrically nonlinear topology optimizations. Furthermore, a 2D elasto-plastic model is considered for reliability-based design to demonstrate that the suggested approach can determine the best topological solution.https://doi.org/10.1038/s41598-022-09612-z |
| spellingShingle | Muayad Habashneh Majid Movahedi Rad Reliability based geometrically nonlinear bi-directional evolutionary structural optimization of elasto-plastic material Scientific Reports |
| title | Reliability based geometrically nonlinear bi-directional evolutionary structural optimization of elasto-plastic material |
| title_full | Reliability based geometrically nonlinear bi-directional evolutionary structural optimization of elasto-plastic material |
| title_fullStr | Reliability based geometrically nonlinear bi-directional evolutionary structural optimization of elasto-plastic material |
| title_full_unstemmed | Reliability based geometrically nonlinear bi-directional evolutionary structural optimization of elasto-plastic material |
| title_short | Reliability based geometrically nonlinear bi-directional evolutionary structural optimization of elasto-plastic material |
| title_sort | reliability based geometrically nonlinear bi directional evolutionary structural optimization of elasto plastic material |
| url | https://doi.org/10.1038/s41598-022-09612-z |
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