Limit analysis of microstructures based on homogenization theory and the element-free Galerkin method
This paper presents a novel numerical formulation of computational homogenization analysis of materials at limit state. The fluctuating displacement field are approximated using the Element-Free Galerkin (EFG) meshless method. The estimated yield surface of materials can be determined by handling t...
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| Format: | Article |
| Language: | English |
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Publishing House for Science and Technology
2020-12-01
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| Series: | Vietnam Journal of Mechanics |
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| Online Access: | https://vjs.ac.vn/index.php/vjmech/article/view/14765 |
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| author | Canh V. Le Phuc L. H. Ho |
| author_facet | Canh V. Le Phuc L. H. Ho |
| author_sort | Canh V. Le |
| collection | DOAJ |
| description |
This paper presents a novel numerical formulation of computational homogenization analysis of materials at limit state. The fluctuating displacement field are approximated using the Element-Free Galerkin (EFG) meshless method. The estimated yield surface of materials can be determined by handling the multiscale (macro-micro) transition. Taking advantage of high-order EFG shape function and the second-order cone programming, the resulting optimization problem can be solved rapidly with the great accuracy. Several benchmark examples will be investigated to demonstrate the computational efficiency of proposed method.
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| format | Article |
| id | doaj-art-4d8b71828c2c4dda92d8e46d5f615e7a |
| institution | DOAJ |
| issn | 0866-7136 2815-5882 |
| language | English |
| publishDate | 2020-12-01 |
| publisher | Publishing House for Science and Technology |
| record_format | Article |
| series | Vietnam Journal of Mechanics |
| spelling | doaj-art-4d8b71828c2c4dda92d8e46d5f615e7a2025-08-20T03:04:45ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58822020-12-0142410.15625/0866-7136/14765Limit analysis of microstructures based on homogenization theory and the element-free Galerkin methodCanh V. Le0Phuc L. H. Ho1Department of Civil Engineering, International University, VNU-HCMC, VietnamDepartment of Civil Engineering, International University, VNU-HCMC, Vietnam This paper presents a novel numerical formulation of computational homogenization analysis of materials at limit state. The fluctuating displacement field are approximated using the Element-Free Galerkin (EFG) meshless method. The estimated yield surface of materials can be determined by handling the multiscale (macro-micro) transition. Taking advantage of high-order EFG shape function and the second-order cone programming, the resulting optimization problem can be solved rapidly with the great accuracy. Several benchmark examples will be investigated to demonstrate the computational efficiency of proposed method. https://vjs.ac.vn/index.php/vjmech/article/view/14765homogenizationlimit analysissecond-order cone programmingElement-Free Galerkin method |
| spellingShingle | Canh V. Le Phuc L. H. Ho Limit analysis of microstructures based on homogenization theory and the element-free Galerkin method Vietnam Journal of Mechanics homogenization limit analysis second-order cone programming Element-Free Galerkin method |
| title | Limit analysis of microstructures based on homogenization theory and the element-free Galerkin method |
| title_full | Limit analysis of microstructures based on homogenization theory and the element-free Galerkin method |
| title_fullStr | Limit analysis of microstructures based on homogenization theory and the element-free Galerkin method |
| title_full_unstemmed | Limit analysis of microstructures based on homogenization theory and the element-free Galerkin method |
| title_short | Limit analysis of microstructures based on homogenization theory and the element-free Galerkin method |
| title_sort | limit analysis of microstructures based on homogenization theory and the element free galerkin method |
| topic | homogenization limit analysis second-order cone programming Element-Free Galerkin method |
| url | https://vjs.ac.vn/index.php/vjmech/article/view/14765 |
| work_keys_str_mv | AT canhvle limitanalysisofmicrostructuresbasedonhomogenizationtheoryandtheelementfreegalerkinmethod AT phuclhho limitanalysisofmicrostructuresbasedonhomogenizationtheoryandtheelementfreegalerkinmethod |