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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Publishing House for Science and Technology
2020-12-01
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| Series: | Vietnam Journal of Mechanics |
| Subjects: | |
| Online Access: | https://vjs.ac.vn/index.php/vjmech/article/view/14765 |
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| Summary: | 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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| ISSN: | 0866-7136 2815-5882 |