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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.11607 |
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| _version_ | 1866914260233224192 |
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| author | Shekhar, Mayank Pillai, Ayyappan Unnikrishna De, Subhayan Rahaman, Mohammad Masiur |
| author_facet | Shekhar, Mayank Pillai, Ayyappan Unnikrishna De, Subhayan Rahaman, Mohammad Masiur |
| contents | We propose a novel level set-based topology optimization for micropolar solids subjected to thermo-mechanical loading. To capture the size effects, we have incorporated the microstructural length-scale information into the level set-based topology optimization method by adopting a micropolar theory. The proposed non-local topology optimization method can provide accurate topology optimization for size-dependent solids under thermo-mechanical loading. We have demonstrated the effectiveness of the proposed method through a few representative two-dimensional benchmark problems. The numerical results reveal the substantial influence of underlying micro-structures, incorporated in the model through micropolar parameters, and temperature on topology optimization, highlighting the necessity of the proposed thermo-mechanical micropolar formulation for materials with pronounced non-local effects. For the numerical implementation of the proposed model, we have used open-source finite element libraries, \texttt{Gridap.jl}, and \texttt{GridapTopOpt.jl}, available in Julia, to ensure transparency and reproducibility of the reported computational results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_11607 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Level set-based topology optimization of micropolar solids under thermo-mechanical loading Shekhar, Mayank Pillai, Ayyappan Unnikrishna De, Subhayan Rahaman, Mohammad Masiur Computational Physics Numerical Analysis We propose a novel level set-based topology optimization for micropolar solids subjected to thermo-mechanical loading. To capture the size effects, we have incorporated the microstructural length-scale information into the level set-based topology optimization method by adopting a micropolar theory. The proposed non-local topology optimization method can provide accurate topology optimization for size-dependent solids under thermo-mechanical loading. We have demonstrated the effectiveness of the proposed method through a few representative two-dimensional benchmark problems. The numerical results reveal the substantial influence of underlying micro-structures, incorporated in the model through micropolar parameters, and temperature on topology optimization, highlighting the necessity of the proposed thermo-mechanical micropolar formulation for materials with pronounced non-local effects. For the numerical implementation of the proposed model, we have used open-source finite element libraries, \texttt{Gridap.jl}, and \texttt{GridapTopOpt.jl}, available in Julia, to ensure transparency and reproducibility of the reported computational results. |
| title | Level set-based topology optimization of micropolar solids under thermo-mechanical loading |
| topic | Computational Physics Numerical Analysis |
| url | https://arxiv.org/abs/2601.11607 |