An adaptive isogeometric-meshfree coupling approach for the limit analysis of cracked structures
An adaptive isogeometric-meshfree (AIMF) coupling approach is proposed to predict the limit load factors of cracked structures. The concept of the present approach, which relies on forming an equivalence between the isogeometric analysis (IGA) and moving least-squares meshfree method, is developed b...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2022
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| Online Access: | https://hdl.handle.net/10356/154895 |
| _version_ | 1824456636734898176 |
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| author | Huang, Jiazhao Nhon Nguyen-Thanh Li, Weidong Zhou, Kun |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Huang, Jiazhao Nhon Nguyen-Thanh Li, Weidong Zhou, Kun |
| author_sort | Huang, Jiazhao |
| collection | NTU |
| description | An adaptive isogeometric-meshfree (AIMF) coupling approach is proposed to predict the limit load factors of cracked structures. The concept of the present approach, which relies on forming an equivalence between the isogeometric analysis (IGA) and moving least-squares meshfree method, is developed based on the reproducing conditions, resulting in a unified formulation of the basis functions. Thereby, the refinement of IGA can be implemented in a straightforward meshfree manner for limit analysis problems. The adaptivity of refinement is realized by adopting an indicator of plastic dissipation to automatically identify the material regions associated with the dissipated work greater than a predefined threshold. Subsequently, the marked meshes are refined through the insertion of linear reproducing points. Enrichment functions are further introduced to the present approach for crack modelling. The resulting optimization formulation of limit analysis is re-expressed in the form of second-order cone programming which can be effectively tackled by the interior-point solvers. Through a series of numerical examples, the present approach has been proven to achieve both high convergence rates and accurate simulation results. |
| first_indexed | 2025-02-19T03:57:15Z |
| format | Journal Article |
| id | ntu-10356/154895 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2025-02-19T03:57:15Z |
| publishDate | 2022 |
| record_format | dspace |
| spelling | ntu-10356/1548952022-01-13T03:59:14Z An adaptive isogeometric-meshfree coupling approach for the limit analysis of cracked structures Huang, Jiazhao Nhon Nguyen-Thanh Li, Weidong Zhou, Kun School of Mechanical and Aerospace Engineering School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Engineering::Mechanical engineering Plasticity Adaptive An adaptive isogeometric-meshfree (AIMF) coupling approach is proposed to predict the limit load factors of cracked structures. The concept of the present approach, which relies on forming an equivalence between the isogeometric analysis (IGA) and moving least-squares meshfree method, is developed based on the reproducing conditions, resulting in a unified formulation of the basis functions. Thereby, the refinement of IGA can be implemented in a straightforward meshfree manner for limit analysis problems. The adaptivity of refinement is realized by adopting an indicator of plastic dissipation to automatically identify the material regions associated with the dissipated work greater than a predefined threshold. Subsequently, the marked meshes are refined through the insertion of linear reproducing points. Enrichment functions are further introduced to the present approach for crack modelling. The resulting optimization formulation of limit analysis is re-expressed in the form of second-order cone programming which can be effectively tackled by the interior-point solvers. Through a series of numerical examples, the present approach has been proven to achieve both high convergence rates and accurate simulation results. Nanyang Technological University National Research Foundation (NRF) This research work was conducted in the SMRT-NTU Smart Urban Rail Corporate Laboratory with funding support from the National Research Foundation (NRF), Singapore, SMRT, Singapore and Nanyang Technological University, Singapore. 2022-01-13T03:59:14Z 2022-01-13T03:59:14Z 2020 Journal Article Huang, J., Nhon Nguyen-Thanh, Li, W. & Zhou, K. (2020). An adaptive isogeometric-meshfree coupling approach for the limit analysis of cracked structures. Theoretical and Applied Fracture Mechanics, 106, 102426-. https://dx.doi.org/10.1016/j.tafmec.2019.102426 0167-8442 https://hdl.handle.net/10356/154895 10.1016/j.tafmec.2019.102426 2-s2.0-85076970352 106 102426 en Theoretical and Applied Fracture Mechanics © 2019 Elsevier Ltd. All rights reserved |
| spellingShingle | Engineering::Electrical and electronic engineering Engineering::Mechanical engineering Plasticity Adaptive Huang, Jiazhao Nhon Nguyen-Thanh Li, Weidong Zhou, Kun An adaptive isogeometric-meshfree coupling approach for the limit analysis of cracked structures |
| title | An adaptive isogeometric-meshfree coupling approach for the limit analysis of cracked structures |
| title_full | An adaptive isogeometric-meshfree coupling approach for the limit analysis of cracked structures |
| title_fullStr | An adaptive isogeometric-meshfree coupling approach for the limit analysis of cracked structures |
| title_full_unstemmed | An adaptive isogeometric-meshfree coupling approach for the limit analysis of cracked structures |
| title_short | An adaptive isogeometric-meshfree coupling approach for the limit analysis of cracked structures |
| title_sort | adaptive isogeometric meshfree coupling approach for the limit analysis of cracked structures |
| topic | Engineering::Electrical and electronic engineering Engineering::Mechanical engineering Plasticity Adaptive |
| url | https://hdl.handle.net/10356/154895 |
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