A quasi-brittle damage model in the framework of bond-based peridynamics with adaptive dynamic relaxation method
Peridynamics (PD) is a new tool, based on the non-local theory for modelling fracture mechanics, where particles connected through physical interaction used to represent a domain. By using the PD theory, damage or crack in a material domain can be shown in much practical representation. This study c...
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| Format: | Article |
| Language: | English |
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Faculty Mechanical Engineering, UMP
2021
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| Online Access: | http://umpir.ump.edu.my/id/eprint/33533/1/A%20Quasi%20Brittle%20damage%20model%20in%20the%20framework.pdf |
| _version_ | 1796994985141207040 |
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| author | Yakin, H. N. Nik Abdullah, Nik Mohamed M. R. M., Rejab |
| author_facet | Yakin, H. N. Nik Abdullah, Nik Mohamed M. R. M., Rejab |
| author_sort | Yakin, H. N. |
| collection | UMP |
| description | Peridynamics (PD) is a new tool, based on the non-local theory for modelling fracture mechanics, where particles connected through physical interaction used to represent a domain. By using the PD theory, damage or crack in a material domain can be shown in much practical representation. This study compares between Prototype Microelastic Brittle (PMB) damage model and a new Quasi-Brittle (QBR) damage model in the framework of the Bond-based Peridynamics (BBPD) in terms of the damage plot. An in-house code using Matlab was developed for BBPD with inclusion of both damage models, and tested for a quasi-static problem with the implementation of Adaptive Dynamic Relaxation (ADR) method in the theory in order to get a faster steady state solutions. This paper is the first attempt to include ADR method in the framework of BBPD for QBR damage model. This paper analysed a numerical problem with the absence of failure and compared the displacement with literature result that used Finite Element Method (FEM). The obtained numerical results are in good agreement with the result from FEM. The same problem was used with the allowance of the failure to happen for both of the damage models; PMB and QBR, to observe the damage pattern between these two damage models. PMB damage model produced damage value of roughly twice compared to the damage value from QBR damage model. It is found that the QBR damage model with ADR under quasi-static loading significantly improves the prediction of the progressive failure process, and managed to model a more realistic damage model with respect to the PMB damage model. |
| first_indexed | 2024-03-06T12:55:39Z |
| format | Article |
| id | UMPir33533 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2024-03-06T12:55:39Z |
| publishDate | 2021 |
| publisher | Faculty Mechanical Engineering, UMP |
| record_format | dspace |
| spelling | UMPir335332022-03-14T02:53:30Z http://umpir.ump.edu.my/id/eprint/33533/ A quasi-brittle damage model in the framework of bond-based peridynamics with adaptive dynamic relaxation method Yakin, H. N. Nik Abdullah, Nik Mohamed M. R. M., Rejab TA Engineering (General). Civil engineering (General) TJ Mechanical engineering and machinery Peridynamics (PD) is a new tool, based on the non-local theory for modelling fracture mechanics, where particles connected through physical interaction used to represent a domain. By using the PD theory, damage or crack in a material domain can be shown in much practical representation. This study compares between Prototype Microelastic Brittle (PMB) damage model and a new Quasi-Brittle (QBR) damage model in the framework of the Bond-based Peridynamics (BBPD) in terms of the damage plot. An in-house code using Matlab was developed for BBPD with inclusion of both damage models, and tested for a quasi-static problem with the implementation of Adaptive Dynamic Relaxation (ADR) method in the theory in order to get a faster steady state solutions. This paper is the first attempt to include ADR method in the framework of BBPD for QBR damage model. This paper analysed a numerical problem with the absence of failure and compared the displacement with literature result that used Finite Element Method (FEM). The obtained numerical results are in good agreement with the result from FEM. The same problem was used with the allowance of the failure to happen for both of the damage models; PMB and QBR, to observe the damage pattern between these two damage models. PMB damage model produced damage value of roughly twice compared to the damage value from QBR damage model. It is found that the QBR damage model with ADR under quasi-static loading significantly improves the prediction of the progressive failure process, and managed to model a more realistic damage model with respect to the PMB damage model. Faculty Mechanical Engineering, UMP 2021-12-15 Article PeerReviewed pdf en cc_by_4 http://umpir.ump.edu.my/id/eprint/33533/1/A%20Quasi%20Brittle%20damage%20model%20in%20the%20framework.pdf Yakin, H. N. and Nik Abdullah, Nik Mohamed and M. R. M., Rejab (2021) A quasi-brittle damage model in the framework of bond-based peridynamics with adaptive dynamic relaxation method. Journal of Mechanical Engineering and Sciences (JMES), 15 (4). 8617 -8623. ISSN 2231-8380 (online). (Published) https://doi.org/10.15282/jmes.15.4.2021.14.0680 https://doi.org/10.15282/jmes.15.4.2021.14.0680 |
| spellingShingle | TA Engineering (General). Civil engineering (General) TJ Mechanical engineering and machinery Yakin, H. N. Nik Abdullah, Nik Mohamed M. R. M., Rejab A quasi-brittle damage model in the framework of bond-based peridynamics with adaptive dynamic relaxation method |
| title | A quasi-brittle damage model in the framework of bond-based peridynamics with adaptive dynamic relaxation method |
| title_full | A quasi-brittle damage model in the framework of bond-based peridynamics with adaptive dynamic relaxation method |
| title_fullStr | A quasi-brittle damage model in the framework of bond-based peridynamics with adaptive dynamic relaxation method |
| title_full_unstemmed | A quasi-brittle damage model in the framework of bond-based peridynamics with adaptive dynamic relaxation method |
| title_short | A quasi-brittle damage model in the framework of bond-based peridynamics with adaptive dynamic relaxation method |
| title_sort | quasi brittle damage model in the framework of bond based peridynamics with adaptive dynamic relaxation method |
| topic | TA Engineering (General). Civil engineering (General) TJ Mechanical engineering and machinery |
| url | http://umpir.ump.edu.my/id/eprint/33533/1/A%20Quasi%20Brittle%20damage%20model%20in%20the%20framework.pdf |
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