Effect of particle discretisation and horizon size on the displacement and damage plot using bond-based peridynamics
Peridynamics (PD) represents a new non-local theory of continuum mechanics which uses integro differential equations instead of the typical local partial differential equations in its formulation. Thus, it is suitable for modelling fracture mechanics, where a continuum domain is modelled through par...
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| Format: | Conference or Workshop Item |
| Language: | English English |
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2023
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| Online Access: | http://umpir.ump.edu.my/id/eprint/39425/1/Effect%20of%20particle%20discretisation%20and%20horizon%20size%20on%20the%20displacement.pdf http://umpir.ump.edu.my/id/eprint/39425/2/Effect%20of%20particle%20discretisation%20and%20horizon%20size%20on%20the%20displacement_FULL.pdf |
| _version_ | 1825815294679973888 |
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| author | H. N., Yakin Nik Abdullah, Nik Mohamed M. R. M., Rejab |
| author_facet | H. N., Yakin Nik Abdullah, Nik Mohamed M. R. M., Rejab |
| author_sort | H. N., Yakin |
| collection | UMP |
| description | Peridynamics (PD) represents a new non-local theory of continuum mechanics which uses integro differential equations instead of the typical local partial differential equations in its formulation. Thus, it is suitable for modelling fracture mechanics, where a continuum domain is modelled through particles connected via physical interactions. The PD formulation allows us to model spontaneous crack initiation, and crack branching without the need for special mathematical treatment. The value of parameters such as particle discretisation and horizon size will be checked to make sure that it agreed to the result from Finite Element Method (FEM) in elastic deformation before proceed to the failure mode. In PD, failure criterion is established when its stretch value exceeds a prescribed critical stretch value. In the classical bond model or Prototype Microelastic Brittle (PMB), the bond force grows linearly with the bond stretch, and the value suddenly goes down to zero when the bond stretch exceeds its critical value. This study will focus on the effect of horizon size and particle discretisation on PD displacement of elastic analysis, and damage patterns with PMB damage model. The proposed study leads to a better understanding of how horizon size and particle disretisation affect the damage patterns in PD frameworks. |
| first_indexed | 2024-03-06T13:11:22Z |
| format | Conference or Workshop Item |
| id | UMPir39425 |
| institution | Universiti Malaysia Pahang |
| language | English English |
| last_indexed | 2024-03-06T13:11:22Z |
| publishDate | 2023 |
| record_format | dspace |
| spelling | UMPir394252023-11-29T05:18:17Z http://umpir.ump.edu.my/id/eprint/39425/ Effect of particle discretisation and horizon size on the displacement and damage plot using bond-based peridynamics H. N., Yakin Nik Abdullah, Nik Mohamed M. R. M., Rejab TJ Mechanical engineering and machinery Peridynamics (PD) represents a new non-local theory of continuum mechanics which uses integro differential equations instead of the typical local partial differential equations in its formulation. Thus, it is suitable for modelling fracture mechanics, where a continuum domain is modelled through particles connected via physical interactions. The PD formulation allows us to model spontaneous crack initiation, and crack branching without the need for special mathematical treatment. The value of parameters such as particle discretisation and horizon size will be checked to make sure that it agreed to the result from Finite Element Method (FEM) in elastic deformation before proceed to the failure mode. In PD, failure criterion is established when its stretch value exceeds a prescribed critical stretch value. In the classical bond model or Prototype Microelastic Brittle (PMB), the bond force grows linearly with the bond stretch, and the value suddenly goes down to zero when the bond stretch exceeds its critical value. This study will focus on the effect of horizon size and particle discretisation on PD displacement of elastic analysis, and damage patterns with PMB damage model. The proposed study leads to a better understanding of how horizon size and particle disretisation affect the damage patterns in PD frameworks. 2023 Conference or Workshop Item PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/39425/1/Effect%20of%20particle%20discretisation%20and%20horizon%20size%20on%20the%20displacement.pdf pdf en http://umpir.ump.edu.my/id/eprint/39425/2/Effect%20of%20particle%20discretisation%20and%20horizon%20size%20on%20the%20displacement_FULL.pdf H. N., Yakin and Nik Abdullah, Nik Mohamed and M. R. M., Rejab (2023) Effect of particle discretisation and horizon size on the displacement and damage plot using bond-based peridynamics. In: Lecture Notes in Mechanical Engineering; 6th International Conference in Mechanical Engineering Research, ICMER 2021 , 26 - 27 October 2021 , Virtual, Online. 881 -897.. ISSN 2195-4356 ISBN 978-981191456-0 (Published) https://doi.org/10.1007/978-981-19-1457-7_68 |
| spellingShingle | TJ Mechanical engineering and machinery H. N., Yakin Nik Abdullah, Nik Mohamed M. R. M., Rejab Effect of particle discretisation and horizon size on the displacement and damage plot using bond-based peridynamics |
| title | Effect of particle discretisation and horizon size on the displacement and damage plot using bond-based peridynamics |
| title_full | Effect of particle discretisation and horizon size on the displacement and damage plot using bond-based peridynamics |
| title_fullStr | Effect of particle discretisation and horizon size on the displacement and damage plot using bond-based peridynamics |
| title_full_unstemmed | Effect of particle discretisation and horizon size on the displacement and damage plot using bond-based peridynamics |
| title_short | Effect of particle discretisation and horizon size on the displacement and damage plot using bond-based peridynamics |
| title_sort | effect of particle discretisation and horizon size on the displacement and damage plot using bond based peridynamics |
| topic | TJ Mechanical engineering and machinery |
| url | http://umpir.ump.edu.my/id/eprint/39425/1/Effect%20of%20particle%20discretisation%20and%20horizon%20size%20on%20the%20displacement.pdf http://umpir.ump.edu.my/id/eprint/39425/2/Effect%20of%20particle%20discretisation%20and%20horizon%20size%20on%20the%20displacement_FULL.pdf |
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