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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Main Authors: H. N., Yakin, Nik Abdullah, Nik Mohamed, M. R. M., Rejab
Format: Conference or Workshop Item
Language:English
English
Published: 2023
Subjects:
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
http://umpir.ump.edu.my/id/eprint/39425/
https://doi.org/10.1007/978-981-19-1457-7_68
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Institution: Universiti Malaysia Pahang Al-Sultan Abdullah
Language: English
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spelling my.ump.umpir.394252023-11-29T05:18:17Z 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 https://doi.org/10.1007/978-981-19-1457-7_68
institution Universiti Malaysia Pahang Al-Sultan Abdullah
building UMPSA Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Pahang Al-Sultan Abdullah
content_source UMPSA Institutional Repository
url_provider http://umpir.ump.edu.my/
language English
English
topic TJ Mechanical engineering and machinery
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
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.
format Conference or Workshop Item
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
title 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_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_sort effect of particle discretisation and horizon size on the displacement and damage plot using bond-based peridynamics
publishDate 2023
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
http://umpir.ump.edu.my/id/eprint/39425/
https://doi.org/10.1007/978-981-19-1457-7_68
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