The Peridynamic Model of Viscoelastic Creep and Recovery

Purpose – The purpose of this paper is to establish a peridynamic method in predicting viscoelastic creep behaviour with recovery stage and to find the suitable numerical parameters of peridynamic method. Design/methodology/approach – A rheological viscoelastic creep constitutive equation includi...

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Main Authors:	Muhammad Azim, Azizi, Ahmad Kamal Ariffin, Mohd Ihsan, Nik Abdullah, Nik Mohamed
Format:	Article
Language:	English
Published:	Emerald Group Publishing Limited 2015
Subjects:	TJ Mechanical engineering and machinery
Online Access:	http://umpir.ump.edu.my/id/eprint/11136/ http://umpir.ump.edu.my/id/eprint/11136/ http://umpir.ump.edu.my/id/eprint/11136/ http://umpir.ump.edu.my/id/eprint/11136/1/The%20Peridynamic%20Model%20of%20Viscoelastic%20Creep%20and%20Recovery.pdf

id	ump-11136
recordtype	eprints
spelling	ump-111362015-12-04T07:57:22Z http://umpir.ump.edu.my/id/eprint/11136/ The Peridynamic Model of Viscoelastic Creep and Recovery Muhammad Azim, Azizi Ahmad Kamal Ariffin, Mohd Ihsan Nik Abdullah, Nik Mohamed TJ Mechanical engineering and machinery Purpose – The purpose of this paper is to establish a peridynamic method in predicting viscoelastic creep behaviour with recovery stage and to find the suitable numerical parameters of peridynamic method. Design/methodology/approach – A rheological viscoelastic creep constitutive equation including recovery and an elastic peridynamic equation (with integral basis) are examined and used. The elasticity equation within the peridynamic equation is replaced by the viscoelastic equation. A new peridynamic method with two time parameters, i.e. numerical time and viscoelastic real time is designed. The two parameters of peridynamic method, horizon radius and number of nodes per unit volume are studied to get their optimal values. In validating this peridynamic method, comparisons are made between numerical and analytical result and between numerical and experimental data. Findings – The new peridynamic method for viscoelastic creep behaviour is approved by the good matching in numerical-analytical data comparison with difference of < 0.1 per cent and in numerical-experimental data comparison with difference of 4-6 per cent. It can be used for further creep test which may include non-linear viscoelastic behaviour and creep rupture. From this paper, the variation of constants in Burger’s viscoelastic model is also studied and groups of constants values that can simulate solid, fluid and solid-fluid viscoelastic behaviours were obtained. In addition, the numerical peridynamic parameters were also manipulated and examined to achieve the optimal values of the parameters. Research limitations/implications – The peridynamic model of viscoelastic creep behaviour preferably should have only one time parameter. This can only be done by solving the unstable fluctuation of dynamic results, which is not discussed in this paper. Another limitation is the tertiary region and creep rupture are not included in this paper. Practical implications – The viscoelastic peridynamic model in this paper can serve as an alternative for conventional numerical simulations in viscoelastic area. This model also is the initial step of developing peridynamic model of viscoelastic creep rupture properties (crack initiation, crack propagation, crack branching, etc.), where this future model has high potential in predicting failure behaviours of any components, tools or structures, and hence increase safety and reduce loss. Originality/value – The application of viscoelastic creep constitutive model on peridynamic formulation, effect of peridynamic parameters manipulation on numerical result, and optimization of constants of viscoelastic model in simulating three types of viscoelastic creep behaviours. Emerald Group Publishing Limited 2015 Article PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/11136/1/The%20Peridynamic%20Model%20of%20Viscoelastic%20Creep%20and%20Recovery.pdf Muhammad Azim, Azizi and Ahmad Kamal Ariffin, Mohd Ihsan and Nik Abdullah, Nik Mohamed (2015) The Peridynamic Model of Viscoelastic Creep and Recovery. Multidiscipline Modeling in Materials and Structures, 11 (4). pp. 579-597. ISSN 1573-6105 http://dx.doi.org/10.1108/MMMS-03-2015-0017 DOI: 10.1108/MMMS-03-2015-0017
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Malaysia Pahang
building	UMP Institutional Repository
collection	Online Access
language	English
topic	TJ Mechanical engineering and machinery
spellingShingle	TJ Mechanical engineering and machinery Muhammad Azim, Azizi Ahmad Kamal Ariffin, Mohd Ihsan Nik Abdullah, Nik Mohamed The Peridynamic Model of Viscoelastic Creep and Recovery
description	Purpose – The purpose of this paper is to establish a peridynamic method in predicting viscoelastic creep behaviour with recovery stage and to find the suitable numerical parameters of peridynamic method. Design/methodology/approach – A rheological viscoelastic creep constitutive equation including recovery and an elastic peridynamic equation (with integral basis) are examined and used. The elasticity equation within the peridynamic equation is replaced by the viscoelastic equation. A new peridynamic method with two time parameters, i.e. numerical time and viscoelastic real time is designed. The two parameters of peridynamic method, horizon radius and number of nodes per unit volume are studied to get their optimal values. In validating this peridynamic method, comparisons are made between numerical and analytical result and between numerical and experimental data. Findings – The new peridynamic method for viscoelastic creep behaviour is approved by the good matching in numerical-analytical data comparison with difference of < 0.1 per cent and in numerical-experimental data comparison with difference of 4-6 per cent. It can be used for further creep test which may include non-linear viscoelastic behaviour and creep rupture. From this paper, the variation of constants in Burger’s viscoelastic model is also studied and groups of constants values that can simulate solid, fluid and solid-fluid viscoelastic behaviours were obtained. In addition, the numerical peridynamic parameters were also manipulated and examined to achieve the optimal values of the parameters. Research limitations/implications – The peridynamic model of viscoelastic creep behaviour preferably should have only one time parameter. This can only be done by solving the unstable fluctuation of dynamic results, which is not discussed in this paper. Another limitation is the tertiary region and creep rupture are not included in this paper. Practical implications – The viscoelastic peridynamic model in this paper can serve as an alternative for conventional numerical simulations in viscoelastic area. This model also is the initial step of developing peridynamic model of viscoelastic creep rupture properties (crack initiation, crack propagation, crack branching, etc.), where this future model has high potential in predicting failure behaviours of any components, tools or structures, and hence increase safety and reduce loss. Originality/value – The application of viscoelastic creep constitutive model on peridynamic formulation, effect of peridynamic parameters manipulation on numerical result, and optimization of constants of viscoelastic model in simulating three types of viscoelastic creep behaviours.
format	Article
author	Muhammad Azim, Azizi Ahmad Kamal Ariffin, Mohd Ihsan Nik Abdullah, Nik Mohamed
author_facet	Muhammad Azim, Azizi Ahmad Kamal Ariffin, Mohd Ihsan Nik Abdullah, Nik Mohamed
author_sort	Muhammad Azim, Azizi
title	The Peridynamic Model of Viscoelastic Creep and Recovery
title_short	The Peridynamic Model of Viscoelastic Creep and Recovery
title_full	The Peridynamic Model of Viscoelastic Creep and Recovery
title_fullStr	The Peridynamic Model of Viscoelastic Creep and Recovery
title_full_unstemmed	The Peridynamic Model of Viscoelastic Creep and Recovery
title_sort	peridynamic model of viscoelastic creep and recovery
publisher	Emerald Group Publishing Limited
publishDate	2015
url	http://umpir.ump.edu.my/id/eprint/11136/ http://umpir.ump.edu.my/id/eprint/11136/ http://umpir.ump.edu.my/id/eprint/11136/ http://umpir.ump.edu.my/id/eprint/11136/1/The%20Peridynamic%20Model%20of%20Viscoelastic%20Creep%20and%20Recovery.pdf
first_indexed	2023-09-18T22:11:34Z
last_indexed	2023-09-18T22:11:34Z
_version_	1777415062809477120

The Peridynamic Model of Viscoelastic Creep and Recovery

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