From loop probability of self-avoiding walk to constitutive models of hydrogels for thickness, strain-softening and hardening effects

A novel self-avoiding walk (SAW) chain with loop probability model is proposed, incorporating parameters with clear physical meanings at the microscopic scale. By contrasting it with the phenomenally described Gent model, this research not only discovers the physical foundations of the Gent model...

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Main Authors: You, Hao, Zheng, Shoujing, Lam, K. Y., Li, Hua
Other Authors: School of Mechanical and Aerospace Engineering
Format: Article
Language:English
Published: 2023
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Online Access:https://hdl.handle.net/10356/171111
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1711112024-01-13T16:48:13Z From loop probability of self-avoiding walk to constitutive models of hydrogels for thickness, strain-softening and hardening effects You, Hao Zheng, Shoujing Lam, K. Y. Li, Hua School of Mechanical and Aerospace Engineering Engineering::Mechanical engineering Hydrogel Self-Avoiding Walk A novel self-avoiding walk (SAW) chain with loop probability model is proposed, incorporating parameters with clear physical meanings at the microscopic scale. By contrasting it with the phenomenally described Gent model, this research not only discovers the physical foundations of the Gent model assumed purely empirical previously but also provides insights into the stiffness-toughness conflict as well as the thickness effect of hydrogels. Coupled with the physically based Arruda-Boyce model, the proposed model empowers the Kuhn length with the ability to shorten or elongate, allowing for modelling strain-softening and hardening effects for both soft regular and highly entangled hydrogels. The proposed model is validated through comparisons with published experiments on stress-stretch curves of ultrathin hydrogel films and both soft regular and highly entangled hydrogels. Submitted/Accepted version 2023-10-13T07:02:57Z 2023-10-13T07:02:57Z 2023 Journal Article You, H., Zheng, S., Lam, K. Y. & Li, H. (2023). From loop probability of self-avoiding walk to constitutive models of hydrogels for thickness, strain-softening and hardening effects. Extreme Mechanics Letters, 64, 102083-. https://dx.doi.org/10.1016/j.eml.2023.102083 2352-4316 https://hdl.handle.net/10356/171111 10.1016/j.eml.2023.102083 64 102083 en Extreme Mechanics Letters © 2023 Elsevier Ltd. All rights reserved. This article may be downloaded for personal use only. Any other use requires prior permission of the copyright holder. The Version of Record is available online at http://doi.org/10.1016/j.eml.2023.102083. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Engineering::Mechanical engineering
Hydrogel
Self-Avoiding Walk
spellingShingle Engineering::Mechanical engineering
Hydrogel
Self-Avoiding Walk
You, Hao
Zheng, Shoujing
Lam, K. Y.
Li, Hua
From loop probability of self-avoiding walk to constitutive models of hydrogels for thickness, strain-softening and hardening effects
description A novel self-avoiding walk (SAW) chain with loop probability model is proposed, incorporating parameters with clear physical meanings at the microscopic scale. By contrasting it with the phenomenally described Gent model, this research not only discovers the physical foundations of the Gent model assumed purely empirical previously but also provides insights into the stiffness-toughness conflict as well as the thickness effect of hydrogels. Coupled with the physically based Arruda-Boyce model, the proposed model empowers the Kuhn length with the ability to shorten or elongate, allowing for modelling strain-softening and hardening effects for both soft regular and highly entangled hydrogels. The proposed model is validated through comparisons with published experiments on stress-stretch curves of ultrathin hydrogel films and both soft regular and highly entangled hydrogels.
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
You, Hao
Zheng, Shoujing
Lam, K. Y.
Li, Hua
format Article
author You, Hao
Zheng, Shoujing
Lam, K. Y.
Li, Hua
author_sort You, Hao
title From loop probability of self-avoiding walk to constitutive models of hydrogels for thickness, strain-softening and hardening effects
title_short From loop probability of self-avoiding walk to constitutive models of hydrogels for thickness, strain-softening and hardening effects
title_full From loop probability of self-avoiding walk to constitutive models of hydrogels for thickness, strain-softening and hardening effects
title_fullStr From loop probability of self-avoiding walk to constitutive models of hydrogels for thickness, strain-softening and hardening effects
title_full_unstemmed From loop probability of self-avoiding walk to constitutive models of hydrogels for thickness, strain-softening and hardening effects
title_sort from loop probability of self-avoiding walk to constitutive models of hydrogels for thickness, strain-softening and hardening effects
publishDate 2023
url https://hdl.handle.net/10356/171111
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