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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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 |
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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. |
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School of Mechanical and Aerospace Engineering |
author_facet |
School of Mechanical and Aerospace Engineering You, Hao Zheng, Shoujing Lam, K. Y. Li, Hua |
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Article |
author |
You, Hao Zheng, Shoujing Lam, K. Y. Li, Hua |
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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 |
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https://hdl.handle.net/10356/171111 |
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1789483032887951360 |