A non-affine constitutive model for the extremely large deformation of hydrogel polymer network based on network modeling method

IF 4.6 2区工程技术 Q1 ENGINEERING, MECHANICAL

Acta Mechanica Sinica Pub Date : 2025-07-16 DOI:10.1007/s10409-025-25504-x

Jincheng Lei (, ), Yuan Gao (, ), Danyang Wang (, ), Zishun Liu (, )

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引用次数: 0

Abstract

Current hyperelastic constitutive models of hydrogels face difficulties in capturing the stress-strain behaviors of hydrogels under extremely large deformation because the effect of non-affine deformation of the polymer network inside is ambiguous. In this work, we construct periodic random network (PRN) models for the effective polymer network in hydrogels and investigate the non-affine deformation of polymer chains intrinsically originates from the structural randomness from bottom up. The non-affine deformation in PRN models is manifested as the actual stretch of polymer chains randomly deviated from the chain stretch predicted by affine assumption, and quantified by a non-affine ratio of each polymer chain. It is found that the non-affine ratios of polymer chains are closely related to bulk deformation state, chain orientation, and initial chain elongation. By fitting the non-affine ratio of polymer chains in all PRN models, we propose a non-affine constitutive model for the hydrogel polymer network based on micro-sphere model. The stress-strain curves of the proposed constitutive models under uniaxial tension condition agree with the simulation results of different PRN models of hydrogels very well.

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基于网络建模方法的水凝胶聚合物网络大变形非仿射本构模型

由于水凝胶内部聚合物网络的非仿射变形的影响是模糊的，目前的水凝胶超弹性本构模型难以捕捉水凝胶在极大变形下的应力-应变行为。本文构建了水凝胶中有效聚合物网络的周期随机网络（PRN）模型，并研究了聚合物链的非仿射变形本质上源于自下而上的结构随机性。PRN模型中的非仿射变形表现为聚合物链的实际拉伸与仿射假设预测的链拉伸随机偏离，并通过每条聚合物链的非仿射比来量化。研究发现，聚合物链的非仿射比与体变形状态、链取向和初始链伸长密切相关。通过拟合所有PRN模型中聚合物链的非仿射比，提出了基于微球模型的水凝胶聚合物网络的非仿射本构模型。所建立的本构模型在单轴拉伸条件下的应力-应变曲线与不同PRN水凝胶模型的模拟结果吻合较好。

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来源期刊

Acta Mechanica Sinica 物理-工程：机械

CiteScore

5.60

自引率

20.00%

发文量

1807

审稿时长

4 months

期刊介绍： Acta Mechanica Sinica, sponsored by the Chinese Society of Theoretical and Applied Mechanics, promotes scientific exchanges and collaboration among Chinese scientists in China and abroad. It features high quality, original papers in all aspects of mechanics and mechanical sciences. Not only does the journal explore the classical subdivisions of theoretical and applied mechanics such as solid and fluid mechanics, it also explores recently emerging areas such as biomechanics and nanomechanics. In addition, the journal investigates analytical, computational, and experimental progresses in all areas of mechanics. Lastly, it encourages research in interdisciplinary subjects, serving as a bridge between mechanics and other branches of engineering and the sciences. In addition to research papers, Acta Mechanica Sinica publishes reviews, notes, experimental techniques, scientific events, and other special topics of interest. Related subjects » Classical Continuum Physics - Computational Intelligence and Complexity - Mechanics