具有上/下临界溶液温度的热致伸缩性水凝胶的耦合场建模

IF 4.3 3区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Extreme Mechanics Letters Pub Date : 2024-08-27 DOI:10.1016/j.eml.2024.102222
A. Valverde-González , J. Reinoso , M. Paggi , B. Dortdivanlioglu
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引用次数: 0

摘要

本文提出了一种用于热致伸缩性水凝胶热-化学-机械模拟的 inf-sup 稳定 FE 公式,通过二次形状函数近似位移场,通过线性函数近似化学势(流体压力)和温度场。该公式已在 Abaqus 中的一个稳定的热-化学-机械用户元素子程序(UEL)中实现,代号为 Q2Q1Q1。所提出的公式已在热膨胀性水凝胶中得到验证,可用于解释几个瞬态扩散驱动膨胀变形的实例。首先,我们捕捉了热致伸缩性水凝胶的上/下临界溶液温度行为,研究了包括瞬时加载状态下的扩散长度影响以及质量通量和超弹性拉伸对温度场的俯视影响在内的一些特殊性。随后,我们进行了数值分析,以研究随温度变化的溶胀率对球体压缩机械行为的影响。通过数值复制探索交联密度对 PNIPAAm 水凝胶热膨胀影响的开创性实验,评估了所建议配方的准确性。
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Coupled field modeling of thermoresponsive hydrogels with upper/lower critical solution temperature

An inf–sup stable FE formulation for the thermo-chemo-mechanical simulation of thermoresponsive hydrogels is herein proposed by approximating the displacement field via quadratic shape functions and both the chemical potential (fluid pressure) and the temperature fields by linear functions. The formulation is implemented into a stable thermo-chemo-mechanical user-element subroutine (UEL) in Abaqus, denoted as Q2Q1Q1. The proposed formulation has been validated in relation to thermoresponsive hydrogels to interpret several examples of transient diffusion-driven swelling deformations. First, the upper/lower critical solution temperature behaviors of thermoresponsive hydrogels has been captured, studying several peculiarities comprising the diffusion length influence at the instantaneous loading state and the overlooked influence of the mass flux and the hyperelastic stretching on the temperature field. Subsequently, numerical analysis have been conducted in order to investigate the impact of temperature-dependent swelling ratio on the mechanical behavior of spheres undergoing compression. The accuracy of the proposed formulation has been assessed by numerically replicating the seminal experiments that explore the influence of crosslinking density on the thermally driven swelling of PNIPAAm hydrogels.

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来源期刊
Extreme Mechanics Letters
Extreme Mechanics Letters Engineering-Mechanics of Materials
CiteScore
9.20
自引率
4.30%
发文量
179
审稿时长
45 days
期刊介绍: Extreme Mechanics Letters (EML) enables rapid communication of research that highlights the role of mechanics in multi-disciplinary areas across materials science, physics, chemistry, biology, medicine and engineering. Emphasis is on the impact, depth and originality of new concepts, methods and observations at the forefront of applied sciences.
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