A numerical model for chemo-thermo-mechanical coupling at large strains with an application to thermoresponsive hydrogels

IF 3.7 2区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Computational Mechanics Pub Date : 2024-02-16 DOI:10.1007/s00466-024-02443-x
Florian Brunner, Tristan Seidlhofer, Manfred H. Ulz
{"title":"A numerical model for chemo-thermo-mechanical coupling at large strains with an application to thermoresponsive hydrogels","authors":"Florian Brunner, Tristan Seidlhofer, Manfred H. Ulz","doi":"10.1007/s00466-024-02443-x","DOIUrl":null,"url":null,"abstract":"<p>The aim of this work is the derivation and examination of a material model, accounting for large elastic deformations, coupled with species diffusion and thermal effects. This chemo-thermo-mechanical material model shows three key aspects regarding its numerical formulation. Firstly, a multiplicative split of the deformation gradient into a mechanical, a swelling and a thermal part. Secondly, temperature-scaled gradients for a numerical design comprising symmetric tangents and, thirdly, dissipation potentials for the modelling of dissipative effects. Additionally, the derived general material model is specialised to thermoresponsive hydrogels to study its predictive capabilities for a relevant example material class. An appropriate finite element formulation is established and its implementation discussed. Numerical examples are investigated, including phase transition and stability phenomena, to verify the ability of the derived chemo-thermo-mechanical material model to predict relevant physical effects properly. We compare our results to established models in the literature and discuss emerging deviations.</p>","PeriodicalId":55248,"journal":{"name":"Computational Mechanics","volume":"347 1","pages":""},"PeriodicalIF":3.7000,"publicationDate":"2024-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computational Mechanics","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1007/s00466-024-02443-x","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0

Abstract

The aim of this work is the derivation and examination of a material model, accounting for large elastic deformations, coupled with species diffusion and thermal effects. This chemo-thermo-mechanical material model shows three key aspects regarding its numerical formulation. Firstly, a multiplicative split of the deformation gradient into a mechanical, a swelling and a thermal part. Secondly, temperature-scaled gradients for a numerical design comprising symmetric tangents and, thirdly, dissipation potentials for the modelling of dissipative effects. Additionally, the derived general material model is specialised to thermoresponsive hydrogels to study its predictive capabilities for a relevant example material class. An appropriate finite element formulation is established and its implementation discussed. Numerical examples are investigated, including phase transition and stability phenomena, to verify the ability of the derived chemo-thermo-mechanical material model to predict relevant physical effects properly. We compare our results to established models in the literature and discuss emerging deviations.

Abstract Image

查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
大应变下化学-热力学耦合的数值模型及其在热致伸缩性水凝胶中的应用
这项工作的目的是推导和检验一种材料模型,该模型考虑到了大弹性变形以及物种扩散和热效应。这种化学热力学材料模型的数值计算有三个关键方面。首先,将变形梯度乘法分为机械、膨胀和热三部分。其次,在数值设计中采用温度标度梯度,包括对称切线;第三,采用耗散势来模拟耗散效应。此外,推导出的通用材料模型专门用于热膨胀性水凝胶,以研究其对相关材料类别的预测能力。建立了适当的有限元公式,并讨论了其实施。研究了包括相变和稳定现象在内的数值示例,以验证推导出的化学热力学材料模型正确预测相关物理效应的能力。我们将结果与文献中的既定模型进行了比较,并讨论了新出现的偏差。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
Computational Mechanics
Computational Mechanics 物理-力学
CiteScore
7.80
自引率
12.20%
发文量
122
审稿时长
3.4 months
期刊介绍: The journal reports original research of scholarly value in computational engineering and sciences. It focuses on areas that involve and enrich the application of mechanics, mathematics and numerical methods. It covers new methods and computationally-challenging technologies. Areas covered include method development in solid, fluid mechanics and materials simulations with application to biomechanics and mechanics in medicine, multiphysics, fracture mechanics, multiscale mechanics, particle and meshfree methods. Additionally, manuscripts including simulation and method development of synthesis of material systems are encouraged. Manuscripts reporting results obtained with established methods, unless they involve challenging computations, and manuscripts that report computations using commercial software packages are not encouraged.
期刊最新文献
An improved thermomechanical model for the prediction of stress and strain evolution in proximity to the melt pool in powder bed fusion additive manufacturing A consistent discretization via the finite radon transform for FFT-based computational micromechanics On the use of scaled boundary shape functions in adaptive phase field modeling of brittle fracture Efficient and accurate analysis of locally resonant acoustic metamaterial plates using computational homogenization Modeling cellular self-organization in strain-stiffening hydrogels
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1