Mathematical Modeling and Experimental Study of Water Diffusion and Swelling in Polymer Films

Gagliardi Mariacristina

摘要

Abstract >Water diffusion and swelling of polymer films can be modeled by nonlinear diffusion equations with fixed or moving boundaries, investigating the Fick and the Stefan problems. To form a better view of the dynamics of the problems, this paper reports the mathematical modeling of water diffusion with linear and nonlinear diffusion coefficients by using the finite element method, and the description of boundary movements calculated with a fully implicit upwind scheme. Experimental results are used to support theoretical data. It is found that porosity strongly affects diffusion properties and proposed models describe analyzed phenomena with high reliability. Models describing water diffusion and volume increase after swelling will be considered in future studies involving degradable and erodible?matrices. </abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译：</span><Abstract Type =“Main”XML：Lang =“en”> <标题类型=“main”>抽象</ title> >聚合物膜的水扩散和溶胀可以通过具有固定或移动边界的非线性扩散方程来建模，研究Fick和Stefan问题。为了更好地看待问题的动态，本文通过使用有限元方法报告了用线性和非线性扩散系数的水扩散的数学建模，以及用完全隐含的Upwind方案计算的边界运动的描述。实验结果用于支持理论数据。发现孔隙率强烈影响扩散性能，并且所提出的模型描述了具有高可靠性的分析现象。在涉及可降解和可易于侵蚀的情况下，将考虑描述肿胀后水分扩散和体积增加的模型。</ p> </摘要> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" >著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-24304/'>《Macromolecular theory and simulations》</a> <b style="margin: 0 2px;">|</b><span>2019年第3期</span><b style="margin: 0 2px;">|</b><span>共9页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Gagliardi Mariacristina&option=202" target="_blank" rel="nofollow">Gagliardi Mariacristina;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>IMT School for Advenced Studies LuccaPiazza San Francesco 19 55100 Lucca Italy;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li > <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span><a href="https://www.zhangqiaokeyan.com/clc/1185.html" title="高分子化学（高聚物）">高分子化学（高聚物）;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=diffusion&option=203" rel="nofollow">diffusion;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Fick model&option=203" rel="nofollow">Fick model;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=moving boundaries&option=203" rel="nofollow">moving boundaries;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Stefan problem&option=203" rel="nofollow">Stefan problem;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=swelling&option=203" rel="nofollow">swelling;</a> </p> <div class="translation"> 机译：扩散;Fick模型;移动边界;Stefan问题;肿胀; </div> </li> </ul> </div> </div> <div class="literature cardcommon"> <div class="similarity "> <h3 class="all_title" id="enpatent66">相似文献</h3> <div class="similaritytab clearfix"> <ul> <li class="active" >外文文献</li> <li >中文文献</li> <li >专利</li> </ul> </div> <div class="similarity_details"> <ul > <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/0704023539043.html">Mathematical Modeling and Experimental Study of Water Diffusion and Swelling in Polymer Films</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Gagliardi Mariacristina&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Gagliardi Mariacristina </a> <a href="/journal-foreign-24304/" target="_blank" rel="nofollow" class="tuijian_authcolor">Macromolecular theory and simulations .</a> <span>2019</span><span>,第3期</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：聚合物薄膜水分扩散和肿胀的数学建模与实验研究</span> </p> </li> <li> <div> <b>2. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/0704010908213.html">FTIR-ATR studies of diffusion and perturbation of water in polyelectrolyte thin films. 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