皱褶弹性薄膜的核磁共振分析

IF 1 4区工程技术 Q4 MECHANICS

Comptes Rendus Mecanique Pub Date : 2019-10-01 DOI:10.1016/j.crme.2019.10.001

Siham Khalil , Youssef Belaasilia , Abdellah Hamdaoui , Bouazza Braikat , Mohammad Jamal , Noureddine Damil , Zitouni Azari

{"title":"皱褶弹性薄膜的核磁共振分析","authors":"Siham Khalil , Youssef Belaasilia , Abdellah Hamdaoui , Bouazza Braikat , Mohammad Jamal , Noureddine Damil , Zitouni Azari","doi":"10.1016/j.crme.2019.10.001","DOIUrl":null,"url":null,"abstract":"<div><p>In this work, we have investigated numerically the disappearance of wrinkles from a tended membrane by the Asymptotic Numerical Method (ANM) using the finite-element DKT18. The ANM is a path-following technique that has been used to solve bifurcation problems. We show numerically the influence of the terms corresponding to the membrane displacement gradient in the Föppl–von Kármán (FvK) theory on the bifurcation curves in the case of a stretched elastic membrane. We will also study numerically, by using the ANM algorithm, the influence of the thickness and of the aspect ratio on the re-stabilization of a rectangular elastic membrane during stretching. The results obtained by our model are compared with those obtained using the industrial code ABAQUS.</p></div>","PeriodicalId":50997,"journal":{"name":"Comptes Rendus Mecanique","volume":"347 10","pages":"Pages 701-709"},"PeriodicalIF":1.0000,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.crme.2019.10.001","citationCount":"6","resultStr":"{\"title\":\"ANM analysis of a wrinkled elastic thin membrane\",\"authors\":\"Siham Khalil , Youssef Belaasilia , Abdellah Hamdaoui , Bouazza Braikat , Mohammad Jamal , Noureddine Damil , Zitouni Azari\",\"doi\":\"10.1016/j.crme.2019.10.001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this work, we have investigated numerically the disappearance of wrinkles from a tended membrane by the Asymptotic Numerical Method (ANM) using the finite-element DKT18. The ANM is a path-following technique that has been used to solve bifurcation problems. We show numerically the influence of the terms corresponding to the membrane displacement gradient in the Föppl–von Kármán (FvK) theory on the bifurcation curves in the case of a stretched elastic membrane. We will also study numerically, by using the ANM algorithm, the influence of the thickness and of the aspect ratio on the re-stabilization of a rectangular elastic membrane during stretching. The results obtained by our model are compared with those obtained using the industrial code ABAQUS.</p></div>\",\"PeriodicalId\":50997,\"journal\":{\"name\":\"Comptes Rendus Mecanique\",\"volume\":\"347 10\",\"pages\":\"Pages 701-709\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2019-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.crme.2019.10.001\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Comptes Rendus Mecanique\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1631072119301408\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus Mecanique","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1631072119301408","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}

引用次数: 6

摘要

在这项工作中，我们使用有限元DKT18，用渐近数值方法(ANM)数值研究了倾斜膜上皱纹的消失。ANM是一种路径跟踪技术，已被用于解决分支问题。我们用数值方法证明了Föppl-von Kármán (FvK)理论中膜位移梯度对应的项对拉伸弹性膜的分岔曲线的影响。我们还将使用ANM算法，数值研究厚度和纵横比对矩形弹性膜在拉伸过程中的再稳定的影响。并与工业代码ABAQUS的计算结果进行了比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

ANM analysis of a wrinkled elastic thin membrane

In this work, we have investigated numerically the disappearance of wrinkles from a tended membrane by the Asymptotic Numerical Method (ANM) using the finite-element DKT18. The ANM is a path-following technique that has been used to solve bifurcation problems. We show numerically the influence of the terms corresponding to the membrane displacement gradient in the Föppl–von Kármán (FvK) theory on the bifurcation curves in the case of a stretched elastic membrane. We will also study numerically, by using the ANM algorithm, the influence of the thickness and of the aspect ratio on the re-stabilization of a rectangular elastic membrane during stretching. The results obtained by our model are compared with those obtained using the industrial code ABAQUS.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Comptes Rendus Mecanique 物理-力学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

12 months

期刊介绍： The Comptes rendus - Mécanique cover all fields of the discipline: Logic, Combinatorics, Number Theory, Group Theory, Mathematical Analysis, (Partial) Differential Equations, Geometry, Topology, Dynamical systems, Mathematical Physics, Mathematical Problems in Mechanics, Signal Theory, Mathematical Economics, … The journal publishes original and high-quality research articles. These can be in either in English or in French, with an abstract in both languages. An abridged version of the main text in the second language may also be included.