{"title":"增量弹性表面波和静态皱纹","authors":"A. Gower","doi":"10.33232/bims.0076.31.32","DOIUrl":null,"url":null,"abstract":"This is an abstract of the PhD thesis Incremental elastic surface waves and static wrinkles written by Artur L. Gower under the supervision of Prof. Michel Destrades at the School of Mathematics, Statistics, and Applied Mathematics, National University of Ireland, Galway and submitted in September 2015. This article-based thesis comprises a collection of four articles, each of which constitutes a chapter written and formatted in manuscript form. The general aim underlying these articles is to understand and predict how incremental elastic surface waves propagate or static wrinkles form on a deformed elastic substrate. The formation of these small-amplitude disturbances can be the end goal, such as in sending signals or creating functional coatings, or they can be used to measure and characterise the underlying elastic substrate. This thesis focuses on using surface waves or static wrinkles to characterise soft solids, such as biological tissues. For the complete thesis see [1]. Here we summarize the main conclusion of the thesis. Chapter 1 predicts a new phenomenon: oblique wrinkles, which should appear in a large range of materials. Yet oblique wrinkles have not been seen experimentally so far on soft solids. Another issue raised was why are the predicted critical strains greater than the experimentally observed critical strains? We showed that this is likely due to a skin effect caused by dehydration. In Chapter 2 the effects of a stiffer skin on an elastic substrate on surface wrinkles was initially studied, and therein we also studied the","PeriodicalId":103198,"journal":{"name":"Irish Mathematical Society Bulletin","volume":"2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Incremental elastic surface waves and static wrinkles\",\"authors\":\"A. Gower\",\"doi\":\"10.33232/bims.0076.31.32\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This is an abstract of the PhD thesis Incremental elastic surface waves and static wrinkles written by Artur L. Gower under the supervision of Prof. Michel Destrades at the School of Mathematics, Statistics, and Applied Mathematics, National University of Ireland, Galway and submitted in September 2015. This article-based thesis comprises a collection of four articles, each of which constitutes a chapter written and formatted in manuscript form. The general aim underlying these articles is to understand and predict how incremental elastic surface waves propagate or static wrinkles form on a deformed elastic substrate. The formation of these small-amplitude disturbances can be the end goal, such as in sending signals or creating functional coatings, or they can be used to measure and characterise the underlying elastic substrate. This thesis focuses on using surface waves or static wrinkles to characterise soft solids, such as biological tissues. For the complete thesis see [1]. Here we summarize the main conclusion of the thesis. Chapter 1 predicts a new phenomenon: oblique wrinkles, which should appear in a large range of materials. Yet oblique wrinkles have not been seen experimentally so far on soft solids. Another issue raised was why are the predicted critical strains greater than the experimentally observed critical strains? We showed that this is likely due to a skin effect caused by dehydration. In Chapter 2 the effects of a stiffer skin on an elastic substrate on surface wrinkles was initially studied, and therein we also studied the\",\"PeriodicalId\":103198,\"journal\":{\"name\":\"Irish Mathematical Society Bulletin\",\"volume\":\"2 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-10-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Irish Mathematical Society Bulletin\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.33232/bims.0076.31.32\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Irish Mathematical Society Bulletin","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33232/bims.0076.31.32","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
摘要
本文是Artur L. Gower博士在Galway爱尔兰国立大学数学、统计和应用数学学院Michel Destrades教授指导下于2015年9月提交的博士论文Incremental elastic surface waves and static wrinkle的摘要。这篇基于文章的论文包括四篇文章的集合,每一篇文章都构成了一个章节,并以手稿的形式格式化。这些文章的总体目标是理解和预测增量弹性表面波如何传播或静态皱纹如何在变形的弹性基底上形成。这些小振幅扰动的形成可以是最终目标,例如在发送信号或创建功能涂层时,或者它们可以用于测量和表征底层弹性衬底。本论文的重点是使用表面波或静态皱纹来表征软固体,如生物组织。完整的论文见[1]。在此总结本文的主要结论。第一章预测了一种新的现象:斜纹,它应该出现在大范围的材料中。然而,迄今为止,在实验中还没有在软固体上看到斜纹。另一个问题是,为什么预测的临界应变大于实验观察到的临界应变?我们发现这可能是由于脱水引起的皮肤效应。在第二章中,我们初步研究了弹性衬底上较硬的表面对表面皱纹的影响,并在此基础上研究了弹性衬底上较硬的表面对表面皱纹的影响
Incremental elastic surface waves and static wrinkles
This is an abstract of the PhD thesis Incremental elastic surface waves and static wrinkles written by Artur L. Gower under the supervision of Prof. Michel Destrades at the School of Mathematics, Statistics, and Applied Mathematics, National University of Ireland, Galway and submitted in September 2015. This article-based thesis comprises a collection of four articles, each of which constitutes a chapter written and formatted in manuscript form. The general aim underlying these articles is to understand and predict how incremental elastic surface waves propagate or static wrinkles form on a deformed elastic substrate. The formation of these small-amplitude disturbances can be the end goal, such as in sending signals or creating functional coatings, or they can be used to measure and characterise the underlying elastic substrate. This thesis focuses on using surface waves or static wrinkles to characterise soft solids, such as biological tissues. For the complete thesis see [1]. Here we summarize the main conclusion of the thesis. Chapter 1 predicts a new phenomenon: oblique wrinkles, which should appear in a large range of materials. Yet oblique wrinkles have not been seen experimentally so far on soft solids. Another issue raised was why are the predicted critical strains greater than the experimentally observed critical strains? We showed that this is likely due to a skin effect caused by dehydration. In Chapter 2 the effects of a stiffer skin on an elastic substrate on surface wrinkles was initially studied, and therein we also studied the