{"title":"Connections between the morphoelastic treatment of growth-induced instabilities and earlier hyperelastic treatments of buckling under thrust","authors":"T. Pence","doi":"10.1177/10812865231200242","DOIUrl":null,"url":null,"abstract":"In soft tissue, growth-induced instability is increasingly being viewed as a key agent in certain morphological developments, such as the folding of the cerebral cortex. As such, the study of growth-induced instability in the context of morphoelastic large deformation continuum mechanics is a burgeoning field of study. In this work, we examine some of the connections between these new developments and earlier work that can be viewed as the conventional—or no-growth—hyperelastic theory. By a systematic examination of a standard problem, certain direct correspondences are clarified which effectively permit results of a very general nature in the conventional theory to inform ongoing work in the morphoelastic theory.","PeriodicalId":49854,"journal":{"name":"Mathematics and Mechanics of Solids","volume":" 4","pages":""},"PeriodicalIF":1.7000,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics and Mechanics of Solids","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1177/10812865231200242","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
In soft tissue, growth-induced instability is increasingly being viewed as a key agent in certain morphological developments, such as the folding of the cerebral cortex. As such, the study of growth-induced instability in the context of morphoelastic large deformation continuum mechanics is a burgeoning field of study. In this work, we examine some of the connections between these new developments and earlier work that can be viewed as the conventional—or no-growth—hyperelastic theory. By a systematic examination of a standard problem, certain direct correspondences are clarified which effectively permit results of a very general nature in the conventional theory to inform ongoing work in the morphoelastic theory.
期刊介绍:
Mathematics and Mechanics of Solids is an international peer-reviewed journal that publishes the highest quality original innovative research in solid mechanics and materials science.
The central aim of MMS is to publish original, well-written and self-contained research that elucidates the mechanical behaviour of solids with particular emphasis on mathematical principles. This journal is a member of the Committee on Publication Ethics (COPE).