{"title":"\"将体积增长问题表述为一个受制于非热力学和流变学约束的力学问题 \"增编","authors":"Alfio Grillo, Salvatore Di Stefano","doi":"10.1177/10812865231178291","DOIUrl":null,"url":null,"abstract":"In this work, we critically review some aspects of our own article “A formulation of volumetric growth as a mechanical problem subjected to non-holonomic and rheonomic constraint” [Mathematics and Mechanics of Solids, DOI: 10.1177/10812865231152228], which has been recently published in this journal. The reason for undertaking this critique is that, after exploring some fundamental literature, which was not included in our original paper, we have noticed that, if the “canonical doctrine” on non-holonomic and rheonomic constraints is followed, some of our conclusions should be partially rephrased, and the procedure adopted to obtain them can be shortened. In fact, some of the main results of our article, although remaining unaltered, can be retrieved in a more straightforward way, while some other results should be reconsidered, and some statements should be corrected. On the basis of these considerations, the scope of this work is to present the necessary amendments to our previous paper and to recast the core messages of our article, which remain valid, in an alternative form that is more concise and consistent with the standard theory of non-holonomic constraints.","PeriodicalId":502792,"journal":{"name":"Mathematics and Mechanics of Solids","volume":"80 1","pages":"62 - 70"},"PeriodicalIF":0.0000,"publicationDate":"2023-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Addendum to “A formulation of volumetric growth as a mechanical problem subjected to non-holonomic and rheonomic constraint”\",\"authors\":\"Alfio Grillo, Salvatore Di Stefano\",\"doi\":\"10.1177/10812865231178291\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, we critically review some aspects of our own article “A formulation of volumetric growth as a mechanical problem subjected to non-holonomic and rheonomic constraint” [Mathematics and Mechanics of Solids, DOI: 10.1177/10812865231152228], which has been recently published in this journal. The reason for undertaking this critique is that, after exploring some fundamental literature, which was not included in our original paper, we have noticed that, if the “canonical doctrine” on non-holonomic and rheonomic constraints is followed, some of our conclusions should be partially rephrased, and the procedure adopted to obtain them can be shortened. In fact, some of the main results of our article, although remaining unaltered, can be retrieved in a more straightforward way, while some other results should be reconsidered, and some statements should be corrected. On the basis of these considerations, the scope of this work is to present the necessary amendments to our previous paper and to recast the core messages of our article, which remain valid, in an alternative form that is more concise and consistent with the standard theory of non-holonomic constraints.\",\"PeriodicalId\":502792,\"journal\":{\"name\":\"Mathematics and Mechanics of Solids\",\"volume\":\"80 1\",\"pages\":\"62 - 70\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-07-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics and Mechanics of Solids\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1177/10812865231178291\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics and Mechanics of Solids","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1177/10812865231178291","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
在这项工作中,我们对自己最近在本期刊上发表的文章 "将体积增长表述为受非整体和流变约束的力学问题" [Mathematics and Mechanics of Solids, DOI: 10.1177/10812865231152228]的某些方面进行了批判性评论。之所以要进行这次批判,是因为在对我们最初的论文中没有包括的一些基础文献进行探讨后,我们注意到,如果遵循关于非整体约束和流变约束的 "经典学说",我们的一些结论应该部分地重新表述,而获得这些结论所采用的程序也可以缩短。事实上,我们文章中的一些主要结果虽然没有改动,但可以用更直接的方法来获取,而另一些结果则应重新考虑,一些说法应予以纠正。基于这些考虑,本文的工作范围是对我们之前的论文进行必要的修正,并以另一种更简洁、更符合非整体约束标准理论的形式,重新表述我们文章中仍然有效的核心信息。
Addendum to “A formulation of volumetric growth as a mechanical problem subjected to non-holonomic and rheonomic constraint”
In this work, we critically review some aspects of our own article “A formulation of volumetric growth as a mechanical problem subjected to non-holonomic and rheonomic constraint” [Mathematics and Mechanics of Solids, DOI: 10.1177/10812865231152228], which has been recently published in this journal. The reason for undertaking this critique is that, after exploring some fundamental literature, which was not included in our original paper, we have noticed that, if the “canonical doctrine” on non-holonomic and rheonomic constraints is followed, some of our conclusions should be partially rephrased, and the procedure adopted to obtain them can be shortened. In fact, some of the main results of our article, although remaining unaltered, can be retrieved in a more straightforward way, while some other results should be reconsidered, and some statements should be corrected. On the basis of these considerations, the scope of this work is to present the necessary amendments to our previous paper and to recast the core messages of our article, which remain valid, in an alternative form that is more concise and consistent with the standard theory of non-holonomic constraints.