{"title":"对 M. Oore 和 S. Oore 的 \"无限弹性板中椭圆孔的直角坐标显式解法 \"的评论","authors":"Milan Batista","doi":"10.1177/10812865241276440","DOIUrl":null,"url":null,"abstract":"This comment discusses the derivation procedure of stress distribution formulas for an infinite elastic plate with an elliptic hole under uniform tension, as presented by M. Oore and S. Oore. While the authors use a heuristic three-step procedure, it is shown that these derivations can be simplified using Maple 2023 or manually. This confirms the exactness of the authors’ formulas, asserting their role as definitive closed-form solutions.","PeriodicalId":49854,"journal":{"name":"Mathematics and Mechanics of Solids","volume":"13 1","pages":""},"PeriodicalIF":1.7000,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Comment on “Explicit solutions in Cartesian coordinates for an elliptic hole in an infinite elastic plate” by M. Oore and S. Oore\",\"authors\":\"Milan Batista\",\"doi\":\"10.1177/10812865241276440\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This comment discusses the derivation procedure of stress distribution formulas for an infinite elastic plate with an elliptic hole under uniform tension, as presented by M. Oore and S. Oore. While the authors use a heuristic three-step procedure, it is shown that these derivations can be simplified using Maple 2023 or manually. This confirms the exactness of the authors’ formulas, asserting their role as definitive closed-form solutions.\",\"PeriodicalId\":49854,\"journal\":{\"name\":\"Mathematics and Mechanics of Solids\",\"volume\":\"13 1\",\"pages\":\"\"},\"PeriodicalIF\":1.7000,\"publicationDate\":\"2024-08-22\",\"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/10.1177/10812865241276440\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics and Mechanics of Solids","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1177/10812865241276440","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
摘要
本评论讨论了 M. Oore 和 S. Oore 提出的均匀拉伸下带椭圆孔的无限弹性板应力分布公式的推导过程。虽然作者使用了启发式的三步程序，但研究表明，这些推导可以使用 Maple 2023 或手动进行简化。这证实了作者公式的精确性，使其成为明确的闭式解。
Comment on “Explicit solutions in Cartesian coordinates for an elliptic hole in an infinite elastic plate” by M. Oore and S. Oore
This comment discusses the derivation procedure of stress distribution formulas for an infinite elastic plate with an elliptic hole under uniform tension, as presented by M. Oore and S. Oore. While the authors use a heuristic three-step procedure, it is shown that these derivations can be simplified using Maple 2023 or manually. This confirms the exactness of the authors’ formulas, asserting their role as definitive closed-form solutions.
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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).
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