{"title":"用于对称保全同质化和各向同性超材料的周期斜面单元\"[Mech. Res. Commun.","authors":"Giulio G. Giusteri , Raimondo Penta","doi":"10.1016/j.mechrescom.2024.104268","DOIUrl":null,"url":null,"abstract":"<div><p>We correct a mistake in the coefficients of a transformation matrix and accordingly update the subsequent calculations and the conclusions of our paper (Giusteri and Penta, 2022). We conclude that arrangements of spherical inclusions of isotropic materials in an isotropic matrix based on a rhomboidal cell that generates the Face-Centered Cubic lattice produce effectively isotropic composites if and only if an additional condition is satisfied. This condition entails the vanishing of a single component of the effective elasticity matrix. In spite of numerical evidence, we could not prove that this condition is always satisfied.</p></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":null,"pages":null},"PeriodicalIF":1.9000,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0093641324000284/pdfft?md5=1d854d220bc46d1f764b5e034b3a36c9&pid=1-s2.0-S0093641324000284-main.pdf","citationCount":"0","resultStr":"{\"title\":\"Corrigendum to “Periodic rhomboidal cells for symmetry-preserving homogenization and isotropic metamaterials” [Mech. Res. Commun. 126 (2022) 104001]\",\"authors\":\"Giulio G. Giusteri , Raimondo Penta\",\"doi\":\"10.1016/j.mechrescom.2024.104268\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We correct a mistake in the coefficients of a transformation matrix and accordingly update the subsequent calculations and the conclusions of our paper (Giusteri and Penta, 2022). We conclude that arrangements of spherical inclusions of isotropic materials in an isotropic matrix based on a rhomboidal cell that generates the Face-Centered Cubic lattice produce effectively isotropic composites if and only if an additional condition is satisfied. This condition entails the vanishing of a single component of the effective elasticity matrix. In spite of numerical evidence, we could not prove that this condition is always satisfied.</p></div>\",\"PeriodicalId\":49846,\"journal\":{\"name\":\"Mechanics Research Communications\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.9000,\"publicationDate\":\"2024-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S0093641324000284/pdfft?md5=1d854d220bc46d1f764b5e034b3a36c9&pid=1-s2.0-S0093641324000284-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mechanics Research Communications\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0093641324000284\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics Research Communications","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0093641324000284","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MECHANICS","Score":null,"Total":0}
Corrigendum to “Periodic rhomboidal cells for symmetry-preserving homogenization and isotropic metamaterials” [Mech. Res. Commun. 126 (2022) 104001]
We correct a mistake in the coefficients of a transformation matrix and accordingly update the subsequent calculations and the conclusions of our paper (Giusteri and Penta, 2022). We conclude that arrangements of spherical inclusions of isotropic materials in an isotropic matrix based on a rhomboidal cell that generates the Face-Centered Cubic lattice produce effectively isotropic composites if and only if an additional condition is satisfied. This condition entails the vanishing of a single component of the effective elasticity matrix. In spite of numerical evidence, we could not prove that this condition is always satisfied.
期刊介绍:
Mechanics Research Communications publishes, as rapidly as possible, peer-reviewed manuscripts of high standards but restricted length. It aims to provide:
• a fast means of communication
• an exchange of ideas among workers in mechanics
• an effective method of bringing new results quickly to the public
• an informal vehicle for the discussion
• of ideas that may still be in the formative stages
The field of Mechanics will be understood to encompass the behavior of continua, fluids, solids, particles and their mixtures. Submissions must contain a strong, novel contribution to the field of mechanics, and ideally should be focused on current issues in the field involving theoretical, experimental and/or applied research, preferably within the broad expertise encompassed by the Board of Associate Editors. Deviations from these areas should be discussed in advance with the Editor-in-Chief.