{"title":"Cohesion moduli and higher-order elastic constants of fcc metals in the framework of anisotropic second strain-gradient theory","authors":"V. Bagherpour, M.R. Delfani","doi":"10.1016/j.euromechsol.2025.105884","DOIUrl":null,"url":null,"abstract":"<div><div>An anisotropic second strain-gradient theory can incorporate the structural asymmetry of crystalline solids into the description of the higher-order fluctuations in the elastic fields induced therein in response to mechanical loading. Such a theory is thus expected to provide a continuum-level description sufficiently close to the physical reality of solids. The price to be paid in return for this level of accuracy is the large number of elastic constants involved in this theory. Using the numerical values reported in a recently published paper [Bagherpour, V., & Delfani, M. R. (2024). <em>Eur. J. Mech. A/Solids</em>, 107:105377] for the characteristic lengths of a set of fcc metals within the framework of this theory, the numerical values of all their higher-order elastic constants and cohesion moduli are determined in this study. The determination of such elastic constants and cohesion moduli requires the simulation of the free-surface-induced reconstruction and shear loading of thin layers made of the fcc metals, which are carried out in this paper using the embedded-atom method. The results of these simulations are then compared to the corresponding analytical solutions, and the desired material parameters are calculated. Furthermore, the conditions for the positive definiteness of the strain-energy-density function involved in the adopted theory are derived, and subsequently it is discussed whether the elastic constants numerically determined herein for the fcc metals satisfy such conditions.</div></div>","PeriodicalId":50483,"journal":{"name":"European Journal of Mechanics A-Solids","volume":"116 ","pages":"Article 105884"},"PeriodicalIF":4.2000,"publicationDate":"2025-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"European Journal of Mechanics A-Solids","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0997753825003183","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
An anisotropic second strain-gradient theory can incorporate the structural asymmetry of crystalline solids into the description of the higher-order fluctuations in the elastic fields induced therein in response to mechanical loading. Such a theory is thus expected to provide a continuum-level description sufficiently close to the physical reality of solids. The price to be paid in return for this level of accuracy is the large number of elastic constants involved in this theory. Using the numerical values reported in a recently published paper [Bagherpour, V., & Delfani, M. R. (2024). Eur. J. Mech. A/Solids, 107:105377] for the characteristic lengths of a set of fcc metals within the framework of this theory, the numerical values of all their higher-order elastic constants and cohesion moduli are determined in this study. The determination of such elastic constants and cohesion moduli requires the simulation of the free-surface-induced reconstruction and shear loading of thin layers made of the fcc metals, which are carried out in this paper using the embedded-atom method. The results of these simulations are then compared to the corresponding analytical solutions, and the desired material parameters are calculated. Furthermore, the conditions for the positive definiteness of the strain-energy-density function involved in the adopted theory are derived, and subsequently it is discussed whether the elastic constants numerically determined herein for the fcc metals satisfy such conditions.
期刊介绍:
The European Journal of Mechanics endash; A/Solids continues to publish articles in English in all areas of Solid Mechanics from the physical and mathematical basis to materials engineering, technological applications and methods of modern computational mechanics, both pure and applied research.