{"title":"Computational study of nanoindentation on an elastoplastic solid with an interface parallel to the indentation direction","authors":"Takashi Akatsu , Wataru Kubota , Yutaka Shinoda , Fumihiro Wakai","doi":"10.1016/j.ijsolstr.2026.113857","DOIUrl":null,"url":null,"abstract":"<div><div>Nanoindentation has been developed to map the local mechanical properties of heterogeneous solids. Although the local properties at the indentation site are required for mapping, the map resolution worsens because of the deformation of other components surrounding the indentation, such as the grains encompassing an indentation in heterogeneous polycrystals. To quantify the transitional change in a <em>P</em>-<em>h</em> curve with an increase in <em>h</em>, where <em>P</em> is the indentation load and <em>h</em> is the indentation penetration depth, this study proposes weight functions. These functions aim to quantify point-sharp nanoindentations on a circular column embedded in a matrix, which has an interface parallel to the indentation direction. The mechanical properties of the column can be accurately evaluated by extrapolating the weight functions to an indentation depth of zero, which improves the map resolution. When comparing the effects of the parallel and vertical interfaces, the impact of the vertical interface on the <em>P</em>-<em>h</em> curve is more significant than that of the parallel interface. This suggests that the correlation between the heterogeneity of local mechanical properties and the microstructure observed at the surface is controversial.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"329 ","pages":"Article 113857"},"PeriodicalIF":4.6000,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Solids and Structures","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0020768326000296","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2026/1/20 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
Nanoindentation has been developed to map the local mechanical properties of heterogeneous solids. Although the local properties at the indentation site are required for mapping, the map resolution worsens because of the deformation of other components surrounding the indentation, such as the grains encompassing an indentation in heterogeneous polycrystals. To quantify the transitional change in a P-h curve with an increase in h, where P is the indentation load and h is the indentation penetration depth, this study proposes weight functions. These functions aim to quantify point-sharp nanoindentations on a circular column embedded in a matrix, which has an interface parallel to the indentation direction. The mechanical properties of the column can be accurately evaluated by extrapolating the weight functions to an indentation depth of zero, which improves the map resolution. When comparing the effects of the parallel and vertical interfaces, the impact of the vertical interface on the P-h curve is more significant than that of the parallel interface. This suggests that the correlation between the heterogeneity of local mechanical properties and the microstructure observed at the surface is controversial.
期刊介绍:
The International Journal of Solids and Structures has as its objective the publication and dissemination of original research in Mechanics of Solids and Structures as a field of Applied Science and Engineering. It fosters thus the exchange of ideas among workers in different parts of the world and also among workers who emphasize different aspects of the foundations and applications of the field.
Standing as it does at the cross-roads of Materials Science, Life Sciences, Mathematics, Physics and Engineering Design, the Mechanics of Solids and Structures is experiencing considerable growth as a result of recent technological advances. The Journal, by providing an international medium of communication, is encouraging this growth and is encompassing all aspects of the field from the more classical problems of structural analysis to mechanics of solids continually interacting with other media and including fracture, flow, wave propagation, heat transfer, thermal effects in solids, optimum design methods, model analysis, structural topology and numerical techniques. Interest extends to both inorganic and organic solids and structures.