{"title":"On the subloading surface model for metals: some insights and an efficient numerical implementation","authors":"Theodore L. Chang","doi":"10.1007/s00707-025-04339-0","DOIUrl":null,"url":null,"abstract":"<div><p>In this work, we revisit the subloading surface model, as well as its extended version. By investigating its original formulation, we provide an alternative interpretation. With which, it is shown that the corresponding evolution rules of historic variables can be greatly simplified. The proposed evolution rules are analytically more concise and possess straightforward implications that can be easily illustrated while remain mathematically equivalent to the original ones. Based on the new proposal, an implicit numerical algorithm is presented. Compared to the previous implementation, the new algorithm is more efficient and robust. Additional insights regarding the unconventional (un)loading criterion and the specific form of some functions are also discussed.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 6","pages":"3695 - 3717"},"PeriodicalIF":2.9000,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-025-04339-0.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mechanica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00707-025-04339-0","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this work, we revisit the subloading surface model, as well as its extended version. By investigating its original formulation, we provide an alternative interpretation. With which, it is shown that the corresponding evolution rules of historic variables can be greatly simplified. The proposed evolution rules are analytically more concise and possess straightforward implications that can be easily illustrated while remain mathematically equivalent to the original ones. Based on the new proposal, an implicit numerical algorithm is presented. Compared to the previous implementation, the new algorithm is more efficient and robust. Additional insights regarding the unconventional (un)loading criterion and the specific form of some functions are also discussed.
期刊介绍：
Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.
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