{"title":"Utilization of the quadratic Hill yield function to model Ti-6Al-4V within multiplicative finite strain kinematics","authors":"Jakob Platen, Johannes Storm, Michael Kaliske","doi":"10.1016/j.ijengsci.2025.104268","DOIUrl":null,"url":null,"abstract":"<div><div>In the contribution at hand, the quadratic Hill yield function is extended to a finite strain, multiplicative kinematic framework. Furthermore, it is expanded by a novel combination of linear and exponential hardening. The formulation is derived in a consistent manner. Subsequently, the capabilities to model Ti-6Al-4V in a realistic manner are demonstrated, considering the anisotropy in plastic material behavior, which is induced by additive manufacturing. Therefore, different tensile tests from the literature are simulated, and a validation is carried out. Finally, the significance of the anisotropy is demonstrated in a numerical example. The maximal force obtained in the simulation is shown to be significantly different, if the building direction is considered.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"213 ","pages":"Article 104268"},"PeriodicalIF":5.7000,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Engineering Science","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0020722525000552","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
In the contribution at hand, the quadratic Hill yield function is extended to a finite strain, multiplicative kinematic framework. Furthermore, it is expanded by a novel combination of linear and exponential hardening. The formulation is derived in a consistent manner. Subsequently, the capabilities to model Ti-6Al-4V in a realistic manner are demonstrated, considering the anisotropy in plastic material behavior, which is induced by additive manufacturing. Therefore, different tensile tests from the literature are simulated, and a validation is carried out. Finally, the significance of the anisotropy is demonstrated in a numerical example. The maximal force obtained in the simulation is shown to be significantly different, if the building direction is considered.
期刊介绍:
The International Journal of Engineering Science is not limited to a specific aspect of science and engineering but is instead devoted to a wide range of subfields in the engineering sciences. While it encourages a broad spectrum of contribution in the engineering sciences, its core interest lies in issues concerning material modeling and response. Articles of interdisciplinary nature are particularly welcome.
The primary goal of the new editors is to maintain high quality of publications. There will be a commitment to expediting the time taken for the publication of the papers. The articles that are sent for reviews will have names of the authors deleted with a view towards enhancing the objectivity and fairness of the review process.
Articles that are devoted to the purely mathematical aspects without a discussion of the physical implications of the results or the consideration of specific examples are discouraged. Articles concerning material science should not be limited merely to a description and recording of observations but should contain theoretical or quantitative discussion of the results.