{"title":"多轴载荷作用下体心立方和八晶格结构屈服面的均匀化","authors":"Zhi Chen, Dan Mordehai","doi":"10.1016/j.ijsolstr.2025.113486","DOIUrl":null,"url":null,"abstract":"<div><div>Lattice structures are gaining increasing popularity, owing to their superior mechanical properties per weight. Modelling these structures is computationally demanding, and homogenizing their mechanical response is a promising approach to model porous materials. While attention is paid to the elastic response, the yield surface is less discussed, especially in multiaxial loading conditions. In this study, we consider body-centered cubic (BCC) and octet lattice structures as two representative structures, and explore yield criteria for a homogenized model. We use finite element modelling (FEM) to simulate lattices under various loading conditions: uniaxial compression, simple shearing, proportional biaxial and triaxial loadings, and define the yield states based on the principle of equivalent plastic work. Both BCC and octet structures obey anisotropic yielding, while BCC is stronger in shearing than in compression direction, making it more anisotropic. We explore different homogenized yield criteria and find that Liu–Huang–Stout yield criterion, with unsigned mean stress term, is the most comparable to the simulation results. This model, which is anisotropic and considers a linear dependence of mean stress, was found to be the best candidate to describe the multiaxial plastic behavior of lattice structures.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113486"},"PeriodicalIF":3.8000,"publicationDate":"2025-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Homogenization of the yield surface of body-centered cubic and octet lattice structures under multiaxial loadings\",\"authors\":\"Zhi Chen, Dan Mordehai\",\"doi\":\"10.1016/j.ijsolstr.2025.113486\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Lattice structures are gaining increasing popularity, owing to their superior mechanical properties per weight. Modelling these structures is computationally demanding, and homogenizing their mechanical response is a promising approach to model porous materials. While attention is paid to the elastic response, the yield surface is less discussed, especially in multiaxial loading conditions. In this study, we consider body-centered cubic (BCC) and octet lattice structures as two representative structures, and explore yield criteria for a homogenized model. We use finite element modelling (FEM) to simulate lattices under various loading conditions: uniaxial compression, simple shearing, proportional biaxial and triaxial loadings, and define the yield states based on the principle of equivalent plastic work. Both BCC and octet structures obey anisotropic yielding, while BCC is stronger in shearing than in compression direction, making it more anisotropic. We explore different homogenized yield criteria and find that Liu–Huang–Stout yield criterion, with unsigned mean stress term, is the most comparable to the simulation results. This model, which is anisotropic and considers a linear dependence of mean stress, was found to be the best candidate to describe the multiaxial plastic behavior of lattice structures.</div></div>\",\"PeriodicalId\":14311,\"journal\":{\"name\":\"International Journal of Solids and Structures\",\"volume\":\"320 \",\"pages\":\"Article 113486\"},\"PeriodicalIF\":3.8000,\"publicationDate\":\"2025-05-26\",\"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/S0020768325002720\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Solids and Structures","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0020768325002720","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MECHANICS","Score":null,"Total":0}
Homogenization of the yield surface of body-centered cubic and octet lattice structures under multiaxial loadings
Lattice structures are gaining increasing popularity, owing to their superior mechanical properties per weight. Modelling these structures is computationally demanding, and homogenizing their mechanical response is a promising approach to model porous materials. While attention is paid to the elastic response, the yield surface is less discussed, especially in multiaxial loading conditions. In this study, we consider body-centered cubic (BCC) and octet lattice structures as two representative structures, and explore yield criteria for a homogenized model. We use finite element modelling (FEM) to simulate lattices under various loading conditions: uniaxial compression, simple shearing, proportional biaxial and triaxial loadings, and define the yield states based on the principle of equivalent plastic work. Both BCC and octet structures obey anisotropic yielding, while BCC is stronger in shearing than in compression direction, making it more anisotropic. We explore different homogenized yield criteria and find that Liu–Huang–Stout yield criterion, with unsigned mean stress term, is the most comparable to the simulation results. This model, which is anisotropic and considers a linear dependence of mean stress, was found to be the best candidate to describe the multiaxial plastic behavior of lattice structures.
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.