{"title":"用无单元伽辽金法分析焊接残余应力的温度分布,并进行了实验验证","authors":"Ali Moarrefzadeh, Behzad Jabbaripour","doi":"10.1007/s00419-025-02905-5","DOIUrl":null,"url":null,"abstract":"<div><p>The welding processes generate residual stress in structures. Finite element methods are widely used to determine residual stresses, but this method has some problems due to the movement of the welding nozzle. In this research, numerical solution based on element-free Galerkin (EFG) method is extended to predict the temperature distribution and residual stresses due to welding. Thermal and mechanical analysis based on thermal-elastoplastic method is done in two stages. To reach the final nodal distribution, the shape and size of the support domain, influence domain size, different weight function and distance between nodes were studied. To validate the results, laser thermometer and the hole-drilling strain-gauge method have been used for the results of temperature field and residual stress, respectively. A good agreement has been obtained between the results of numerical solution and experimental methods, which indicates the accuracy of the presented formulation and the effectiveness of the parameters investigation method. Accordingly, a new application for the thermo-elastoplastic equation based on the EFG method to prediction of the temperature distribution and determination of residual stresses has been presented.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 8","pages":""},"PeriodicalIF":2.5000,"publicationDate":"2025-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Temperature distribution analysis and determination of residual stress due to welding using the element-free Galerkin method with experimental validation\",\"authors\":\"Ali Moarrefzadeh, Behzad Jabbaripour\",\"doi\":\"10.1007/s00419-025-02905-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The welding processes generate residual stress in structures. Finite element methods are widely used to determine residual stresses, but this method has some problems due to the movement of the welding nozzle. In this research, numerical solution based on element-free Galerkin (EFG) method is extended to predict the temperature distribution and residual stresses due to welding. Thermal and mechanical analysis based on thermal-elastoplastic method is done in two stages. To reach the final nodal distribution, the shape and size of the support domain, influence domain size, different weight function and distance between nodes were studied. To validate the results, laser thermometer and the hole-drilling strain-gauge method have been used for the results of temperature field and residual stress, respectively. A good agreement has been obtained between the results of numerical solution and experimental methods, which indicates the accuracy of the presented formulation and the effectiveness of the parameters investigation method. Accordingly, a new application for the thermo-elastoplastic equation based on the EFG method to prediction of the temperature distribution and determination of residual stresses has been presented.</p></div>\",\"PeriodicalId\":477,\"journal\":{\"name\":\"Archive of Applied Mechanics\",\"volume\":\"95 8\",\"pages\":\"\"},\"PeriodicalIF\":2.5000,\"publicationDate\":\"2025-08-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archive of Applied Mechanics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00419-025-02905-5\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archive of Applied Mechanics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00419-025-02905-5","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
Temperature distribution analysis and determination of residual stress due to welding using the element-free Galerkin method with experimental validation
The welding processes generate residual stress in structures. Finite element methods are widely used to determine residual stresses, but this method has some problems due to the movement of the welding nozzle. In this research, numerical solution based on element-free Galerkin (EFG) method is extended to predict the temperature distribution and residual stresses due to welding. Thermal and mechanical analysis based on thermal-elastoplastic method is done in two stages. To reach the final nodal distribution, the shape and size of the support domain, influence domain size, different weight function and distance between nodes were studied. To validate the results, laser thermometer and the hole-drilling strain-gauge method have been used for the results of temperature field and residual stress, respectively. A good agreement has been obtained between the results of numerical solution and experimental methods, which indicates the accuracy of the presented formulation and the effectiveness of the parameters investigation method. Accordingly, a new application for the thermo-elastoplastic equation based on the EFG method to prediction of the temperature distribution and determination of residual stresses has been presented.
期刊介绍:
Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.