{"title":"利用再现核粒子法研究镍钛形状记忆合金的弹性行为","authors":"Yijie Zhang, Gaofeng Wei, Tengda Liu","doi":"10.1177/03093247241232744","DOIUrl":null,"url":null,"abstract":"The unique superelastic properties of the Ni-Ti shape memory alloys (SMAs) have been found extensive practical application in many engineering fields, but the Ni-Ti SMAs exhibits elastic behavior in small load, so the elastic behavior of the Ni-Ti SMAs is studied by using meshless method of reproducing kernel particle method (RKPM) in this paper. The displacement boundary conditions are applied by utilizing the penalty function method, and the impact of penalty factor and parameter of influence domain on errors are discussed, and computational stability is analyzed. At last, the correctness of the RKPM in studying the elastic behavior of the Ni-Ti SMAs is evidenced by using three numerical examples.","PeriodicalId":517390,"journal":{"name":"The Journal of Strain Analysis for Engineering Design","volume":"22 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Research on elasticity behavior of Ni-Ti shape memory alloys using the reproducing kernel particle method\",\"authors\":\"Yijie Zhang, Gaofeng Wei, Tengda Liu\",\"doi\":\"10.1177/03093247241232744\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The unique superelastic properties of the Ni-Ti shape memory alloys (SMAs) have been found extensive practical application in many engineering fields, but the Ni-Ti SMAs exhibits elastic behavior in small load, so the elastic behavior of the Ni-Ti SMAs is studied by using meshless method of reproducing kernel particle method (RKPM) in this paper. The displacement boundary conditions are applied by utilizing the penalty function method, and the impact of penalty factor and parameter of influence domain on errors are discussed, and computational stability is analyzed. At last, the correctness of the RKPM in studying the elastic behavior of the Ni-Ti SMAs is evidenced by using three numerical examples.\",\"PeriodicalId\":517390,\"journal\":{\"name\":\"The Journal of Strain Analysis for Engineering Design\",\"volume\":\"22 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The Journal of Strain Analysis for Engineering Design\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1177/03093247241232744\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Journal of Strain Analysis for Engineering Design","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1177/03093247241232744","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
镍钛形状记忆合金（SMA）具有独特的超弹性特性，在许多工程领域得到了广泛的实际应用，但镍钛形状记忆合金在小载荷下表现出弹性行为，因此本文采用再现核粒子法（RKPM）的无网格方法研究了镍钛形状记忆合金的弹性行为。利用惩罚函数法应用位移边界条件，讨论了惩罚因子和影响域参数对误差的影响，并分析了计算的稳定性。最后，通过三个数值实例证明了 RKPM 在研究镍钛 SMA 弹性行为方面的正确性。
Research on elasticity behavior of Ni-Ti shape memory alloys using the reproducing kernel particle method
The unique superelastic properties of the Ni-Ti shape memory alloys (SMAs) have been found extensive practical application in many engineering fields, but the Ni-Ti SMAs exhibits elastic behavior in small load, so the elastic behavior of the Ni-Ti SMAs is studied by using meshless method of reproducing kernel particle method (RKPM) in this paper. The displacement boundary conditions are applied by utilizing the penalty function method, and the impact of penalty factor and parameter of influence domain on errors are discussed, and computational stability is analyzed. At last, the correctness of the RKPM in studying the elastic behavior of the Ni-Ti SMAs is evidenced by using three numerical examples.
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