{"title":"用解析演算和有限元法研究应力集中器的应力、位移和应变","authors":"B. Ojeda","doi":"10.53358/ideas.v1i1.21","DOIUrl":null,"url":null,"abstract":"A study of stresses, displacements, and strain, based on a classic solid mechanic’s model, specifically a plate with hole, around which a stresses concentration, is presented. For this purpose, the stresses analysis was carried out in a hole concentrator subjected to traction. The model's material was ASTM A36. The stresses were analytically calculated, through von Mises' theory. In addition, the analysis of the stresses using the finite element method (FEM) was carried out. Subsequently, displacements and unitary deformation were determined in the part. The results obtained report an error of 8.7% between the stresses of von Mises through analytical calculus and using the FEM.","PeriodicalId":169028,"journal":{"name":"INNOVATION & DEVELOPMENT IN ENGINEERING AND APPLIED SCIENCES","volume":"39 15","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A study of stress, displacements and strain in a stress concentrator using analytical calculus and Finite Element Method\",\"authors\":\"B. Ojeda\",\"doi\":\"10.53358/ideas.v1i1.21\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A study of stresses, displacements, and strain, based on a classic solid mechanic’s model, specifically a plate with hole, around which a stresses concentration, is presented. For this purpose, the stresses analysis was carried out in a hole concentrator subjected to traction. The model's material was ASTM A36. The stresses were analytically calculated, through von Mises' theory. In addition, the analysis of the stresses using the finite element method (FEM) was carried out. Subsequently, displacements and unitary deformation were determined in the part. The results obtained report an error of 8.7% between the stresses of von Mises through analytical calculus and using the FEM.\",\"PeriodicalId\":169028,\"journal\":{\"name\":\"INNOVATION & DEVELOPMENT IN ENGINEERING AND APPLIED SCIENCES\",\"volume\":\"39 15\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-06-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"INNOVATION & DEVELOPMENT IN ENGINEERING AND APPLIED SCIENCES\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.53358/ideas.v1i1.21\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"INNOVATION & DEVELOPMENT IN ENGINEERING AND APPLIED SCIENCES","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.53358/ideas.v1i1.21","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A study of stress, displacements and strain in a stress concentrator using analytical calculus and Finite Element Method
A study of stresses, displacements, and strain, based on a classic solid mechanic’s model, specifically a plate with hole, around which a stresses concentration, is presented. For this purpose, the stresses analysis was carried out in a hole concentrator subjected to traction. The model's material was ASTM A36. The stresses were analytically calculated, through von Mises' theory. In addition, the analysis of the stresses using the finite element method (FEM) was carried out. Subsequently, displacements and unitary deformation were determined in the part. The results obtained report an error of 8.7% between the stresses of von Mises through analytical calculus and using the FEM.
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