Necking in the tensile test. Correction formulae and related error estimation
This paper deals with analytical modelling of the classical tensile test which is still considered as one of the main experimental procedures to determine the flow curve of elasto-plastic materials. Together with numerical simulation of the deformation process, it allows us to estimate the accuracy...
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| Format: | Article |
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Polish Academy of Sciences
2007
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| author | Gromada, M. Mishuris, Gennady Ochsner, A. |
| author_facet | Gromada, M. Mishuris, Gennady Ochsner, A. |
| author_sort | Gromada, M. |
| collection | ePrints |
| description | This paper deals with analytical modelling of the classical tensile test which is still considered as one of the main experimental procedures to determine the flow curve of elasto-plastic materials. Together with numerical simulation of the deformation process, it allows us to estimate the accuracy of the well-known classical formulae when they are used to evaluate the experimental data under stage of the neck formation. For this aim, errors related with the application of each individual simplifying assumption on the value of the average normalised axial stress were analysed. From critical analysis of one of the assumptions (curvature radius formulae of the longitudinal stress trajectory), a new empirical formula has been derived. It depends on the same measured parameters, however, leads to higher accuracy than any of the classical formulae. In addition, a new formula obtained from analytical investigation, i.e. in Lagrange approach, is discussed.
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| first_indexed | 2024-03-05T18:06:52Z |
| format | Article |
| id | utm.eprints-5528 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T18:06:52Z |
| publishDate | 2007 |
| publisher | Polish Academy of Sciences |
| record_format | dspace |
| spelling | utm.eprints-55282008-05-14T03:35:47Z http://eprints.utm.my/5528/ Necking in the tensile test. Correction formulae and related error estimation Gromada, M. Mishuris, Gennady Ochsner, A. TJ Mechanical engineering and machinery This paper deals with analytical modelling of the classical tensile test which is still considered as one of the main experimental procedures to determine the flow curve of elasto-plastic materials. Together with numerical simulation of the deformation process, it allows us to estimate the accuracy of the well-known classical formulae when they are used to evaluate the experimental data under stage of the neck formation. For this aim, errors related with the application of each individual simplifying assumption on the value of the average normalised axial stress were analysed. From critical analysis of one of the assumptions (curvature radius formulae of the longitudinal stress trajectory), a new empirical formula has been derived. It depends on the same measured parameters, however, leads to higher accuracy than any of the classical formulae. In addition, a new formula obtained from analytical investigation, i.e. in Lagrange approach, is discussed. Polish Academy of Sciences 2007 Article PeerReviewed Gromada, M. and Mishuris, Gennady and Ochsner, A. (2007) Necking in the tensile test. Correction formulae and related error estimation. Archives of Metallurgy and Materials , 52 (2). pp. 231-238. ISSN 1733-3490 http://www.imim.pl/fileadmin/archiwum/Vol2_2007/a9.pdf |
| spellingShingle | TJ Mechanical engineering and machinery Gromada, M. Mishuris, Gennady Ochsner, A. Necking in the tensile test. Correction formulae and related error estimation |
| title | Necking in the tensile test. Correction formulae and related error estimation |
| title_full | Necking in the tensile test. Correction formulae and related error estimation |
| title_fullStr | Necking in the tensile test. Correction formulae and related error estimation |
| title_full_unstemmed | Necking in the tensile test. Correction formulae and related error estimation |
| title_short | Necking in the tensile test. Correction formulae and related error estimation |
| title_sort | necking in the tensile test correction formulae and related error estimation |
| topic | TJ Mechanical engineering and machinery |
| work_keys_str_mv | AT gromadam neckinginthetensiletestcorrectionformulaeandrelatederrorestimation AT mishurisgennady neckinginthetensiletestcorrectionformulaeandrelatederrorestimation AT ochsnera neckinginthetensiletestcorrectionformulaeandrelatederrorestimation |