Proposal of pseudo spin and its application to simple shear
The rotation of a deforming body is usually evaluated using the antisymmetric tensor W (W-spin) constructed from displacement incremental gradient tensor L. On the analysis (Nagtegaal and de Jong, 1982) in which W-spin was applied to the torsion test of a circular tube, the phenomenon appeared where...
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| Format: | Article |
| Language: | Japanese |
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The Japan Society of Mechanical Engineers
2020-07-01
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| Series: | Nihon Kikai Gakkai ronbunshu |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/transjsme/86/888/86_20-00114/_pdf/-char/en |
| _version_ | 1797989085858496512 |
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| author | Hitoshi MORITOKI |
| author_facet | Hitoshi MORITOKI |
| author_sort | Hitoshi MORITOKI |
| collection | DOAJ |
| description | The rotation of a deforming body is usually evaluated using the antisymmetric tensor W (W-spin) constructed from displacement incremental gradient tensor L. On the analysis (Nagtegaal and de Jong, 1982) in which W-spin was applied to the torsion test of a circular tube, the phenomenon appeared where the stress was oscillating. Various studies have been made to find out the cause of the oscillating, but it hasn’t yet been obtained sufficiently. In-plane rotation of a line element on a coordinate plane depends on its orientation. The W-spin represents the average value of the rotation, but does not always correspond to the in-plane rotation of the coordinate axes. Then, taking place of W-spin, in this paper we used pseudo spin which takes especially the in-plane rotation of coordinate axes into consideration, and applied to the torsion test. The oscillating of the stress value was completely disappeared. |
| first_indexed | 2024-04-11T08:14:39Z |
| format | Article |
| id | doaj.art-40d9a5a53d73451fad7b8ee974da8974 |
| institution | Directory Open Access Journal |
| issn | 2187-9761 |
| language | Japanese |
| last_indexed | 2024-04-11T08:14:39Z |
| publishDate | 2020-07-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Nihon Kikai Gakkai ronbunshu |
| spelling | doaj.art-40d9a5a53d73451fad7b8ee974da89742022-12-22T04:35:12ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612020-07-018688820-0011420-0011410.1299/transjsme.20-00114transjsmeProposal of pseudo spin and its application to simple shearHitoshi MORITOKIThe rotation of a deforming body is usually evaluated using the antisymmetric tensor W (W-spin) constructed from displacement incremental gradient tensor L. On the analysis (Nagtegaal and de Jong, 1982) in which W-spin was applied to the torsion test of a circular tube, the phenomenon appeared where the stress was oscillating. Various studies have been made to find out the cause of the oscillating, but it hasn’t yet been obtained sufficiently. In-plane rotation of a line element on a coordinate plane depends on its orientation. The W-spin represents the average value of the rotation, but does not always correspond to the in-plane rotation of the coordinate axes. Then, taking place of W-spin, in this paper we used pseudo spin which takes especially the in-plane rotation of coordinate axes into consideration, and applied to the torsion test. The oscillating of the stress value was completely disappeared.https://www.jstage.jst.go.jp/article/transjsme/86/888/86_20-00114/_pdf/-char/enplasiticityspinspin tensorsimple sheartorsion test |
| spellingShingle | Hitoshi MORITOKI Proposal of pseudo spin and its application to simple shear Nihon Kikai Gakkai ronbunshu plasiticity spin spin tensor simple shear torsion test |
| title | Proposal of pseudo spin and its application to simple shear |
| title_full | Proposal of pseudo spin and its application to simple shear |
| title_fullStr | Proposal of pseudo spin and its application to simple shear |
| title_full_unstemmed | Proposal of pseudo spin and its application to simple shear |
| title_short | Proposal of pseudo spin and its application to simple shear |
| title_sort | proposal of pseudo spin and its application to simple shear |
| topic | plasiticity spin spin tensor simple shear torsion test |
| url | https://www.jstage.jst.go.jp/article/transjsme/86/888/86_20-00114/_pdf/-char/en |
| work_keys_str_mv | AT hitoshimoritoki proposalofpseudospinanditsapplicationtosimpleshear |