On the essential concept of objectivity in plasticity analysis
For judging whether two stresses maintain objectivity between different frames, appropriate criterion needs to be used. The criterion, c*u= cu・Q: Σ*= QT・Σ・Q has been normally used, but it was found that it did not have the ability to judge the essence of objectivity. Getting over the deadlock for ju...
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| Format: | Article |
| Language: | Japanese |
| Published: |
The Japan Society of Mechanical Engineers
2020-10-01
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| Series: | Nihon Kikai Gakkai ronbunshu |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/transjsme/86/891/86_20-00277/_pdf/-char/en |
| _version_ | 1811308674198536192 |
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| author | Hitoshi MORITOKI |
| author_facet | Hitoshi MORITOKI |
| author_sort | Hitoshi MORITOKI |
| collection | DOAJ |
| description | For judging whether two stresses maintain objectivity between different frames, appropriate criterion needs to be used. The criterion, c*u= cu・Q: Σ*= QT・Σ・Q has been normally used, but it was found that it did not have the ability to judge the essence of objectivity. Getting over the deadlock for judging quality of objectivity, the comparison of stress values is indispensable between frames under an identical stress tensor. As a result of examining the difference of stress values, the essential criterion for objectivity σCpq=σBpq+DMσBpq, DσCpq=DσBpq was given. It is shown that Jaumann stress increments DJσpq is not recognized as an objectivity stress increment. Even in such an environment, there are some proposals that DJσpq should be replaced instead of Dσpq in constitutive equations. Then, the spin included in DJσpq gives stress a fluctuation depending on the induced spin, which was presented in this manuscript. |
| first_indexed | 2024-04-13T09:27:29Z |
| format | Article |
| id | doaj.art-28536acbcd4c4bacb9fd775b37c271f8 |
| institution | Directory Open Access Journal |
| issn | 2187-9761 |
| language | Japanese |
| last_indexed | 2024-04-13T09:27:29Z |
| publishDate | 2020-10-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Nihon Kikai Gakkai ronbunshu |
| spelling | doaj.art-28536acbcd4c4bacb9fd775b37c271f82022-12-22T02:52:22ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612020-10-018689120-0027720-0027710.1299/transjsme.20-00277transjsmeOn the essential concept of objectivity in plasticity analysisHitoshi MORITOKIFor judging whether two stresses maintain objectivity between different frames, appropriate criterion needs to be used. The criterion, c*u= cu・Q: Σ*= QT・Σ・Q has been normally used, but it was found that it did not have the ability to judge the essence of objectivity. Getting over the deadlock for judging quality of objectivity, the comparison of stress values is indispensable between frames under an identical stress tensor. As a result of examining the difference of stress values, the essential criterion for objectivity σCpq=σBpq+DMσBpq, DσCpq=DσBpq was given. It is shown that Jaumann stress increments DJσpq is not recognized as an objectivity stress increment. Even in such an environment, there are some proposals that DJσpq should be replaced instead of Dσpq in constitutive equations. Then, the spin included in DJσpq gives stress a fluctuation depending on the induced spin, which was presented in this manuscript.https://www.jstage.jst.go.jp/article/transjsme/86/891/86_20-00277/_pdf/-char/enplasiticityspinspin tensorobjectivity |
| spellingShingle | Hitoshi MORITOKI On the essential concept of objectivity in plasticity analysis Nihon Kikai Gakkai ronbunshu plasiticity spin spin tensor objectivity |
| title | On the essential concept of objectivity in plasticity analysis |
| title_full | On the essential concept of objectivity in plasticity analysis |
| title_fullStr | On the essential concept of objectivity in plasticity analysis |
| title_full_unstemmed | On the essential concept of objectivity in plasticity analysis |
| title_short | On the essential concept of objectivity in plasticity analysis |
| title_sort | on the essential concept of objectivity in plasticity analysis |
| topic | plasiticity spin spin tensor objectivity |
| url | https://www.jstage.jst.go.jp/article/transjsme/86/891/86_20-00277/_pdf/-char/en |
| work_keys_str_mv | AT hitoshimoritoki ontheessentialconceptofobjectivityinplasticityanalysis |