Rational interpretation of the postulates in plasticity
This article is mainly focussed on revisited of the two well-known postulates of plasticity, i.e., the Drucker and the Il’iushin postulate, and it describes their rational interpretation within the framework of irreversible thermodynamics and using exterior calculus. It shows that the Il’iushin and...
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Format: | Article |
Language: | English |
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Elsevier
2014-01-01
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Series: | Results in Physics |
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Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379714000060 |
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author | Bohua Sun |
author_facet | Bohua Sun |
author_sort | Bohua Sun |
collection | DOAJ |
description | This article is mainly focussed on revisited of the two well-known postulates of plasticity, i.e., the Drucker and the Il’iushin postulate, and it describes their rational interpretation within the framework of irreversible thermodynamics and using exterior calculus. It shows that the Il’iushin and the Drucker postulate is the integral form and local form of the irreversible thermodynamics of plastic deformation, respectively. The Drucker and Il’iushin postulate is equivalent for both soft and hardening materials. |
first_indexed | 2024-12-16T08:20:51Z |
format | Article |
id | doaj.art-00db66f78e7e4f789de7b435e50d9463 |
institution | Directory Open Access Journal |
issn | 2211-3797 |
language | English |
last_indexed | 2024-12-16T08:20:51Z |
publishDate | 2014-01-01 |
publisher | Elsevier |
record_format | Article |
series | Results in Physics |
spelling | doaj.art-00db66f78e7e4f789de7b435e50d94632022-12-21T22:38:07ZengElsevierResults in Physics2211-37972014-01-014C101110.1016/j.rinp.2014.02.004Rational interpretation of the postulates in plasticityBohua SunThis article is mainly focussed on revisited of the two well-known postulates of plasticity, i.e., the Drucker and the Il’iushin postulate, and it describes their rational interpretation within the framework of irreversible thermodynamics and using exterior calculus. It shows that the Il’iushin and the Drucker postulate is the integral form and local form of the irreversible thermodynamics of plastic deformation, respectively. The Drucker and Il’iushin postulate is equivalent for both soft and hardening materials.http://www.sciencedirect.com/science/article/pii/S2211379714000060DuckersIl’iushinClausius–Duhem inequalityExterior calculusPoincaré Lemma |
spellingShingle | Bohua Sun Rational interpretation of the postulates in plasticity Results in Physics Duckers Il’iushin Clausius–Duhem inequality Exterior calculus Poincaré Lemma |
title | Rational interpretation of the postulates in plasticity |
title_full | Rational interpretation of the postulates in plasticity |
title_fullStr | Rational interpretation of the postulates in plasticity |
title_full_unstemmed | Rational interpretation of the postulates in plasticity |
title_short | Rational interpretation of the postulates in plasticity |
title_sort | rational interpretation of the postulates in plasticity |
topic | Duckers Il’iushin Clausius–Duhem inequality Exterior calculus Poincaré Lemma |
url | http://www.sciencedirect.com/science/article/pii/S2211379714000060 |
work_keys_str_mv | AT bohuasun rationalinterpretationofthepostulatesinplasticity |