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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Main Author: Bohua Sun
Format: Article
Language:English
Published: Elsevier 2014-01-01
Series:Results in Physics
Subjects:
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.
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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