Mutual Reciprocal Interconnection of Relations Describing Creep, Yield Stress and Stress Relaxation

The steady-state creep rate increases with testing temperature according to the Arrhenius law and its increase with applied stress is usually described by the power law. Simple multiplication of these two laws leads to the dependence of steady-state creep rate on both the variables. Apparent activat...

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Main Authors: Jan Kohout, Vojtech Hruby
Format: Article
Language:English
Published: University of Žilina 2010-12-01
Series:Communications
Subjects:
Online Access:https://komunikacie.uniza.sk/artkey/csl-201004-0006_mutual-reciprocal-interconnection-of-relations-describing-creep-yield-stress-and-stress-relaxation.php
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author Jan Kohout
Vojtech Hruby
author_facet Jan Kohout
Vojtech Hruby
author_sort Jan Kohout
collection DOAJ
description The steady-state creep rate increases with testing temperature according to the Arrhenius law and its increase with applied stress is usually described by the power law. Simple multiplication of these two laws leads to the dependence of steady-state creep rate on both the variables. Apparent activation energy and stress sensitivity parameter perform in the combined law as constants but most measurements show their dependence on some of the variables. An equation respecting these experimental facts and simultaneously also based on the Arrhenius equation and the power law is derived and verified using some published results of creep tests. It can be presented geometrically by hyperbolic paraboloid. Resulting from this equation, the dependence of yield stress on temperature and strain rate and also an equation describing the relaxation curves are deduced.
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spelling doaj.art-6fa7951b672549a9bb7a8e5f58fe8bb02023-04-14T06:30:18ZengUniversity of ŽilinaCommunications1335-42052585-78782010-12-01124404410.26552/com.C.2010.4.40-44csl-201004-0006Mutual Reciprocal Interconnection of Relations Describing Creep, Yield Stress and Stress RelaxationJan Kohout0Vojtech Hruby1Department of Mathematics and Physics, Faculty of Military Technology, University of Defence, Brno, Czech RepublicDepartment of Mechanical Engineering, Faculty of Military Technology, University of Defence, Brno, Czech RepublicThe steady-state creep rate increases with testing temperature according to the Arrhenius law and its increase with applied stress is usually described by the power law. Simple multiplication of these two laws leads to the dependence of steady-state creep rate on both the variables. Apparent activation energy and stress sensitivity parameter perform in the combined law as constants but most measurements show their dependence on some of the variables. An equation respecting these experimental facts and simultaneously also based on the Arrhenius equation and the power law is derived and verified using some published results of creep tests. It can be presented geometrically by hyperbolic paraboloid. Resulting from this equation, the dependence of yield stress on temperature and strain rate and also an equation describing the relaxation curves are deduced.https://komunikacie.uniza.sk/artkey/csl-201004-0006_mutual-reciprocal-interconnection-of-relations-describing-creep-yield-stress-and-stress-relaxation.phpno keywords
spellingShingle Jan Kohout
Vojtech Hruby
Mutual Reciprocal Interconnection of Relations Describing Creep, Yield Stress and Stress Relaxation
Communications
no keywords
title Mutual Reciprocal Interconnection of Relations Describing Creep, Yield Stress and Stress Relaxation
title_full Mutual Reciprocal Interconnection of Relations Describing Creep, Yield Stress and Stress Relaxation
title_fullStr Mutual Reciprocal Interconnection of Relations Describing Creep, Yield Stress and Stress Relaxation
title_full_unstemmed Mutual Reciprocal Interconnection of Relations Describing Creep, Yield Stress and Stress Relaxation
title_short Mutual Reciprocal Interconnection of Relations Describing Creep, Yield Stress and Stress Relaxation
title_sort mutual reciprocal interconnection of relations describing creep yield stress and stress relaxation
topic no keywords
url https://komunikacie.uniza.sk/artkey/csl-201004-0006_mutual-reciprocal-interconnection-of-relations-describing-creep-yield-stress-and-stress-relaxation.php
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