Theory of Time-Temperature-Stress Equivalent Principle Based on Schapery Equation and Its Application on Granite
The time-temperature-stress equivalent (TTSE) principle refers to the phenomenon that the time-dependent mechanical properties of materials rely on the variations of temperature and stress level. Thus, it is reasonable to predict the long time material mechanical properties based on their relationsh...
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Kaunas University of Technology
2014-12-01
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doaj-f3ca7f4dd0af46a1a401efaba8479dca2020-11-25T01:50:34ZengKaunas University of TechnologyMedžiagotyra1392-13202029-72892014-12-0120452252810.5755/j01.ms.20.4.62943820Theory of Time-Temperature-Stress Equivalent Principle Based on Schapery Equation and Its Application on GraniteYuanguang ZHU0Quansheng LIU1Bin LIU2Jingdong JIANG3Institute of Rock and Soil MechanicsWuhan UniversityInstitute of Rock and Soil MechanicsWuhan UniversityThe time-temperature-stress equivalent (TTSE) principle refers to the phenomenon that the time-dependent mechanical properties of materials rely on the variations of temperature and stress level. Thus, it is reasonable to predict the long time material mechanical properties based on their relationships with rising temperatures and stress levels. According to the single-integral nonlinear constitutive equation proposed by Schapery, a general expression of the TTSE principle for nonlinear viscoelastic creep property is deduced. The specific expression for time-temperature-stress shift factor is presented by assuming quadratic polynomial form of the Doolittle formula for the viscosity as a function of free volume. Creep curves of granite at different temperatures and stress levels are introduced, and the validation of applying time-temperature-stress principle to predict the long time creep property of granite is provided. The master curves are generated through vertical shift modification and horizontal shift equivalence of all creep curves, and corresponding coefficients in the shift equations are determined by curve fittings. The results indicate the modified time-temperature-stress equivalent relation is appropriate to predict the long time creep property of granite. <p>DOI: <a href="http://dx.doi.org/10.5755/j01.ms.20.4.6294">http://dx.doi.org/10.5755/j01.ms.20.4.6294</a></p>http://matsc.ktu.lt/index.php/MatSc/article/view/6294time-temperature-stressshift factornonlinear creepgranite |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Yuanguang ZHU Quansheng LIU Bin LIU Jingdong JIANG |
spellingShingle |
Yuanguang ZHU Quansheng LIU Bin LIU Jingdong JIANG Theory of Time-Temperature-Stress Equivalent Principle Based on Schapery Equation and Its Application on Granite Medžiagotyra time-temperature-stress shift factor nonlinear creep granite |
author_facet |
Yuanguang ZHU Quansheng LIU Bin LIU Jingdong JIANG |
author_sort |
Yuanguang ZHU |
title |
Theory of Time-Temperature-Stress Equivalent Principle Based on Schapery Equation and Its Application on Granite |
title_short |
Theory of Time-Temperature-Stress Equivalent Principle Based on Schapery Equation and Its Application on Granite |
title_full |
Theory of Time-Temperature-Stress Equivalent Principle Based on Schapery Equation and Its Application on Granite |
title_fullStr |
Theory of Time-Temperature-Stress Equivalent Principle Based on Schapery Equation and Its Application on Granite |
title_full_unstemmed |
Theory of Time-Temperature-Stress Equivalent Principle Based on Schapery Equation and Its Application on Granite |
title_sort |
theory of time-temperature-stress equivalent principle based on schapery equation and its application on granite |
publisher |
Kaunas University of Technology |
series |
Medžiagotyra |
issn |
1392-1320 2029-7289 |
publishDate |
2014-12-01 |
description |
The time-temperature-stress equivalent (TTSE) principle refers to the phenomenon that the time-dependent mechanical properties of materials rely on the variations of temperature and stress level. Thus, it is reasonable to predict the long time material mechanical properties based on their relationships with rising temperatures and stress levels. According to the single-integral nonlinear constitutive equation proposed by Schapery, a general expression of the TTSE principle for nonlinear viscoelastic creep property is deduced. The specific expression for time-temperature-stress shift factor is presented by assuming quadratic polynomial form of the Doolittle formula for the viscosity as a function of free volume. Creep curves of granite at different temperatures and stress levels are introduced, and the validation of applying time-temperature-stress principle to predict the long time creep property of granite is provided. The master curves are generated through vertical shift modification and horizontal shift equivalence of all creep curves, and corresponding coefficients in the shift equations are determined by curve fittings. The results indicate the modified time-temperature-stress equivalent relation is appropriate to predict the long time creep property of granite. <p>DOI: <a href="http://dx.doi.org/10.5755/j01.ms.20.4.6294">http://dx.doi.org/10.5755/j01.ms.20.4.6294</a></p> |
topic |
time-temperature-stress shift factor nonlinear creep granite |
url |
http://matsc.ktu.lt/index.php/MatSc/article/view/6294 |
work_keys_str_mv |
AT yuanguangzhu theoryoftimetemperaturestressequivalentprinciplebasedonschaperyequationanditsapplicationongranite AT quanshengliu theoryoftimetemperaturestressequivalentprinciplebasedonschaperyequationanditsapplicationongranite AT binliu theoryoftimetemperaturestressequivalentprinciplebasedonschaperyequationanditsapplicationongranite AT jingdongjiang theoryoftimetemperaturestressequivalentprinciplebasedonschaperyequationanditsapplicationongranite |
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1725001134157856768 |