Analytical-numerical procedure to determine if a set of experimental curves can be superimposed to form a master curve

It is frequently encountered in polymers literature that a set of experimental curves can be translated along a given direction to form a master curve. One of the most known examples is the time-temperature superposition, where the translation is generally performed along the horizontal axis. The su...

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Autores principales: Hermida, Elida B., Povolo, F.
Formato: JOUR
Lenguaje:English
Materias:
Computer software
Graphic methods
Numerical methods
Shear stress
Stress relaxation
Viscoelasticity
Master curve
Scaling
Time temperature superposition
PolymersPB - Society of Polymer Science, JpnCP - Tokyo, Japan
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00323896_v26_n9_p981_Hermida
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00323896_v26_n9_p981_Hermida
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spelling todo:paper_00323896_v26_n9_p981_Hermida2023-10-03T14:45:16Z Analytical-numerical procedure to determine if a set of experimental curves can be superimposed to form a master curve Hermida, Elida B. Povolo, F. Computer software Graphic methods Numerical methods Shear stress Stress relaxation Viscoelasticity Master curve Scaling Time temperature superposition PolymersPB - Society of Polymer Science, JpnCP - Tokyo, Japan It is frequently encountered in polymers literature that a set of experimental curves can be translated along a given direction to form a master curve. One of the most known examples is the time-temperature superposition, where the translation is generally performed along the horizontal axis. The superposition of the different experimental curves is normally made graphically leading to some ambiguities in the construction of the master curve and in the determination of the translation paths. Starting from the analytical conditions to be satisfied by a set of curves which are related by a translation along a given direction, a computer programme is developed in order to get the master curve form a set of experimental data, when such a master curve is present. Finally, some examples of the applicability of the computer programme developed, for simulated storage shear compliance, viscosity against shear rate, and stress relaxation data are presented. Fil:Hermida, Elida B. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Povolo, F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR English info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00323896_v26_n9_p981_Hermida
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language English
orig_language_str_mv English
topic Computer software
Graphic methods
Numerical methods
Shear stress
Stress relaxation
Viscoelasticity
Master curve
Scaling
Time temperature superposition
PolymersPB - Society of Polymer Science, JpnCP - Tokyo, Japan
spellingShingle Computer software
Graphic methods
Numerical methods
Shear stress
Stress relaxation
Viscoelasticity
Master curve
Scaling
Time temperature superposition
PolymersPB - Society of Polymer Science, JpnCP - Tokyo, Japan
Hermida, Elida B.
Povolo, F.
Analytical-numerical procedure to determine if a set of experimental curves can be superimposed to form a master curve
topic_facet Computer software
Graphic methods
Numerical methods
Shear stress
Stress relaxation
Viscoelasticity
Master curve
Scaling
Time temperature superposition
PolymersPB - Society of Polymer Science, JpnCP - Tokyo, Japan
description It is frequently encountered in polymers literature that a set of experimental curves can be translated along a given direction to form a master curve. One of the most known examples is the time-temperature superposition, where the translation is generally performed along the horizontal axis. The superposition of the different experimental curves is normally made graphically leading to some ambiguities in the construction of the master curve and in the determination of the translation paths. Starting from the analytical conditions to be satisfied by a set of curves which are related by a translation along a given direction, a computer programme is developed in order to get the master curve form a set of experimental data, when such a master curve is present. Finally, some examples of the applicability of the computer programme developed, for simulated storage shear compliance, viscosity against shear rate, and stress relaxation data are presented.
format JOUR
author Hermida, Elida B.
Povolo, F.
author_facet Hermida, Elida B.
Povolo, F.
author_sort Hermida, Elida B.
title Analytical-numerical procedure to determine if a set of experimental curves can be superimposed to form a master curve
title_short Analytical-numerical procedure to determine if a set of experimental curves can be superimposed to form a master curve
title_full Analytical-numerical procedure to determine if a set of experimental curves can be superimposed to form a master curve
title_fullStr Analytical-numerical procedure to determine if a set of experimental curves can be superimposed to form a master curve
title_full_unstemmed Analytical-numerical procedure to determine if a set of experimental curves can be superimposed to form a master curve
title_sort analytical-numerical procedure to determine if a set of experimental curves can be superimposed to form a master curve
url http://hdl.handle.net/20.500.12110/paper_00323896_v26_n9_p981_Hermida
work_keys_str_mv AT hermidaelidab analyticalnumericalproceduretodetermineifasetofexperimentalcurvescanbesuperimposedtoformamastercurve
AT povolof analyticalnumericalproceduretodetermineifasetofexperimentalcurvescanbesuperimposedtoformamastercurve
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