Phenomenological description of strain rate and temperature‐dependent yield stress of PMMA

A constitutive equation to describe the yield behavior of poly(methyl methacrylate (PMMA) is useful not only from the technological point of view, but also for the comprehension of the nonlinear mechanisms acting in the material. In both compression and tension, the yield stress is usually represent...

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Autores principales: Povolo, F., Hermida, É.B.
Formato: JOUR
Materias:
Activation energy
Enthalpy
Mathematical models
Molecules
Strain rate
Stresses
Temperature
Yield stress
Activation volume
Internal stress
Potential energy
Polymethyl methacrylates
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00218995_v58_n1_p55_Povolo
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_00218995_v58_n1_p55_Povolo2023-10-03T14:22:29Z Phenomenological description of strain rate and temperature‐dependent yield stress of PMMA Povolo, F. Hermida, É.B. Activation energy Enthalpy Mathematical models Molecules Strain rate Stresses Temperature Yield stress Activation volume Internal stress Potential energy Polymethyl methacrylates A constitutive equation to describe the yield behavior of poly(methyl methacrylate (PMMA) is useful not only from the technological point of view, but also for the comprehension of the nonlinear mechanisms acting in the material. In both compression and tension, the yield stress is usually represented as a function of the strain rate at different temperatures. In PMMA and other glassy polymers these curves are related by scaling, that is, they can be matched to form a master curve. Particularly in PMMA the temperature and strain rate dependence of the master curve has been characterized by two different models. The first involves two thermally activated rate processes, one acting only at high strain rates. The second model interprets the yield process as a cooperative movement of several independent structural units, all with the same activation energy. In this article it is demonstrated that only the second phenomenological model is correct because it provides a good fit to the master curve of PMMA both in compression and tension, and verifies the properties of a set of curves related by scaling. Moreover, it is pointed out that the first model leads to severe inconsistencies because it does not consider the nonlinear behavior of PMMA. Finally, the physical parameters obtained (internal stress, activation volume, and enthalpy) are compared with those given in the literature. © 1995 John Wiley & Sons, Inc. Copyright © 1995 John Wiley & Sons, Inc. Fil:Povolo, F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Hermida, É.B. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00218995_v58_n1_p55_Povolo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Activation energy
Enthalpy
Mathematical models
Molecules
Strain rate
Stresses
Temperature
Yield stress
Activation volume
Internal stress
Potential energy
Polymethyl methacrylates
spellingShingle Activation energy
Enthalpy
Mathematical models
Molecules
Strain rate
Stresses
Temperature
Yield stress
Activation volume
Internal stress
Potential energy
Polymethyl methacrylates
Povolo, F.
Hermida, É.B.
Phenomenological description of strain rate and temperature‐dependent yield stress of PMMA
topic_facet Activation energy
Enthalpy
Mathematical models
Molecules
Strain rate
Stresses
Temperature
Yield stress
Activation volume
Internal stress
Potential energy
Polymethyl methacrylates
description A constitutive equation to describe the yield behavior of poly(methyl methacrylate (PMMA) is useful not only from the technological point of view, but also for the comprehension of the nonlinear mechanisms acting in the material. In both compression and tension, the yield stress is usually represented as a function of the strain rate at different temperatures. In PMMA and other glassy polymers these curves are related by scaling, that is, they can be matched to form a master curve. Particularly in PMMA the temperature and strain rate dependence of the master curve has been characterized by two different models. The first involves two thermally activated rate processes, one acting only at high strain rates. The second model interprets the yield process as a cooperative movement of several independent structural units, all with the same activation energy. In this article it is demonstrated that only the second phenomenological model is correct because it provides a good fit to the master curve of PMMA both in compression and tension, and verifies the properties of a set of curves related by scaling. Moreover, it is pointed out that the first model leads to severe inconsistencies because it does not consider the nonlinear behavior of PMMA. Finally, the physical parameters obtained (internal stress, activation volume, and enthalpy) are compared with those given in the literature. © 1995 John Wiley & Sons, Inc. Copyright © 1995 John Wiley & Sons, Inc.
format JOUR
author Povolo, F.
Hermida, É.B.
author_facet Povolo, F.
Hermida, É.B.
author_sort Povolo, F.
title Phenomenological description of strain rate and temperature‐dependent yield stress of PMMA
title_short Phenomenological description of strain rate and temperature‐dependent yield stress of PMMA
title_full Phenomenological description of strain rate and temperature‐dependent yield stress of PMMA
title_fullStr Phenomenological description of strain rate and temperature‐dependent yield stress of PMMA
title_full_unstemmed Phenomenological description of strain rate and temperature‐dependent yield stress of PMMA
title_sort phenomenological description of strain rate and temperature‐dependent yield stress of pmma
url http://hdl.handle.net/20.500.12110/paper_00218995_v58_n1_p55_Povolo
work_keys_str_mv AT povolof phenomenologicaldescriptionofstrainrateandtemperaturedependentyieldstressofpmma
AT hermidaeb phenomenologicaldescriptionofstrainrateandtemperaturedependentyieldstressofpmma
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