Viscoelastic model with complex rheological behavior (VisCoR): incremental formulation

A thermo-rheologically complex linear viscoelastic material model, accounting for temperature and degree of cure (DoC), is developed starting with series expansion of the Helmholtz free energy and systematically implementing simplifying assumptions regarding the material behavior. In addition to the...

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Autores principales:	Sibin Saseendran, Daniel Berglund, Janis Varna
Formato:	article
Lenguaje:	EN
Publicado:	Taylor & Francis Group 2020
Materias:	process modeling viscoelasticity thermo-rheological complexity shift factors Polymers and polymer manufacture TP1080-1185 Automation T59.5
Acceso en línea:	https://doaj.org/article/39b6ee3dad8440839d044be5e24e34df
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spelling	oai:doaj.org-article:39b6ee3dad8440839d044be5e24e34df2021-12-02T06:40:46ZViscoelastic model with complex rheological behavior (VisCoR): incremental formulation2055-035910.1080/20550340.2019.1709010https://doaj.org/article/39b6ee3dad8440839d044be5e24e34df2020-01-01T00:00:00Zhttp://dx.doi.org/10.1080/20550340.2019.1709010https://doaj.org/toc/2055-0359A thermo-rheologically complex linear viscoelastic material model, accounting for temperature and degree of cure (DoC), is developed starting with series expansion of the Helmholtz free energy and systematically implementing simplifying assumptions regarding the material behavior. In addition to the temperature and DoC dependent shift factor present in rheologically simple models, the derived novel model contains three cure and temperature dependent functions. The first function is identified as the rubbery modulus. The second is a weight factor to the transient integral term in the model and reflects the current temperature and cure state, whereas the third function is under the sign of the convolution integral, thus affecting the “memory” of the material. An incremental form of this model is presented which, due to improved approximation inside the time increment, has better numerical convergence than most of the similar forms. Parametric analysis is performed simulating stress development in a polymer, geometrically constrained in the mold during curing and cool-down. The importance of using proper viscoelastic model is shown, and the role of parameters in the model is revealed and discussed.Sibin SaseendranDaniel BerglundJanis VarnaTaylor & Francis Grouparticleprocess modelingviscoelasticitythermo-rheological complexityshift factorsPolymers and polymer manufactureTP1080-1185AutomationT59.5ENAdvanced Manufacturing: Polymer & Composites Science, Vol 6, Iss 1, Pp 1-16 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	process modeling viscoelasticity thermo-rheological complexity shift factors Polymers and polymer manufacture TP1080-1185 Automation T59.5
spellingShingle	process modeling viscoelasticity thermo-rheological complexity shift factors Polymers and polymer manufacture TP1080-1185 Automation T59.5 Sibin Saseendran Daniel Berglund Janis Varna Viscoelastic model with complex rheological behavior (VisCoR): incremental formulation
description	A thermo-rheologically complex linear viscoelastic material model, accounting for temperature and degree of cure (DoC), is developed starting with series expansion of the Helmholtz free energy and systematically implementing simplifying assumptions regarding the material behavior. In addition to the temperature and DoC dependent shift factor present in rheologically simple models, the derived novel model contains three cure and temperature dependent functions. The first function is identified as the rubbery modulus. The second is a weight factor to the transient integral term in the model and reflects the current temperature and cure state, whereas the third function is under the sign of the convolution integral, thus affecting the “memory” of the material. An incremental form of this model is presented which, due to improved approximation inside the time increment, has better numerical convergence than most of the similar forms. Parametric analysis is performed simulating stress development in a polymer, geometrically constrained in the mold during curing and cool-down. The importance of using proper viscoelastic model is shown, and the role of parameters in the model is revealed and discussed.
format	article
author	Sibin Saseendran Daniel Berglund Janis Varna
author_facet	Sibin Saseendran Daniel Berglund Janis Varna
author_sort	Sibin Saseendran
title	Viscoelastic model with complex rheological behavior (VisCoR): incremental formulation
title_short	Viscoelastic model with complex rheological behavior (VisCoR): incremental formulation
title_full	Viscoelastic model with complex rheological behavior (VisCoR): incremental formulation
title_fullStr	Viscoelastic model with complex rheological behavior (VisCoR): incremental formulation
title_full_unstemmed	Viscoelastic model with complex rheological behavior (VisCoR): incremental formulation
title_sort	viscoelastic model with complex rheological behavior (viscor): incremental formulation
publisher	Taylor & Francis Group
publishDate	2020
url	https://doaj.org/article/39b6ee3dad8440839d044be5e24e34df
work_keys_str_mv	AT sibinsaseendran viscoelasticmodelwithcomplexrheologicalbehaviorviscorincrementalformulation AT danielberglund viscoelasticmodelwithcomplexrheologicalbehaviorviscorincrementalformulation AT janisvarna viscoelasticmodelwithcomplexrheologicalbehaviorviscorincrementalformulation
_version_	1718399748375838720

Viscoelastic model with complex rheological behavior (VisCoR): incremental formulation

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