Numerical Simulation of Flame Retardant Polymers Using a Combined Eulerian–Lagrangian Finite Element Formulation

Many polymer-made objects show a trend of melting and dripping in fire, a behavior that may be modified by adding flame retardants (FRs). These affect materials properties, e.g., heat absorption and viscosity. In this paper, the effect of a flame retardant on the fire behavior of polymers in the UL...

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Main Authors: Julio Marti, Jimena de la Vega, De-Yi Wang, Eugenio Oñate
Format: Article
Language:English
Published: MDPI AG 2021-06-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/11/13/5952
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author Julio Marti
Jimena de la Vega
De-Yi Wang
Eugenio Oñate
author_facet Julio Marti
Jimena de la Vega
De-Yi Wang
Eugenio Oñate
author_sort Julio Marti
collection DOAJ
description Many polymer-made objects show a trend of melting and dripping in fire, a behavior that may be modified by adding flame retardants (FRs). These affect materials properties, e.g., heat absorption and viscosity. In this paper, the effect of a flame retardant on the fire behavior of polymers in the UL 94 scenario is studied. This goal is achieved essentially by applying a new computational strategy that combines the particle finite element method for the polymer with an Eulerian formulation for air. The sample selected is a polypropylene (PP) with magnesium hydroxide at 30 wt.%. For modelling, values of density, conductivity, specific heat, viscosity, and Arrhenius coefficients are obtained from different literature sources, and experimental characterization is performed. However, to alleviate the missing viscosity at a high temperature, three viscosity curves are introduced on the basis of the viscosity curve provided by NIST and the images of the test. In the experiment, we burn the specimen under the UL 94 condition, recording the process and measuring the temperature evolution by means of three thermocouples. The UL 94 test is solved, validating the methodology and quantifying the effect of FR on the dripping behavior. The numerical results prove that well-adjusted viscosity is crucial to achieving good agreement between the experimental and numerical results in terms of the shape of the polymer and the temperature evolution inside the polymer.
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spelling doaj.art-f9dab4f561884a3999217b999b5d5b1d2023-11-22T01:53:29ZengMDPI AGApplied Sciences2076-34172021-06-011113595210.3390/app11135952Numerical Simulation of Flame Retardant Polymers Using a Combined Eulerian–Lagrangian Finite Element FormulationJulio Marti0Jimena de la Vega1De-Yi Wang2Eugenio Oñate3Centre Internacional de Mètodes Numèrics en Enginyeria (CIMNE), Gran Capitán s/n, 08034 Barcelona, SpainIMDEA Materials Institute, C/Eric Kandel, 2, Getafe, 28906 Madrid, SpainIMDEA Materials Institute, C/Eric Kandel, 2, Getafe, 28906 Madrid, SpainCentre Internacional de Mètodes Numèrics en Enginyeria (CIMNE), Gran Capitán s/n, 08034 Barcelona, SpainMany polymer-made objects show a trend of melting and dripping in fire, a behavior that may be modified by adding flame retardants (FRs). These affect materials properties, e.g., heat absorption and viscosity. In this paper, the effect of a flame retardant on the fire behavior of polymers in the UL 94 scenario is studied. This goal is achieved essentially by applying a new computational strategy that combines the particle finite element method for the polymer with an Eulerian formulation for air. The sample selected is a polypropylene (PP) with magnesium hydroxide at 30 wt.%. For modelling, values of density, conductivity, specific heat, viscosity, and Arrhenius coefficients are obtained from different literature sources, and experimental characterization is performed. However, to alleviate the missing viscosity at a high temperature, three viscosity curves are introduced on the basis of the viscosity curve provided by NIST and the images of the test. In the experiment, we burn the specimen under the UL 94 condition, recording the process and measuring the temperature evolution by means of three thermocouples. The UL 94 test is solved, validating the methodology and quantifying the effect of FR on the dripping behavior. The numerical results prove that well-adjusted viscosity is crucial to achieving good agreement between the experimental and numerical results in terms of the shape of the polymer and the temperature evolution inside the polymer.https://www.mdpi.com/2076-3417/11/13/5952drippingmelt flowUL 94 testparticle finite element method (PFEM)flame retardant
spellingShingle Julio Marti
Jimena de la Vega
De-Yi Wang
Eugenio Oñate
Numerical Simulation of Flame Retardant Polymers Using a Combined Eulerian–Lagrangian Finite Element Formulation
Applied Sciences
dripping
melt flow
UL 94 test
particle finite element method (PFEM)
flame retardant
title Numerical Simulation of Flame Retardant Polymers Using a Combined Eulerian–Lagrangian Finite Element Formulation
title_full Numerical Simulation of Flame Retardant Polymers Using a Combined Eulerian–Lagrangian Finite Element Formulation
title_fullStr Numerical Simulation of Flame Retardant Polymers Using a Combined Eulerian–Lagrangian Finite Element Formulation
title_full_unstemmed Numerical Simulation of Flame Retardant Polymers Using a Combined Eulerian–Lagrangian Finite Element Formulation
title_short Numerical Simulation of Flame Retardant Polymers Using a Combined Eulerian–Lagrangian Finite Element Formulation
title_sort numerical simulation of flame retardant polymers using a combined eulerian lagrangian finite element formulation
topic dripping
melt flow
UL 94 test
particle finite element method (PFEM)
flame retardant
url https://www.mdpi.com/2076-3417/11/13/5952
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AT deyiwang numericalsimulationofflameretardantpolymersusingacombinedeulerianlagrangianfiniteelementformulation
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