Modeling the elastic response of polymer foams at finite deformations

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Abstract

Constitutive equations are developed for the elastic behavior of polymer foams under three-dimensional deformations with finite strains. These relations provide an extension of the Danielsson–Parks–Boyce model for a compressible matrix material in a representative volume element, whose volumetric deformation is governed by the specific work of external forces. The mechanical response of foams is described by the governing equations with four adjustable parameters. Two of them are material constants independent of porosity ϕ. The other two coefficients are functions of ϕ, for which simple equations are suggested. The model is applied to the analysis of observations on an extensive number of foams. Good agreement is demonstrated between results of simulation and experimental data in uniaxial tensile tests, compressive tests, and tension-compression tests. Predictions of the model for mechanically induced evolution of the microstructure of foams are in accord with available observations.

Original languageEnglish
JournalInternational Journal of Mechanical Sciences
ISSN0020-7403
DOIs
Publication statusPublished - Apr 2020

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foams
polymers
matrix materials
compression tests
constitutive equations
tensile tests
porosity
microstructure
coefficients
predictions
simulation

Cite this

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title = "Modeling the elastic response of polymer foams at finite deformations",
abstract = "Constitutive equations are developed for the elastic behavior of polymer foams under three-dimensional deformations with finite strains. These relations provide an extension of the Danielsson–Parks–Boyce model for a compressible matrix material in a representative volume element, whose volumetric deformation is governed by the specific work of external forces. The mechanical response of foams is described by the governing equations with four adjustable parameters. Two of them are material constants independent of porosity ϕ. The other two coefficients are functions of ϕ, for which simple equations are suggested. The model is applied to the analysis of observations on an extensive number of foams. Good agreement is demonstrated between results of simulation and experimental data in uniaxial tensile tests, compressive tests, and tension-compression tests. Predictions of the model for mechanically induced evolution of the microstructure of foams are in accord with available observations.",
author = "Drozdov, {Aleksey D.} and Christiansen, {Jesper de Claville}",
year = "2020",
month = "4",
doi = "10.1016/j.ijmecsci.2019.105398",
language = "English",
journal = "International Journal of Mechanical Sciences",
issn = "0020-7403",

}

TY - JOUR

T1 - Modeling the elastic response of polymer foams at finite deformations

AU - Drozdov, Aleksey D.

AU - Christiansen, Jesper de Claville

PY - 2020/4

Y1 - 2020/4

N2 - Constitutive equations are developed for the elastic behavior of polymer foams under three-dimensional deformations with finite strains. These relations provide an extension of the Danielsson–Parks–Boyce model for a compressible matrix material in a representative volume element, whose volumetric deformation is governed by the specific work of external forces. The mechanical response of foams is described by the governing equations with four adjustable parameters. Two of them are material constants independent of porosity ϕ. The other two coefficients are functions of ϕ, for which simple equations are suggested. The model is applied to the analysis of observations on an extensive number of foams. Good agreement is demonstrated between results of simulation and experimental data in uniaxial tensile tests, compressive tests, and tension-compression tests. Predictions of the model for mechanically induced evolution of the microstructure of foams are in accord with available observations.

AB - Constitutive equations are developed for the elastic behavior of polymer foams under three-dimensional deformations with finite strains. These relations provide an extension of the Danielsson–Parks–Boyce model for a compressible matrix material in a representative volume element, whose volumetric deformation is governed by the specific work of external forces. The mechanical response of foams is described by the governing equations with four adjustable parameters. Two of them are material constants independent of porosity ϕ. The other two coefficients are functions of ϕ, for which simple equations are suggested. The model is applied to the analysis of observations on an extensive number of foams. Good agreement is demonstrated between results of simulation and experimental data in uniaxial tensile tests, compressive tests, and tension-compression tests. Predictions of the model for mechanically induced evolution of the microstructure of foams are in accord with available observations.

UR - http://dx.doi.org/10.1016/j.ijmecsci.2019.105398

U2 - 10.1016/j.ijmecsci.2019.105398

DO - 10.1016/j.ijmecsci.2019.105398

M3 - Journal article

JO - International Journal of Mechanical Sciences

JF - International Journal of Mechanical Sciences

SN - 0020-7403

ER -