A finite deformation phase-field fracture model for the thermo-viscoelastic analysis of polymer nanocomposites

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Original languageEnglish
Article number113821
JournalComputer Methods in Applied Mechanics and Engineering
Volume381
Early online date15 Apr 2021
Publication statusPublished - 1 Aug 2021

Abstract

The prediction of failure processes in polymer nanocomposites requires accurately capturing different factors such as damage mechanisms, and temperature- and rate-dependent material characteristics. This work presents the development of a finite deformation phase-field fracture model to analyze the thermo-viscoelastic behavior of boehmite nanoparticle/epoxy nanocomposites. To characterize the rate-dependent fracture evolution, the free energy is additively decomposed into an equilibrium, a non-equilibrium, and a volumetric part with a varying definition under tensile and compressive deformation. Furthermore, the Guth–Gold and modified Kitagawa models are adopted to consider the effect of the nanoparticle contents and temperature on the nanocomposites’ fracture behavior. The applicability of the proposed model is evaluated by comparing the numerical results of compact-tension tests with experimental data. The experimental–numerical validation justifies the predictive capability of the model. Numerical simulations are also performed to study the effect of temperature and deformation rate on the force–displacement response of boehmite nanoparticle/epoxy samples in the compact-tension tests.

Keywords

    Finite deformation, Finite element, Phase-field model, Polymer nanocomposite, Viscoelasticity

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A finite deformation phase-field fracture model for the thermo-viscoelastic analysis of polymer nanocomposites. / Arash, Behrouz; Exner, Wibke; Rolfes, Raimund.
In: Computer Methods in Applied Mechanics and Engineering, Vol. 381, 113821, 01.08.2021.

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title = "A finite deformation phase-field fracture model for the thermo-viscoelastic analysis of polymer nanocomposites",
abstract = "The prediction of failure processes in polymer nanocomposites requires accurately capturing different factors such as damage mechanisms, and temperature- and rate-dependent material characteristics. This work presents the development of a finite deformation phase-field fracture model to analyze the thermo-viscoelastic behavior of boehmite nanoparticle/epoxy nanocomposites. To characterize the rate-dependent fracture evolution, the free energy is additively decomposed into an equilibrium, a non-equilibrium, and a volumetric part with a varying definition under tensile and compressive deformation. Furthermore, the Guth–Gold and modified Kitagawa models are adopted to consider the effect of the nanoparticle contents and temperature on the nanocomposites{\textquoteright} fracture behavior. The applicability of the proposed model is evaluated by comparing the numerical results of compact-tension tests with experimental data. The experimental–numerical validation justifies the predictive capability of the model. Numerical simulations are also performed to study the effect of temperature and deformation rate on the force–displacement response of boehmite nanoparticle/epoxy samples in the compact-tension tests.",
keywords = "Finite deformation, Finite element, Phase-field model, Polymer nanocomposite, Viscoelasticity",
author = "Behrouz Arash and Wibke Exner and Raimund Rolfes",
note = "Funding Information: This work originates from two research projects: (1) “Hybrid laminates and nanoparticle-reinforced materials for improved rotor blade structures” (“LENAH - Lebensdauererh{\"o}hung und Leichtbauoptimierung durch nanomodifizierte und hybride Werkstoffsysteme im Rotorblatt”), funded by the Federal Ministry of Education and Research of Germany , and (2) “Challenges of industrial application of nanomodified and hybrid material systems in lightweight rotor blade construction” (“HANNAH - Herausforderungen der industriellen Anwendung von nanomodifizierten und hybriden Werkstoffsystemen im Rotorblattleichtbau”), funded by the Federal Ministry for Economic Affairs and Energy, Germany . The authors wish to express their gratitude for the financial support. Funding Information: The authors acknowledge the support of the LUIS scientific computing cluster, Germany , which is funded by Leibniz Universit{\"a}t Hannover, Germany , the Lower Saxony Ministry of Science and Culture (MWK), Germany and the German Research Council (DFG).",
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AU - Arash, Behrouz

AU - Exner, Wibke

AU - Rolfes, Raimund

N1 - Funding Information: This work originates from two research projects: (1) “Hybrid laminates and nanoparticle-reinforced materials for improved rotor blade structures” (“LENAH - Lebensdauererhöhung und Leichtbauoptimierung durch nanomodifizierte und hybride Werkstoffsysteme im Rotorblatt”), funded by the Federal Ministry of Education and Research of Germany , and (2) “Challenges of industrial application of nanomodified and hybrid material systems in lightweight rotor blade construction” (“HANNAH - Herausforderungen der industriellen Anwendung von nanomodifizierten und hybriden Werkstoffsystemen im Rotorblattleichtbau”), funded by the Federal Ministry for Economic Affairs and Energy, Germany . The authors wish to express their gratitude for the financial support. Funding Information: The authors acknowledge the support of the LUIS scientific computing cluster, Germany , which is funded by Leibniz Universität Hannover, Germany , the Lower Saxony Ministry of Science and Culture (MWK), Germany and the German Research Council (DFG).

PY - 2021/8/1

Y1 - 2021/8/1

N2 - The prediction of failure processes in polymer nanocomposites requires accurately capturing different factors such as damage mechanisms, and temperature- and rate-dependent material characteristics. This work presents the development of a finite deformation phase-field fracture model to analyze the thermo-viscoelastic behavior of boehmite nanoparticle/epoxy nanocomposites. To characterize the rate-dependent fracture evolution, the free energy is additively decomposed into an equilibrium, a non-equilibrium, and a volumetric part with a varying definition under tensile and compressive deformation. Furthermore, the Guth–Gold and modified Kitagawa models are adopted to consider the effect of the nanoparticle contents and temperature on the nanocomposites’ fracture behavior. The applicability of the proposed model is evaluated by comparing the numerical results of compact-tension tests with experimental data. The experimental–numerical validation justifies the predictive capability of the model. Numerical simulations are also performed to study the effect of temperature and deformation rate on the force–displacement response of boehmite nanoparticle/epoxy samples in the compact-tension tests.

AB - The prediction of failure processes in polymer nanocomposites requires accurately capturing different factors such as damage mechanisms, and temperature- and rate-dependent material characteristics. This work presents the development of a finite deformation phase-field fracture model to analyze the thermo-viscoelastic behavior of boehmite nanoparticle/epoxy nanocomposites. To characterize the rate-dependent fracture evolution, the free energy is additively decomposed into an equilibrium, a non-equilibrium, and a volumetric part with a varying definition under tensile and compressive deformation. Furthermore, the Guth–Gold and modified Kitagawa models are adopted to consider the effect of the nanoparticle contents and temperature on the nanocomposites’ fracture behavior. The applicability of the proposed model is evaluated by comparing the numerical results of compact-tension tests with experimental data. The experimental–numerical validation justifies the predictive capability of the model. Numerical simulations are also performed to study the effect of temperature and deformation rate on the force–displacement response of boehmite nanoparticle/epoxy samples in the compact-tension tests.

KW - Finite deformation

KW - Finite element

KW - Phase-field model

KW - Polymer nanocomposite

KW - Viscoelasticity

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U2 - 10.1016/j.cma.2021.113821

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JO - Computer Methods in Applied Mechanics and Engineering

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ER -

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