Key Parameters for Fracture Toughness of Particle/Polymer Nanocomposites; Sensitivity Analysis via XFEM Modeling Approach

Research output: Other contributionOther publicationResearchpeer review

Authors

  • Khader M. Hamdia
  • Timon Rabczuk

External Research Organisations

  • Bauhaus-Universität Weimar
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Details

Original languageEnglish
Number of pages11
Publication statusPublished - 15 Jul 2018
Externally publishedYes

Publication series

NameLecture Notes in Mechanical Engineering
ISSN (Print)2195-4356
ISSN (electronic)2195-4364

Abstract

Epoxy polymers are highly crosslinked polymers that result in brittle fracture. Adding rigid fillers to the bulk epoxy can lead to tougher composites. This study present comprehensive sensitivity analysis in order to determine the key input parameters for fracture toughness of particle/polymer nanocomposites. Within the framework of Extended Finite Element Method (XFEM), the cohesive segments method and phantom nodes have been exploited to model numerically the fracture and crack propagation based on 2D finite element model. Four common global sensitivity analysis methods are applied: (1) regression method, (2) elementary effects of Morris (MOAT), (3) Sobol’/Saltelli method, and (4) Extended fourier amplitude sensitivity test (EFAST). The results indicated that the maximum allowable principal stress and Young’s modulus of the epoxy matrix were the most two significant parameters. Besides, the size of the nanoparicles showed weighty interaction effect. The achievement of this study is of value for a better understanding of fracture mechanism in polymer nanocomposites that provides a sufficient support for the further exploration.

Keywords

    Fracture mechanic, Polymer nanocomposites, Sensitivity analysis

ASJC Scopus subject areas

Cite this

Key Parameters for Fracture Toughness of Particle/Polymer Nanocomposites; Sensitivity Analysis via XFEM Modeling Approach. / Hamdia, Khader M.; Rabczuk, Timon.
11 p. 2018. (Lecture Notes in Mechanical Engineering).

Research output: Other contributionOther publicationResearchpeer review

Hamdia, Khader M. ; Rabczuk, Timon. / Key Parameters for Fracture Toughness of Particle/Polymer Nanocomposites; Sensitivity Analysis via XFEM Modeling Approach. 2018. 11 p. (Lecture Notes in Mechanical Engineering).
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abstract = "Epoxy polymers are highly crosslinked polymers that result in brittle fracture. Adding rigid fillers to the bulk epoxy can lead to tougher composites. This study present comprehensive sensitivity analysis in order to determine the key input parameters for fracture toughness of particle/polymer nanocomposites. Within the framework of Extended Finite Element Method (XFEM), the cohesive segments method and phantom nodes have been exploited to model numerically the fracture and crack propagation based on 2D finite element model. Four common global sensitivity analysis methods are applied: (1) regression method, (2) elementary effects of Morris (MOAT), (3) Sobol{\textquoteright}/Saltelli method, and (4) Extended fourier amplitude sensitivity test (EFAST). The results indicated that the maximum allowable principal stress and Young{\textquoteright}s modulus of the epoxy matrix were the most two significant parameters. Besides, the size of the nanoparicles showed weighty interaction effect. The achievement of this study is of value for a better understanding of fracture mechanism in polymer nanocomposites that provides a sufficient support for the further exploration.",
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