Details
| Original language | English |
|---|---|
| Pages (from-to) | 162-180 |
| Number of pages | 19 |
| Journal | Journal of the Mechanics and Physics of Solids |
| Volume | 128 |
| Early online date | 11 Apr 2019 |
| Publication status | Published - Jul 2019 |
Abstract
Experimental tests show that nonlinear viscoelasticity characterizes the mechanical behavior of boehmite nanoparticle (BNP)/epoxy nanocomposites. This paper presents the development and numerical implementation of a physically based constitutive model for BNP/epoxy nanocomposites undergoing finite strain. The proposed constitutive model allows capturing the main features of the stress-strain relationship of BNP/epoxy nanocomposites, including the nonlinear hyperelastic, time-dependent and softening behavior. The characterizing feature of this study is to propose a methodological framework based on molecular dynamics simulations and experimental tests to identify the material parameters for the model. Molecular simulations in conjunction with the Eyring viscosity theory are used to characterize the viscoelastic deformation of epoxy resins under loading. The concept of strain amplification is also adopted to account for the effect of nanoparticles on the stress–strain response of the nanocomposites. The stress softening behavior is captured by a monotonically increasing function of deformation, so-called damage variable. The results show that the model predictions of stress-strain relationships are in good agreement with experimental data at different BNP weight fractions. Finally, the constitutive model is implemented in the finite element analysis and examined by means of a benchmark example. Experimental–numerical validation confirms the predictive capability of the present modeling framework, which provides a suitable tool for analyzing BNP/epoxy nanocomposites.
Keywords
- Boehmite nanoparticle, Epoxy resin, Finite element analysis, Molecular dynamics simulations, Viscoelastic damage model
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Condensed Matter Physics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
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In: Journal of the Mechanics and Physics of Solids, Vol. 128, 07.2019, p. 162-180.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A viscoelastic damage model for nanoparticle/epoxy nanocomposites at finite strain
T2 - A multiscale approach
AU - Arash, Behrouz
AU - Exner, Wibke
AU - Rolfes, Raimund
N1 - Funding information: This work originates from the research project ‘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 Funding number is 03SF0529. The authors wish to express their gratitude for the financial support. This work originates from the research project ‘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 Funding number is 03SF0529 . The authors wish to express their gratitude for the financial support.
PY - 2019/7
Y1 - 2019/7
N2 - Experimental tests show that nonlinear viscoelasticity characterizes the mechanical behavior of boehmite nanoparticle (BNP)/epoxy nanocomposites. This paper presents the development and numerical implementation of a physically based constitutive model for BNP/epoxy nanocomposites undergoing finite strain. The proposed constitutive model allows capturing the main features of the stress-strain relationship of BNP/epoxy nanocomposites, including the nonlinear hyperelastic, time-dependent and softening behavior. The characterizing feature of this study is to propose a methodological framework based on molecular dynamics simulations and experimental tests to identify the material parameters for the model. Molecular simulations in conjunction with the Eyring viscosity theory are used to characterize the viscoelastic deformation of epoxy resins under loading. The concept of strain amplification is also adopted to account for the effect of nanoparticles on the stress–strain response of the nanocomposites. The stress softening behavior is captured by a monotonically increasing function of deformation, so-called damage variable. The results show that the model predictions of stress-strain relationships are in good agreement with experimental data at different BNP weight fractions. Finally, the constitutive model is implemented in the finite element analysis and examined by means of a benchmark example. Experimental–numerical validation confirms the predictive capability of the present modeling framework, which provides a suitable tool for analyzing BNP/epoxy nanocomposites.
AB - Experimental tests show that nonlinear viscoelasticity characterizes the mechanical behavior of boehmite nanoparticle (BNP)/epoxy nanocomposites. This paper presents the development and numerical implementation of a physically based constitutive model for BNP/epoxy nanocomposites undergoing finite strain. The proposed constitutive model allows capturing the main features of the stress-strain relationship of BNP/epoxy nanocomposites, including the nonlinear hyperelastic, time-dependent and softening behavior. The characterizing feature of this study is to propose a methodological framework based on molecular dynamics simulations and experimental tests to identify the material parameters for the model. Molecular simulations in conjunction with the Eyring viscosity theory are used to characterize the viscoelastic deformation of epoxy resins under loading. The concept of strain amplification is also adopted to account for the effect of nanoparticles on the stress–strain response of the nanocomposites. The stress softening behavior is captured by a monotonically increasing function of deformation, so-called damage variable. The results show that the model predictions of stress-strain relationships are in good agreement with experimental data at different BNP weight fractions. Finally, the constitutive model is implemented in the finite element analysis and examined by means of a benchmark example. Experimental–numerical validation confirms the predictive capability of the present modeling framework, which provides a suitable tool for analyzing BNP/epoxy nanocomposites.
KW - Boehmite nanoparticle
KW - Epoxy resin
KW - Finite element analysis
KW - Molecular dynamics simulations
KW - Viscoelastic damage model
UR - http://www.scopus.com/inward/record.url?scp=85064323654&partnerID=8YFLogxK
U2 - 10.1016/j.jmps.2019.04.004
DO - 10.1016/j.jmps.2019.04.004
M3 - Article
AN - SCOPUS:85064323654
VL - 128
SP - 162
EP - 180
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
SN - 0022-5096
ER -