Details
| Original language | English |
|---|---|
| Pages (from-to) | 773-790 |
| Number of pages | 18 |
| Journal | Engineering with computers |
| Volume | 39 |
| Issue number | 1 |
| Early online date | 23 May 2022 |
| Publication status | Published - Feb 2023 |
Abstract
The mechanisms underlying damage in high-performance polymer nanocomposites are remarkably affected by hygrothermal conditions. In this study, we develop a phase-field formulation to investigate the influence of hygrothermal conditions on the nonlinear viscoelastic fracture behavior of epoxy resins and their nanocomposites at finite deformation. For this, the Helmholtz free energy, capturing the effect of temperature and moisture and nanoparticle contents, is defined based on an additive decomposition of the energy into an equilibrium, a non-equilibrium, and a volumetric contribution with different definitions under tensile and compressive loading. The coupled displacement phase-field problem is solved using a quasi-Newton monolithic algorithm and a staggered solution scheme. Numerical examples show that the monolithic algorithm is more efficient. Simulations are performed to investigate the effect of temperature, deformation rate, and moisture content on the force–displacement response of boehmite nanoparticle/epoxy samples in benchmark numerical problems. Comparing numerical predictions and experimental data for compact-tension tests shows good agreement at different nanoparticle contents. Also, the model’s capability to predict fracture patterns is evaluated using simulations of single-edge notched nanocomposite plates under tensile and shear loading.
Keywords
- Finite deformation, Finite element, Nanocomposite, Nonlinear viscoelasticity, Phase-field modeling
ASJC Scopus subject areas
- Computer Science(all)
- Software
- Mathematics(all)
- Modelling and Simulation
- Engineering(all)
- General Engineering
- Computer Science(all)
- Computer Science Applications
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In: Engineering with computers, Vol. 39, No. 1, 02.2023, p. 773-790.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Effect of moisture on the nonlinear viscoelastic fracture behavior of polymer nanocompsites
T2 - a finite deformation phase-field model
AU - Arash, Behrouz
AU - Exner, Wibke
AU - Rolfes, Raimund
N1 - Funding Information: This work originates from “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”) research project funded by the Federal Ministry for Economic Affairs and Energy. The authors wish to express their gratitude for the financial support. The authors also acknowledge the support of the LUIS scientific computing cluster, which is funded by Leibniz Universität Hannover, the Lower Saxony Ministry of Science and Culture (MWK), and the German Research Council (DFG).
PY - 2023/2
Y1 - 2023/2
N2 - The mechanisms underlying damage in high-performance polymer nanocomposites are remarkably affected by hygrothermal conditions. In this study, we develop a phase-field formulation to investigate the influence of hygrothermal conditions on the nonlinear viscoelastic fracture behavior of epoxy resins and their nanocomposites at finite deformation. For this, the Helmholtz free energy, capturing the effect of temperature and moisture and nanoparticle contents, is defined based on an additive decomposition of the energy into an equilibrium, a non-equilibrium, and a volumetric contribution with different definitions under tensile and compressive loading. The coupled displacement phase-field problem is solved using a quasi-Newton monolithic algorithm and a staggered solution scheme. Numerical examples show that the monolithic algorithm is more efficient. Simulations are performed to investigate the effect of temperature, deformation rate, and moisture content on the force–displacement response of boehmite nanoparticle/epoxy samples in benchmark numerical problems. Comparing numerical predictions and experimental data for compact-tension tests shows good agreement at different nanoparticle contents. Also, the model’s capability to predict fracture patterns is evaluated using simulations of single-edge notched nanocomposite plates under tensile and shear loading.
AB - The mechanisms underlying damage in high-performance polymer nanocomposites are remarkably affected by hygrothermal conditions. In this study, we develop a phase-field formulation to investigate the influence of hygrothermal conditions on the nonlinear viscoelastic fracture behavior of epoxy resins and their nanocomposites at finite deformation. For this, the Helmholtz free energy, capturing the effect of temperature and moisture and nanoparticle contents, is defined based on an additive decomposition of the energy into an equilibrium, a non-equilibrium, and a volumetric contribution with different definitions under tensile and compressive loading. The coupled displacement phase-field problem is solved using a quasi-Newton monolithic algorithm and a staggered solution scheme. Numerical examples show that the monolithic algorithm is more efficient. Simulations are performed to investigate the effect of temperature, deformation rate, and moisture content on the force–displacement response of boehmite nanoparticle/epoxy samples in benchmark numerical problems. Comparing numerical predictions and experimental data for compact-tension tests shows good agreement at different nanoparticle contents. Also, the model’s capability to predict fracture patterns is evaluated using simulations of single-edge notched nanocomposite plates under tensile and shear loading.
KW - Finite deformation
KW - Finite element
KW - Nanocomposite
KW - Nonlinear viscoelasticity
KW - Phase-field modeling
UR - http://www.scopus.com/inward/record.url?scp=85130521123&partnerID=8YFLogxK
U2 - 10.1007/s00366-022-01670-1
DO - 10.1007/s00366-022-01670-1
M3 - Article
AN - SCOPUS:85130521123
VL - 39
SP - 773
EP - 790
JO - Engineering with computers
JF - Engineering with computers
SN - 0177-0667
IS - 1
ER -