Details
| Original language | English |
|---|---|
| Pages (from-to) | 215-227 |
| Number of pages | 13 |
| Journal | International Journal of Fracture |
| Volume | 206 |
| Issue number | 2 |
| Early online date | 25 Apr 2017 |
| Publication status | Published - Aug 2017 |
| Externally published | Yes |
Abstract
The fracture energy is a substantial material property that measures the ability of materials to resist crack growth. The reinforcement of the epoxy polymers by nanosize fillers improves significantly their toughness. The fracture mechanism of the produced polymeric nanocomposites is influenced by different parameters. This paper presents a methodology for stochastic modelling of the fracture in polymer/particle nanocomposites. For this purpose, we generated a 2D finite element model containing an epoxy matrix and rigid nanoparticles surrounded by an interphase zone. The crack propagation was modelled by the phantom node method. The stochastic model is based on six uncertain parameters: the volume fraction and the diameter of the nanoparticles, Young’s modulus and the maximum allowable principal stress of the epoxy matrix, the interphase zone thickness and its Young’s modulus. Considering the uncertainties in input parameters, a polynomial chaos expansion surrogate model is constructed followed by a sensitivity analysis. The variance in the fracture energy was mostly influenced by the maximum allowable principal stress and Young’s modulus of the epoxy matrix.
Keywords
- Computational mechanics, Fracture toughness, Interphase, Polymeric nanoparticle composites, Sensitivity analysis, Uncertainty quantification
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Mathematics(all)
- Modelling and Simulation
- Engineering(all)
- Mechanics of Materials
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In: International Journal of Fracture, Vol. 206, No. 2, 08.2017, p. 215-227.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Stochastic analysis of the fracture toughness of polymeric nanoparticle composites using polynomial chaos expansions
AU - Hamdia, Khader M.
AU - Silani, Mohammad
AU - Zhuang, Xiaoying
AU - He, Pengfei
AU - Rabczuk, Timon
N1 - Funding information: The authors gratefully acknowledge the support for this research provided by the Deutsche Forschungsgemeinschaft (DFG).
PY - 2017/8
Y1 - 2017/8
N2 - The fracture energy is a substantial material property that measures the ability of materials to resist crack growth. The reinforcement of the epoxy polymers by nanosize fillers improves significantly their toughness. The fracture mechanism of the produced polymeric nanocomposites is influenced by different parameters. This paper presents a methodology for stochastic modelling of the fracture in polymer/particle nanocomposites. For this purpose, we generated a 2D finite element model containing an epoxy matrix and rigid nanoparticles surrounded by an interphase zone. The crack propagation was modelled by the phantom node method. The stochastic model is based on six uncertain parameters: the volume fraction and the diameter of the nanoparticles, Young’s modulus and the maximum allowable principal stress of the epoxy matrix, the interphase zone thickness and its Young’s modulus. Considering the uncertainties in input parameters, a polynomial chaos expansion surrogate model is constructed followed by a sensitivity analysis. The variance in the fracture energy was mostly influenced by the maximum allowable principal stress and Young’s modulus of the epoxy matrix.
AB - The fracture energy is a substantial material property that measures the ability of materials to resist crack growth. The reinforcement of the epoxy polymers by nanosize fillers improves significantly their toughness. The fracture mechanism of the produced polymeric nanocomposites is influenced by different parameters. This paper presents a methodology for stochastic modelling of the fracture in polymer/particle nanocomposites. For this purpose, we generated a 2D finite element model containing an epoxy matrix and rigid nanoparticles surrounded by an interphase zone. The crack propagation was modelled by the phantom node method. The stochastic model is based on six uncertain parameters: the volume fraction and the diameter of the nanoparticles, Young’s modulus and the maximum allowable principal stress of the epoxy matrix, the interphase zone thickness and its Young’s modulus. Considering the uncertainties in input parameters, a polynomial chaos expansion surrogate model is constructed followed by a sensitivity analysis. The variance in the fracture energy was mostly influenced by the maximum allowable principal stress and Young’s modulus of the epoxy matrix.
KW - Computational mechanics
KW - Fracture toughness
KW - Interphase
KW - Polymeric nanoparticle composites
KW - Sensitivity analysis
KW - Uncertainty quantification
UR - http://www.scopus.com/inward/record.url?scp=85018707902&partnerID=8YFLogxK
U2 - 10.1007/s10704-017-0210-6
DO - 10.1007/s10704-017-0210-6
M3 - Article
AN - SCOPUS:85018707902
VL - 206
SP - 215
EP - 227
JO - International Journal of Fracture
JF - International Journal of Fracture
SN - 0376-9429
IS - 2
ER -