Abstract
A waste-based particle polymer composite (WPPCs) made of foam glass and polypropylene was developed as a low-cost construction material. Thermomechanical properties of the composite, including creep properties of WPPC and polypropylene binder, were examined. By adding a relatively small amount of polypropylene to foam glass (about 2:8 in volume parts), the maximum bearing capacity at room temperature of the composite increased from 1.9 (pure foam glass) to 15 MPa. A significant creep strain accumulated during compressive loading of WPPC (5 MPa) in the first 2000 s at elevated temperatures (40, 60 °C). In the study, Kafka’s mesomechanical model was used to simulate creep strain changes in time for various temperatures. The applicability of Kafka’s mesomechanical model for simulating creep properties of the studied composite material was demonstrated.
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Abbreviations
- σ ij :
-
Stress tensor
- δ ij σ :
-
Isotropic part of σ ij (σ = σ ii /3)
- s ij :
-
Deviatoric part of σ ij (s ij = σ ij − δ ij σ)
- ε ij :
-
Strain tensor
- δ ij ε :
-
Isotropic part of ε ij (ε = ε ii /3)
- e ij :
-
Deviatoric part of ε ij (e ij = ɛ ij − δ ij ɛ)
- δ ij :
-
Kronecker’s delta
- E :
-
Young’s modulus
- ν :
-
Poisson’s ratio
- μ = (1 + ν)/E :
-
Deviatoric elastic compliance
- ρ = (1 − 2ν)/E :
-
Isotropic elastic compliance
- \({\bar{|}}\) :
-
Over-bar that relates symbol | to the composite—average in a representative volume element of the composite
- r :
-
Index relating the symbol to the resistent PP
- c :
-
Index relating the symbol to the compliant FG
- e :
-
Index relating the symbol to the elastic constituent of the PP
- n :
-
Index relating the symbol to the inelastic constituent of the PP
- ν r {ν c }:
-
Volume fraction of the resistant PP {of the compliant FG} in the composite. In part 3, ν r {ν c } are denoted as VPP {VFG}
- ν e {ν n }:
-
Volume fraction of the elastic {inelastic} constituent in PP
- ε ij ′:
-
ε ij −\(\bar{\varepsilon }_{ij}\)
- δ ij ε′:
-
Isotropic part of ε ij ′
- e ij ′:
-
Deviatoric part of ε ij ′
- σ ij ′:
-
Stress related to ε ij ′ similarly as is σ ij related to ε ij
- δ ij σ′ :
-
Isotropic part of σ ij ′
- s ij ′:
-
Deviatoric part of σ ij ′
- η e, η n :
-
Structural parameters of PP
- \(\dot{h}^{n}\) :
-
Formal variable that equals 0 in elasticity, \(\dot{\lambda }^{n}\) in plasticity, and 1/(2H n) in creep
- H n :
-
Coefficient of viscosity of the n-constituent in PP
- λ n :
-
Scalar measure of plastic deformation in the PP binder
- c n :
-
Deviatoric yield limit of the PP binder
The dot above any symbol means time derivative
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Acknowledgments
D.V. would like to thank for support of the work by the Czech Science Foundation via project 14-36566G.
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Dostálová, D., Kafka, V., Vokoun, D. et al. Thermomechanical Properties of Polypropylene-Based Lightweight Composites Modeled on the Mesoscale. J. of Materi Eng and Perform 26, 5166–5172 (2017). https://doi.org/10.1007/s11665-017-2967-1
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DOI: https://doi.org/10.1007/s11665-017-2967-1