Daniel Castillo 31.05.2018 Transport Research Finland 2018
Computational modelling
- f heterogeneity of
Computational modelling of heterogeneity of asphalt mixtures - - PowerPoint PPT Presentation
Computational modelling of heterogeneity of asphalt mixtures Daniel Castillo 31.05.2018 Transport Research Finland 2018 AC Heterogeneity Initial considerations Fine Aggregate Matrix (FAM) AC: Mixture and compaction of bitumen,
Daniel Castillo 31.05.2018 Transport Research Finland 2018
bitumen, aggregates and air voids. Heavily used in construction of road infrastructure, enduring traffic loadings and environmental conditions.
phases’ response to mechanical and environmental solicitations.
this heterogeneity may induce variability in the response.
Aggregates Air voids Fine Aggregate Matrix (FAM)
Initial considerations
A random field is a n-dimensional vector of random values that exhibit spatial correlation.
Correlated random field, isotropic. Uncorrelated random normal numbers.
3.02
Three dimensional random field, isotropic
CASTILLO & CARO (2014). “Effects of air voids variability on the thermo-mechanical response of asphalt mixtures”
Random fields
Methodology
Masad et al. (2009)
500 1000 1500 2000 20 40 60 E(t) [MPa] Time [s] AV 4% AV 7% AV 10%
Field of horizontal strains (εh)
3.18
εh ×10-4
Random field of Air Voids
4.43 10.07
AV [%]
Calculated Linear Viscoelastic properties
6200 11,900
Eo [MPa] Air Voids LVE Strain (εh) CASTILLO & CARO (2014). “Probabilistic modeling of air void variability of asphalt mixtures in flexible pavements”
Air Void content 5.9 % AV 6.6 % Average AV content 6.45 % AV 7.4 % AV 6.68 % AV 7.06 % AV 7.44 %
AC layer 1 AC layer 2 AC layer N AC layer 3
AV 8.3 %
Com putational applications
AV [%]
1.3 14.8 8.1 11.4 4.7 CASTILLO & CARO (2014). “Probabilistic modeling of air void variability of asphalt mixtures in flexible pavements”
1.0E-04 1.2E-04 1.4E-04 1.6E-04 1.8E-04 98 100 102 104 106 108 110
εh
x [cm]
Bottom row
x
Homogeneous layers
Com putational applications
CASTILLO & CARO (2014). “Probabilistic modeling of air void variability of asphalt mixtures in flexible pavements”
1.0E-04 1.2E-04 1.4E-04 1.6E-04 1.8E-04 98 100 102 104 106 108 110
εh
x [cm]
Bottom row
x
Heterogeneous layers
Response dispersion increases (approx. x8)
Com putational applications
CASTILLO & CARO (2014). “Probabilistic modeling of air void variability of asphalt mixtures in flexible pavements”
Heterogeneous FE model of the pavement structure
Eo [GPa]
20.7 45.9 33.3 39.6 27.0
Area of moving load application
× N
x y z
Heterogeneity in the asphalt material (3D RF)
Com putational applications
CASTILLO & AL-QADI (2018). “Importance of Heterogeneity in Asphalt Pavement Modeling”
Com putational applications
AC layer – Top view
x y z
×
7.83 με CV 5.6% CASTILLO & AL-QADI (2018). “Importance of Heterogeneity in Asphalt Pavement Modeling”
AC layer – Bottom view
×
x y z
std(E11) [με]
0.00 9.00 3.17 6.08 0.25
7.83 με CV 6.58%
AV content Aggregate fraction
Random generator of m icrostructure (MG)
CASTILLO, CARO, DARABI & MASAD (2015). “Studying the effect of microstructural properties on the mechanical degradation of asphalt mixtures”
2D specimen shape Gradation Random 2D asphalt concrete microstructure
Random generator of m icrostructure (MG)
CASTILLO, CARO, DARABI & MASAD (2015). “Studying the effect of microstructural properties on the mechanical degradation of asphalt mixtures”
Random 2D asphalt concrete microstructure
Random generator of m icrostructure (MG)
t = 150 s t = 225 s t = 300 s
Pavement Analysis using Nonlinear Damage Approach
DAMAGE DENSITY, Φ
0.00 2.53 1.26 1.89 0.62 CASTILLO, CARO, DARABI & MASAD (2015). “Studying the effect of microstructural properties on the mechanical degradation of asphalt mixtures”
28.11 mm² 10 20 30 40 50 60 70 80 100 150 200 250 300 Damaged FAM area [mm²] Time [s]
NMAS 12.5 mm 4% Air voids
43.00 mm² 10 20 30 40 50 60 70 80 100 150 200 250 300 Damaged FAM area [mm²] Time [s]
NMAS 12.5 mm 7% Air voids
31.89 mm² 10 20 30 40 50 60 70 80 100 150 200 250 300 Damaged FAM area [mm²] Time [s]
NMAS 19.0 mm 4% Air voids
48.50 mm² 10 20 30 40 50 60 70 80 100 150 200 250 300 Damaged FAM area [mm²] Time [s]
NMAS 19.0 mm 7% Air voids x100 specimens x100 specimens x100 specimens x100 specimens
Random generator of m icrostructure (MG)
CASTILLO, CARO, DARABI & MASAD (2015). “Studying the effect of microstructural properties on the mechanical degradation of asphalt mixtures”
x100 x100
Materials in nature are heterogeneous. Artificial m aterials, even m ore! We need to study and include this heterogeneity as an intrinsic part of our com putational m odels.
What did w e do?
We considered AC heterogeneity implicitly/explicitly into our computational models.
Why did w e do it?
Heterogeneity has an important, measurable effect on the variability of material response. This is particularly true for a material as highly heterogeneous as asphalt concrete. Uncertainty data on mechanical properties/response is traditionally scarce.
What can w e do w ith it?
random, with a degree of ‘control’ over properties that only a computer can provide. This can be seen as an alternative to complement the laboratory work, which requires resources (effort, time and materials – money). Also, traditional as well as non-traditional materials and mechanical properties can be tested (RAP , aged materials, aggregate shapes). Some sources call this “virtual laboratory”.
quality control.
laboratory or the field.
have applicability to a variety of infrastructure and building materials.
Bogotá Urbana-Champaign
Al-Qadi, PhD
Caro, PhD
College Station Doha
Masad, PhD
Current w ork
Homogeneous plate, 20 GPa
E [GPa]
12.2 26.5 19.3 22.9 15.7
NON-LOCAL EQUIVALENT STRAIN [×10-3]
0.0 8.0 4.0 6.0 2.0 Heterogeneous plate