The paper aims to numerically reflect mineral-asphalt mixture structure by a standard FEM software. Laboratory test results are presented due to bending tests of circular notched elements. The result scatter is relatively high. An attempt was made to form a random aggregate distribution in order to obtain various results corresponding to laboratory tests. The material structure calibration, its homogenization and finite element dimensioning are the issues decisive for the objective mixture description. The representative volume element (RVE) is investigated here, while it does not precisely reflect the material structure it displays relevant global material parameters. The simulation procedure applied here makes it possible to introduce the name of Monte Carlo simulation-based constitutive model.

Topics
Micromechanics, Monte Carlo methods, Educational assessment
1.
T. L.
 
Anderson
,
Fracture mechanics fundamentals and applications
(
Taylor & Francis
,
2005
).
Google Scholar
Crossref
Search ADS
 
2.
Y. R.
 
Kim
, Modelling of asphalt concrete(
ASCE Press Mc GrawHil
,
2009
).
3.
L.
 
Wang
, Mechanics of asphalt Microstructure and micromechanics(
ASCE Press Mc GrawHil
,
2011
).
4.
J.
 
Wimmer
,
B.
 
Stier
,
J.W.
 
Simon
 and
S.
 
Reese
,
Finite Elements in Analysis and Design
 
110
, pp.
43
–
57
(
2016
).
https://doi.org/10.1016/j.finel.2015.10.005
Google Scholar
Crossref
Search ADS
 
5.
H.
 
Wang
,
J.
 
Wang
,
J.
 
Chen
,
Engineering Fracture Mechanics
 
132
, pp.
104
–
119
(
2014
).
https://doi.org/10.1016/j.engfracmech.2014.10.029
Google Scholar
Crossref
Search ADS
 
6.
T.
 
You
,
R. K. A.
 
Al-Rub
,
M. K.
 
Darabi
,
E. A.
 
Masad
 and
D. N.
 
Little
,
Construction and Building Materials
 
28
, pp.
531
–
548
(
2012
).
https://doi.org/10.1016/j.conbuildmat.2011.08.061
Google Scholar
Crossref
Search ADS
 
7.
K. H.
 
Moon
,
A. C.
 
Falchetto
 and
J. W.
 
Hu
,
Construction and Building Materials
 
53
, pp.
568
–
583
(
2014
).
https://doi.org/10.1016/j.conbuildmat.2013.12.022
Google Scholar
Crossref
Search ADS
 
8.
E.
 
Mahmoud
,
S.
 
Saadeh
,
H.
 
Hakimelahi
 and
J.
 
Harvey
,
Road Materials and Pavement Design
 
15
(
1
), pp.
153
–
166
(
2013
).
https://doi.org/10.1080/14680629.2013.863737
Google Scholar
Crossref
Search ADS
 
9.
A.
 
Yin
,
X.
 
Yang
,
S.
 
Yang
 and
W.
 
Jiang
,
Engineering Fracture Mechanics
 
78
, pp.
2414
–
2428
(
2011
).
https://doi.org/10.1016/j.engfracmech.2011.06.001
Google Scholar
Crossref
Search ADS
 
10.
T.
 
Schüler
,
R.
 
Jänicke
 and
H.
 
Steeb
,
Construction and Building Materials
, pp.
96
–
108
(
2016
).
https://doi.org/10.1016/j.conbuildmat.2016.02.012
Google Scholar
 
11.
X.
 
Li
 and
M. O.
 
Marasteanu
,
International Journal of Fracture
 
136
pp.
285
–
308
(
2005
).
https://doi.org/10.1007/s10704-005-6035-8
Google Scholar
Crossref
Search ADS
 
12.
M.
 
Galouei
,
A.
 
Fakhimi
,
Computers and Geotechnics
 
65
pp.
126
–
135
(
2015
).
https://doi.org/10.1016/j.compgeo.2014.12.010
Google Scholar
Crossref
Search ADS
 
13.
.
T.
 
Kanit
,
S.
 
Forest
,
I.
 
Galliet
,
V.
 
Mounoury
,
D.
 
Jeulin
,
International Journal of Solids and Structure
 
40
pp.
3647
–
3679
(
2003
).
https://doi.org/10.1016/S0020-7683(03)00143-4
Google Scholar
Crossref
Search ADS
 
14.
M.
 
Ostoja-Starzewski
,
Probabilistic Engineering Mechanics
 
21
pp.
112
–
132
(
2006
).
https://doi.org/10.1016/j.probengmech.2005.07.007
Google Scholar
Crossref
Search ADS
 
15.
T.
 
Pellinen
,
E.
 
Huuskonen-Snicker
,
P.
 
Eskelinen
,
P. O.
 
Martinez
,
Journal of traffic and transportation engineering
 
2
(
1
), pp.
30
–
39
(
2015
).
Google Scholar
 
16.
C.
 
Szydłowski
,
J.
 
Judycki
,
Highway Engineering
 
10
, pp.
348
–
353
(
2015
) (in Polish).
Google Scholar
 
17.
S.-J.
 
Lee
,
G.
 
Zi
,
S.
 
Mun
,
J. S.
 
Kong
,
J.-H.
 
Choi
,
Engineering Fracture Mechanics
 
141
pp.
212
–
229
(
2015
).
https://doi.org/10.1016/j.engfracmech.2015.04.033
Google Scholar
Crossref
Search ADS
 
18.
A.
 
Yin
,
X.
 
Yang
,
H.
 
Gao
,
H.
 
Zhu
,
Engineering Fracture Mechanics
 
92
pp.
40
–
55
(
2012
).
https://doi.org/10.1016/j.engfracmech.2012.05.016
Google Scholar
Crossref
Search ADS
 
19.
X. F.
 
Wang
,
Z. J.
 
Yang
,
J. R.
 
Yates
,
A. P.
 
Jivkov
,
C.
 
Zhang
,
Construction and Building Materials
 
75
pp.
35
–
45
(
2015
).
https://doi.org/10.1016/j.conbuildmat.2014.09.069
Google Scholar
Crossref
Search ADS
 
20.
X.
 
Wang
,
Z.
 
Yang
,
A. P.
 
Jivkov
,
Construction and Building Materials
 
80
pp.
262
–
272
(
2015
).
https://doi.org/10.1016/j.conbuildmat.2015.02.002
Google Scholar
Crossref
Search ADS
 
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2019
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