Негативні термомеханічні ефекти в армованих дорожніх конструкціях за термопружної несумісності матеріалів покриття та арматури
The phenomena of the formation of local defects and cracks in asphalt concrete pavements of roads and bridges are most often observed in climatic zones with large temperature differences during their seasonal and daily changes. To a large extent, this is due to the heterogeneity of the thermomechani...
Збережено в:
| Дата: | 2022 |
|---|---|
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"
2022
|
| Теми: | |
| Онлайн доступ: | https://journal.iasa.kpi.ua/article/view/253675 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | System research and information technologies |
| Завантажити файл: |  |
Репозитарії
System research and information technologies| _version_ | 1867334424649007104 |
|---|---|
| author | Gulyayev, Valery Mozgovyy, Volodymyr Shlyun, Nataliia Shevchuk, Lyudmyla |
| author_facet | Gulyayev, Valery Mozgovyy, Volodymyr Shlyun, Nataliia Shevchuk, Lyudmyla |
| author_institution_txt_mv | [
{
"author": "Valery Gulyayev",
"institution": "National Transport University, Kyiv"
},
{
"author": "Volodymyr Mozgovyy",
"institution": "National Transport University, Kyiv"
},
{
"author": "Nataliia Shlyun",
"institution": "National Transport University, Kyiv"
},
{
"author": "Lyudmyla Shevchuk",
"institution": "National Transport University, Kyiv"
}
] |
| author_sort | Gulyayev, Valery |
| baseUrl_str | http://journal.iasa.kpi.ua/oai |
| collection | OJS |
| datestamp_date | 2022-10-17T22:12:39Z |
| description | The phenomena of the formation of local defects and cracks in asphalt concrete pavements of roads and bridges are most often observed in climatic zones with large temperature differences during their seasonal and daily changes. To a large extent, this is due to the heterogeneity of the thermomechanical properties of the materials of the coating layers and the base. To prevent these phenomena, reinforcing rods and meshes are introduced into the coating structure. In this work, using the theory of thermoelasticity, it is shown by the method of mathematical modelling that in cases of incompatibility of the thermomechanical characteristics of asphalt concrete materials and reinforcement, additional localized thermal stresses arise in its small vicinity, which, even at moderate temperatures, can reach critical values and lead to local defects and cracks. Since these defects are latent, they cannot always be detected in practice. The presented results of analytic calculation validated these conclusions. They can be used in both road building and composite design. |
| doi_str_mv | 10.20535/SRIT.2308-8893.2022.2.09 |
| first_indexed | 2025-07-17T10:27:47Z |
| format | Article |
| fulltext |
V.I. Gulyayev, V.V. Mozgovyi, N.V. Shlyun, L.V. Shevchuk, 2022
Системні дослідження та інформаційні технології, 2022, № 2 117
TIДC
МАТЕМАТИЧНІ МЕТОДИ, МОДЕЛІ,
ПРОБЛЕМИ І ТЕХНОЛОГІЇ ДОСЛІДЖЕННЯ
СКЛАДНИХ СИСТЕМ
UDC 539.3
DOI: 10.20535/SRIT.2308-8893.2022.2.09
MODELLING NEGATIVE THERMOMECHANICAL EFFECTS
IN REINFORCED ROAD STRUCTURES
WITH THERMOELASTIC INCOMPATIBILITY OF COATING
AND REINFORCEMENT MATERIALS
V.I. GULYAYEV, V.V. MOZGOVYI, N.V. SHLYUN, L.V. SHEVCHUK
Abstract. The phenomena of the formation of local defects and cracks in asphalt
concrete pavements of roads and bridges are most often observed in climatic zones
with large temperature differences during their seasonal and daily changes. To a
large extent, this is due to the heterogeneity of the thermomechanical properties of
the materials of the coating layers and the base. To prevent these phenomena, rein-
forcing rods and meshes are introduced into the coating structure. In this work, using
the theory of thermoelasticity, it is shown by the method of mathematical modelling
that in cases of incompatibility of the thermomechanical characteristics of asphalt
concrete materials and reinforcement, additional localized thermal stresses arise in
its small vicinity, which, even at moderate temperatures, can reach critical values
and lead to local defects and cracks. Since these defects are latent, they cannot al-
ways be detected in practice. The presented results of analytic calculation validated
these conclusions. They can be used in both road building and composite design.
Keywords: reinforced asphalt concretes, thermomechanical incompatibility,
mathematical modelling, destruction prevention.
INTRODUCTION
The strength and durability of the roadway is largely determined by the intensity
of traffic loads and the impact of climatic conditions. Noticeable destruction of
road surfaces, bridges, tunnels and dams, as well as other infrastructure facilities
in climatic zones with large temperature differences, as a rule, occurs during off-
season periods, accompanied by high temperature gradients.
Among the most common types of thermal destruction of the roadway is the
appearance of transverse cracks in it, caused by the limiting values of longitudinal
stresses at low negative temperatures in the conditions of the impossibility of free
shortening of the upper layers. To avoid this effect, so-called “unloading expan-
sion joints” and reinforcement (longitudinal, mesh, etc.) are introduced into the
road structure. Such a general strengthening of the roadway with reinforcement
leads to an increase in its overall strength, a reduction of deformability, an
enlargement of durability, and a decrease in the cost of repair work.
V.I. Gulyayev, V.V. Mozgovyi, N.V. Shlyun, L.V. Shevchuk
ISSN 1681–6048 System Research & Information Technologies, 2022, № 2 118
In the theoretical analysis of the effect of reinforcement on the structural
strength and the study of the general thermomechanical properties of reinforced
(composite) materials and road coatings, the reduced (effective) values of the pa-
rameters of combined systems containing inclusions in the form of particles, fi-
bers or rods are mainly determined [4, 6]. In these cases, mainly, models of ho-
mogeneous and inhomogeneous spherical particles, including those coated with
shell layers, are considered [4]. The cases of ordered [2] and stochastic [10]
placement of grains of these particles are singled out, and the reduced values of
Young’s modulus, Poisson’s ratio, thermal conductivity coefficient, and thermal
expansion coefficient of the entire system are calculated for them.
Very complex processes of thermal deformation and thermal destruction are
observed in the structures of asphalt concrete pavements of roads and bridges [3,
9, 13, 16, 17, 19, 20]. The issues of determining the reduced thermomechanical
characteristics of asphalt concrete materials reinforced with particles, fibers and
rods are considered in publications [5, 7, 12, 14]. Here, however, these tasks be-
come more complicated, since it is possible to create materials with directional
(anisotropic) properties.
In addition, it should be noted that the insertion of reinforcing inclusions
from another material into one material can not only improve the generalized
characteristics of the entire composite, but under thermal effects it can also be
accompanied by the generation of noticeable additional local internal thermal
stresses if the thermomechanical characteristics of the composite components are
incompatible. For plastic materials, these stresses can lead to local plastic defor-
mations and defects; for brittle materials, to local cracking. Since these defects are
localized and latent, they are not always detectable. Therefore, the problem of
their theoretical forecasting seems to be relevant.
To simulate these effects, in this work, on the basis of the theory of thermoe-
lasticity, the problem is posed of a planar thermally deformed state of an elastic
medium containing an elastic rod of a circular cross section with different ther-
momechanical parameters. For the case of a change in the temperature of the sys-
tem by a constant value, an analytical solution of the constitutive equations is
constructed, expressions for thermal deformations and thermal stresses are ob-
tained. The general regularities of possible negative influence of the thermome-
chanical incompatibility of the system parameters on the internal fields of the ad-
ditional stresses are found. It has been established that the maximum thermal
stresses in the medium are realized on the surface of its contact with an elastic
inclusion, and they decrease along the radial coordinate in proportion to the
square of the distance to the rod axis. The conditions for thermomechanical com-
patibility of the properties of the medium and the rod are formulated, under which
there are no additional thermal stresses in the system. It is shown that in a system
with incompatible parameters, additional thermal stresses can be decreased by
reducing the radial rigidity of the inclusion through insertion a cylindrical cavity
into it.
STATEMENT OF THE PROBLEM
Let us formulate the problem of stationary thermal deformation of an infinite elas-
tic medium 2 (matrix), which is reinforced with rod 1 of circular cross section of
radius 1r . Fig. 1 shows a fragment of this system.
Modelling negative thermomechanical effects in reinforced road structures with thermoelastic …
Системні дослідження та інформаційні технології, 2022, № 2 119
Let’s use a cylindrical coordinate system zOr , axis Oz of which coincides
with the axis of the rod. Let the thermomechanical characteristics of rod 1 and
medium 2 be determined, respectively, by the Lame parameters 1 , 1 and 2 ,
2 and coefficients of thermal linear expansion 1 and 2 . The temperature of
the system changes steadily by the value Т . Let us single out the case when the
thermoelastic relative strains ),,()( zri
z of the bodies 2,1і along the Oz axis
are equal to zero and the system is in a plane axisymmetric thermally deformed
state, described by the equilibrium equations [1, 8, 11, 15, 18]
),2,1(,0
)()()(
i
rdr
d
ii
r
i
r (1)
12r
1
2
y
x
φ
r
Fig. 1. Planar fragment of an elastic medium with a rod inclusion
where )(i
r , )(i
are the normal radial and circumferential stresses of bodies 1
and 2 on the respective areas constr and const . Let us express normal
thermal stresses in terms of strains )(i
r , )(i
, )(i
z :
Tr iii
i
z
i
i
i
rii
i
r )23()()2()( )()()()( ;
Tr iii
i
z
i
ri
i
ii
i )23()()2()( )()()()( ;
).2,1(,)23()()2()( )()()()( iTr iii
ii
ri
i
zii
i
z (2)
Next, we take into account that 0),,()( zri
z . Then expressions (2) will
be simplified
;)23()2()( )()()( Tr iii
i
i
i
rii
i
r
;)23()2()( )()()( Tr iii
i
ri
i
ii
i (3)
).2,1(,)23()()( )()()( iTr iii
ii
ri
i
z
The deformations used in (3) depend on the radial displacement )(ru :
).2,1(,)(,)(
)(
)(
)(
)( i
r
u
r
дr
дu
r
i
i
i
i
r (4)
Taking into account (3), (4), equation (1) is reduced to the form
V.I. Gulyayev, V.V. Mozgovyi, N.V. Shlyun, L.V. Shevchuk
ISSN 1681–6048 System Research & Information Technologies, 2022, № 2 120
0
11 )(
2
)(
2
)(2
i
ii
u
rdr
du
rdr
ud
(5)
for each body 2,1i .
Let us represent equation (5) in a more compact form:
).2,1(,0)(
1 )(
iru
dr
d
rdr
d i (6)
Integrating the left side of equation (6) twice over r , get his solutions
21
)1( 1
)( C
r
rCru at ;1i
43
)2( 1
)( C
r
rCru at .2i (7)
The unknown constants )4,1( іCі included here are determined from the
boundary conditions and the contact equation for 1rr :
0)0()0( u ; (8)
)()( 1
)2(
1
)1( ruru rr ; (9)
)()( 1
)2(
1
)1( rr rr ; (10)
0)()2( rr at r . (11)
Condition (8) implies
02 С .
Using equalities (7), we express the strains and stresses of bodies 1 and 2 in
terms of )4,3,1( іCі :
;)(,)( 1
)1(
1
)1( CrCrr ;
1
)(,
1
)( 423
)2(
423
)2( C
r
CrC
r
Crr
;)23()(2)( 111111
)1( TCrr (12)
.)23(
2
)(2)( 22242
1
2
322
)2( TC
r
Crr
Condition (11) and the last equality of system (12) imply:
ТС
2
22
22
3 )(2
23
.
Constants 1С and 4С are found from the system of equations (9), (10) trans-
formed taking into account equalities (12),
,
))((2
])23())(23[(
22211
222212211
1
Т
С
.
))((2
]))(23())(23[(
22211
2112212211
2
1
4
Тr
С
Modelling negative thermomechanical effects in reinforced road structures with thermoelastic …
Системні дослідження та інформаційні технології, 2022, № 2 121
Knowing constants )4,1( іCі , find the displacement functions:
,)0( ,
)()(2
])23()()23[(
1
22211
222212211)1( rr
Tr
ru
Trru 2
22
21)2(
)(2
)23(
)(
22211
2112212211
2
1
)()(2
])()23()()23[(
+
Tr
, )( 1rr .
Note that in the equation for )()2( ru the first term is the radial displacement
in a homogeneous medium 2 in the absence of rod 1, the second term is due to the
influence of body 1. It decreases in proportion to radius r .
We also give expressions for the stresses in rod 1:
;
))((
]`)()23()()23[(
)(
22211
21122122112)1()1(
T
rr
)()1( rz
,
))((
])3()()()23([
22211
221221212211
T
)0( 1rr (13)
and in medium 2:
;
)()(
])()23())(23[(
)(
22211
21122122112
2
2
1)2(
T
r
r
rr
;
)()(
]))(23())(23[(
)(
22211
21122122112
2
2
1)2(
T
r
r
r
. )( ,
)(
)23(
)( 12
22
222)2( rrTrz
(14)
Graphs of these functions are shown in Fig. 2. They indicate that additional
Fig. 2. Graphs of the thermal stresses distribution in the plane of the axial section of the
reinforced system under planar thermal deformation
)1()1(
r
1r r
)1(
)1(
r
V.I. Gulyayev, V.V. Mozgovyi, N.V. Shlyun, L.V. Shevchuk
ISSN 1681–6048 System Research & Information Technologies, 2022, № 2 122
thermal stresses )()2( rr , )()2( r , caused by the inclusion of reinforcing rod 1
into medium 2, are local in nature and decrease in proportion to the square of the
radial coordinate. In addition, they are equal to each other in absolute value and
differ in signs, which depend on the ratio of quantities 1 and 2 . So if 21 ,
then, as follows from the form of the numerators of formula (14) with 0T ,
21 , there are inequalities 0)()2( rr , 0)()2( r , and if 21 , then vice
versa, 0)()2( rr , 0)()2( r . This means that, since asphalt concrete has a
lower tensile strength than compressive strength, under any temperature Т
changes, unfavorable thermal stresses will be realized for )()2( rr or )()2( r .
It is also obvious that the values of thermomechanical parameters, at which
the numerators of fractions (14) of functions )()2( rr , )()2( r are zero, are ther-
mally compatible. Therefore, equality
0)()23()()23( 2112212211 (15)
represents a condition for the compatibility of the thermomechanical parameters
of the matrix and the reinforcing rod.
Condition (15) can be simplified if to replace the Lame parameters and
with modulus of elasticity E and Poisson’s ratio , using formulas
;
)21()1(
E
)1(2
E
.
Then, instead of (15) we have a simpler record of this condition
1
2
2
1
11
.
As an example, consider the case when a fiberglass reinforcing rod of radius
1r with thermomechanical parameters 2.301 GPa, 9.121 GPa,
16
1 K 1021 is located in an asphalt concrete medium with parameters
39.12 GPa, 08.22 GPa, 16
2 K 1010 . It is accepted that
K20Т . With these data, the thermal stresses in the system amounted to
298.1)1()1( r MPa, 541.15)1( z MPa,
2
2
1)2( 298.1
r
r
r MPa,
2
2
1)2( 298.1
r
r
z MPa, 9986.0)2( z MPa.
If we take into account that the ultimate strength of asphalt concrete in com-
pression is 205 MPa, and in tension it turns out to be several times less than
these values, then we can conclude that under the considered conditions, addi-
tional thermal stresses in asphalt concrete, caused by the insertion of a fiberglass
reinforcing rod into it, can lead to the occurrence of local defects in its small
neighbourhood.
Modelling negative thermomechanical effects in reinforced road structures with thermoelastic …
Системні дослідження та інформаційні технології, 2022, № 2 123
REDUCING THE LEVEL OF ADDITIONAL THERMAL STRESSES ON
TUBULAR REINFORCING RODS
As can be seen from equalities (13), (14), additional stresses )(i
r , )(i
)2,1( i
are determined not only by the values of coefficients 1 , 2 , but also by elastic-
ity parameters i , i )2,1( i , which are included in the numerators of fractions
(13), (14) in the third powers, and in the denominators — in the second ones.
Therefore, additional thermal stresses in the system increase with increasing i ,
i )2,1( i or, for example, with an increase in the radial rigidity of rod 1 (while
maintaining its axial strength and rigidity). Conversely, they decrease as this stiff-
ness decreases. Given this property, we can propose to use tubular rods as rein-
forcement in asphalt concrete pavements (Fig. 3). Let us investigate the thermally
stressed state in this case. Let 1r and 2r be the inner and outer radii of pipe 1, re-
spectively, the dimensions of medium 2
are unlimited. Let us assume, as above,
that i , i , i )2,1( i be the ther-
momechanical parameters of bodies 1
and 2, Т — difference in body tem-
perature in the initial and final states.
Let us find the functions of thermal
stresses in the system for the case of its
axisymmetric planar thermally deformed
state.
Similarly to the case of a solid rod,
the equations of thermoelasticity of the
system have form (1) – (6). The solution
of these equations is again formulated in
the form of functions of radial displacements of body 1
,)(
1
)( 21211 rrrC
r
rCru
and for medium 2
.)(
1
)( 2432 rrC
r
rCru
At the same time, constants )4,1( iCi are found from the conditions:
;)()(;0)( 2
)2(
2
)1(
1
)1( rururr
;)()( 2
)2(
2
)1( rr rr .at 0)()2( rrr
After appropriate substitutions, these equations are reduced to the form:
;0)23(
2
)(2 11122
1
1
111
TC
r
C
;0
11
42
2
322
2
1 C
r
CC
r
C
Fig. 3. Planar fragment of an elastic
medium with a tubular inclusion
1
2
22r
12r
V.I. Gulyayev, V.V. Mozgovyi, N.V. Shlyun, L.V. Shevchuk
ISSN 1681–6048 System Research & Information Technologies, 2022, № 2 124
TC
r
C 11122
2
1
111 )23(
2
)(2
;0)23(
2
)(2 22242
2
2
322
TC
r
C
.0)23()(2 222322 TC (16)
From the last equation of this system, we obtain
.
)(2
)23(
2
22
22
3 TC
Next, from the remaining equations of system (16) we find:
2
2
2
12
1
2
211
2
1
1
22
2
11
2112212211
2
1
1
1
111
)(
)()(2
]))(23())(23([
rrrr
Т
r
С
;
)(2
)23(
1
11
11 Т
;
111
)(
))((2
]))(23())(23([
2
2
2
12
1
2
211
2
1
1
2211
2112212211
2
rrrr
Т
С
.
111
)(
))((2
]))(23())(23[(11
2
2
2
12
1
2
211
2
1
1
2211
2112212211
2
2
2
12
1
2
2
4
rrrr
Т
rr
r
С
Using the found constants, you can build expressions for displacements
; )( ,
1
)( 2121 rrrC
r
rCru )( ,
1
)( 243 rrC
r
rCru
and stresses
;)23(
2
)(2)( 11122
1
111
)1( TС
r
Сrr
;)23(
2
)(2)( 11122
1
111
)1( TС
r
Сr
)( ,)23(2)( 2111111
)1( rrrTСrz
in rod 1 and
;
2
)( 42
2)2( С
r
rr
;
2
)( 22
1)2( С
r
r
)( ,)23(2)( 122232
)2( rrTСrz
in medium 2.
Table shows the stress values )1(
r , )1(
, )1(
z on surfaces 1rr and 2rr
of fiberglass body 1 and stresses )2(
r , )2(
, )2(
z on surface 2rr of asphalt
Modelling negative thermomechanical effects in reinforced road structures with thermoelastic …
Системні дослідження та інформаційні технології, 2022, № 2 125
concrete medium 2 for relations 0.9 and 0.75, ,5.0/ 21 rr at the values of the
thermomechanical parameters given above and the temperature difference
20Т К.
Values of thermal stresses in the medium reinforced with a tubular rod
21 / rr
Types of thermal stresses
0.0 0.5 0.75 0.9
)( 1
)1( rr MPa 1.2981 0 0 0
)( 1
)1( r MPa 1.2981 3.2455 4.5766 7.3764
)( 1
)1( rz MPa 15.541 15.569 16.235 17.215
)( 2
)1( rr MPa 1.2981 1.2171 1.0011 0.7008
)( 2
)1( r MPa 1.2981 2.0285 3.5742 6.6752
)( 2
)1( rz MPa 15.541 15.569 16.235 17.215
)( 2
)2( rr MPa 1.2981 1.2171 1.0011 0.7008
)( 2
)2( r MPa -1.2981 -1.2171 -1.0011 -0.7008
)( 2
)2( rz MPa 0.9986 0.9986 0.9986 0.9986
The question of the distribution in the radial direction of additional thermal
stresses )()( ri
r , )()( ri
deserves a special interest. Fig. 4 shows the graphs of
these functions for case 75.0/ 21 rr .
As can be seen, additional thermal stresses )()2( rr , )()2( r in the asphalt
concrete have the highest values on the contact surface 2rr and they decrease
rapidly in the radial direction.
An analysis of the above results indicates that the replacement of a solid re-
inforcing rod with a tubular one leads to a noticeable decrease in additional local
thermal stresses in the matrix medium, although the thermal stresses in the rod
increase somewhat. This effect becomes more noticeable as the thickness of the
tube rod decreases.
Fig. 4. Graphs of distribution of thermal stresses )()( ri
r , )()( ri
(MPa) for case
75,0/ 21 rr
2 3 2rr0
-
1.001
1.001
3.5742
4.5746
)()1( r
)()1( rr
)()2( r
)()2( rr
1 4
V.I. Gulyayev, V.V. Mozgovyi, N.V. Shlyun, L.V. Shevchuk
ISSN 1681–6048 System Research & Information Technologies, 2022, № 2 126
CONCLUSION
1. The problem associated with the modelling of the formation of additional
thermal stresses, defects and destructions in the medium of an asphalt concrete
pavement with the insertion of a reinforcing rod into it is considered. On the basis
of thermoelasticity methods, the system of differential equations is formed for a plane
axisymmetric deformed state of an infinite cylindrical elastic body in an infinite
elastic medium under condition of a change in the temperature of the system.
2. An analytical solution of the formulated equations is constructed in a
closed form, which determines the additional thermal displacements, additional
strains and stresses in the system. It is shown that additional thermal stresses have
the highest values on the contact surface of the reinforcing rod and the coating
array and decrease in inverse proportion to the square of the distance from this
surface. It has been established that the values of these stresses enlarge with an
increase in the thermomechanical incompatibility of the system materials and the
radial stiffness of the rod. On the example of asphalt concrete reinforced with a
fiberglass rod, it was demonstrated that even with moderate temperature changes,
additional thermal stresses in asphalt concrete can reach critical values.
3. A method is proposed for reducing additional thermal stresses by reduc-
ing the radial stiffness of the reinforcement by replacing a solid rod with a hollow
tube. Theoretical modelling of this effect showed that with a decrease in the tube
wall thickness, the decrease in additional contact thermal stresses in asphalt con-
crete becomes significant.
REFERENCES
1. T.G. Beleicheva and K.K. Ziling, “Thermoelastic axisymmetric problem for a two-
layer cylinder”, J. Appl. Mech. Technical Physics, 19, pp. 108–113, 1978.
2. Boubaker Fetiza Ali, Khedoudja Soudani, and Smail Haddadi, “Effect of waste plas-
tic and crumb rubber on the thermal oxidative ageing of modified bitumen”, Road
Mat. and Pav., vol. 23, issue 1, pp. 222–233, Dec. 2022.
3. Brian Hill et al., “Evaluation of low temperature viscoelastic properties and fracture
behavior of bio-asphalt mixtures”, International Journal of Pavement Engineering,
vol. 19, issue 4, pp. 362–369, 2018.
4. R.M. Christensen and K.H. Lo, “Solutions for effective shear properties in three-
phase sphere and cylinder models”, J. Mech. Phys. Solids., vol. 27, pp. 315–330, 1979.
5. Christian Karch, “Micromechanical analysis of thermal expansion coefficient”,
Modeling and Numerical Simulation of Material Science, vol. 3, pp. 1–15, 2014.
6. R.M. Christiansen, Mechanics of Composite Materials. Wiley: New York, NY,
USA, 1979.
7. Gholamali Shafabakhsh, Mohammadreza Aliakbari Bidokhti, and Hassan Divandan,
“Evaluation of the performance of SBS/Nano-Al2O3 composite-modified bitumen at
high temperature”, Road Mat. and Paves, vol. 22(11), pp. 2523–2537, 2021.
8. R.B. Hetnarski and J. Ignaczak, Mathematical Theory of Elasticity. New York: Tay-
lor and Francis, 2004.
9. Jorge Pais et al., “The adjustment of pavement deflections due to temperature
variations”, International Journal of Pavement Engineering, vol. 21, issue 13,
pp. 1585–1594, 2020.
10. J.W. Ju and T.M. Chen, “Effective elastic moduli of two-phase composites con-
taining randomly dispersed spherical inhomogeneities”, Acta Mech., 103(1),
pp. 123–144, 1994.
11. A.D. Kovalenko, Thermoelasticity: Basic Theory and Applications. The Netherlands:
Wolters-Noordhoff Groningen, 1972.
12. Marcela Fiedlerova, Petr Jisa, and Kamil Stepanek, “Using various thermal analyti-
cal methods for bitumen characterization”, International Journal of Pavement Re-
search and Technology, vol. 14, issue 4, pp. 459–465, 2021.
Modelling negative thermomechanical effects in reinforced road structures with thermoelastic …
Системні дослідження та інформаційні технології, 2022, № 2 127
13. Md Amanul Hasan and Rafiqul A. Tarefder, “Development of temperature zone map
for mechanistic empirical (ME) pavement design”, Journal of Pavement Research
and Technology, vol. 11, issue 1, pp. 99–111, 2018.
14. Mirosław Graczyk, Józef Rafa, and Adam Zofka, “Pavement modelling using me-
chanical and thermal homogenization of layered systems”, Roads and Bridges -
Drogi i Mosty, 17(2), pp. 141–157, 2018.
15. W. Nowacki, Thermoelasticity; 2 nd ed. Oxford: PWN – Polish Scientific Publishers,
Warsaw and Pergamon Press, 1986.
16. Dian M. Setiawan, “The role of temperature differential and subgrade quality on
stress, curling, and deflection behavior of rigid pavement”, Journal of the Mechani-
cal Behavior of Materials, vol. 29, issue 5–6, id.10, 12 p.
17. Tarn Minh Phan, Tri Ho Minh Le, and Dae-Wook Park, “Evaluation of cracking re-
sistance of healed warm mix asphalt based on air-void and binder content”, Road
Materials and Pavement Design, vol. 23, issue 1, pp. 47–61, 2022.
18. D.E. Carlson, “Thermoelasticity”, in Truesdell C. (ed) Encyclopedia of physics,
vol. Vla/2: mechanics of solids, Springer, Berlin, 1972.
19. Yang Liu, Zhendong Qian, and Dong Zheng, “Meng Zhang Interlaminar thermal ef-
fect analysis of steel bridge deck pavement during gussasphalt mixture paving”, In-
ternational Journal of Pavement Engineering, vol. 20, issue 11, pp. 1323–1335, 2019.
20. Yingjun Jiang, Changqing Deng, Zhejiang Chen, and Yuhang Tian, “Evaluation of
the cooling effect and anti-rutting performance of thermally resistant and heat-
reflective pavement”, International Journal of Pavement Engineering, vol. 21,
issue 4, pp. 447–456, 2020.
Received 02.05.2022
INFORMATION ON THE ARTICLE
Valery I. Gulyayev, ORCID: 0000-0002-5388-006X, National Transport University,
Ukraine, e-mail: valery@gulyayev.com.ua
Volodymyr V. Mozgovyy, ORCID: 0000-0002-1032-8048, National Transport
University, Ukraine, e-mail: mozgoviy@gmail.com
Nataliia V. Shlyun, ORCID: 0000-0003-1040-8870, National Transport University,
Ukraine, e-mail: nataliyashlyun@gmail.com
Lyudmyla V. Shevchuk, ORCID: 0000-0002-5748-9527, National Transport University,
Ukraine, e-mail: ludmilashevchuk25@gmail.com
НЕГАТИВНІ ТЕРМОМЕХАНІЧНІ ЕФЕКТИ В АРМОВАНИХ ДОРОЖНІХ
КОНСТРУКЦІЯХ ЗА ТЕРМОПРУЖНОЇ НЕСУМІСНОСТІ МАТЕРІАЛІВ
ПОКРИТТЯ ТА АРМАТУРИ / В.І. Гуляєв, В.В. Мозговий, Н.В. Шлюнь, Л.В. Шевчук
Анотація. Явища утворення локальних дефектів і тріщин в асфальтобетонних
покриттях автомобільних доріг та мостів найчастіше спостерігаються у кліма-
тичних зонах з великими перепадами температур за їх сезонних та добових
змін. Значною мірою це зумовлено неоднорідністю термомеханічних власти-
востей матеріалів шарів покриттів та основи. Для попередження цих явищ в
конструкції покриттів уводять армувальні стрижні і сітки. У роботі методами
теорії термопружності показано, що у випадках несумісності термомеханічних
характеристик матеріалів асфальтобетону та арматури в її малому околі вини-
кають додаткові локалізовані термонапруження, які навіть за помірних значень
перепадів температури можуть досягати критичних значень та призводити до
локальних дефектів і тріщин. Оскільки ці дефекти мають прихований харак-
тер, їх не завжди можна виявляти.
Ключові слова: асфальтобетонне покриття, стрижнева арматура, термомеха-
нічна несумісність, концентрація термонапруг.
|
| id | journaliasakpiua-article-253675 |
| institution | System research and information technologies |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2025-07-17T10:27:47Z |
| publishDate | 2022 |
| publisher | The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" |
| record_format | ojs |
| resource_txt_mv | journaliasakpiua/4b/a49ad17a69364bb0fb5ae33b341bc64b.pdf |
| spelling | journaliasakpiua-article-2536752022-10-17T22:12:39Z Modelling negative thermomechanical effects in reinforced road structures with thermoelastic incompatibility of coating and reinforcement materials Негативні термомеханічні ефекти в армованих дорожніх конструкціях за термопружної несумісності матеріалів покриття та арматури Gulyayev, Valery Mozgovyy, Volodymyr Shlyun, Nataliia Shevchuk, Lyudmyla асфальтобетонне покриття стрижнева арматура термомеханічна несумісність концентрація термонапруг reinforced asphalt concretes thermomechanical incompatibility mathematical modelling destruction prevention The phenomena of the formation of local defects and cracks in asphalt concrete pavements of roads and bridges are most often observed in climatic zones with large temperature differences during their seasonal and daily changes. To a large extent, this is due to the heterogeneity of the thermomechanical properties of the materials of the coating layers and the base. To prevent these phenomena, reinforcing rods and meshes are introduced into the coating structure. In this work, using the theory of thermoelasticity, it is shown by the method of mathematical modelling that in cases of incompatibility of the thermomechanical characteristics of asphalt concrete materials and reinforcement, additional localized thermal stresses arise in its small vicinity, which, even at moderate temperatures, can reach critical values and lead to local defects and cracks. Since these defects are latent, they cannot always be detected in practice. The presented results of analytic calculation validated these conclusions. They can be used in both road building and composite design. Явища утворення локальних дефектів і тріщин в асфальтобетонних покриттях автомобільних доріг та мостів найчастіше спостерігаються у кліматичних зонах з великими перепадами температур за їх сезонних та добових змін. Значною мірою це зумовлено неоднорідністю термомеханічних властивостей матеріалів шарів покриттів та основи. Для попередження цих явищ в конструкції покриттів уводять армувальні стрижні і сітки. У роботі методами теорії термопружності показано, що у випадках несумісності термомеханічних характеристик матеріалів асфальтобетону та арматури в її малому околі виникають додаткові локалізовані термонапруження, які навіть за помірних значень перепадів температури можуть досягати критичних значень та призводити до локальних дефектів і тріщин. Оскільки ці дефекти мають прихований характер, їх не завжди можна виявляти. The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" 2022-08-30 Article Article application/pdf https://journal.iasa.kpi.ua/article/view/253675 10.20535/SRIT.2308-8893.2022.2.09 System research and information technologies; No. 2 (2022); 117-127 Системные исследования и информационные технологии; № 2 (2022); 117-127 Системні дослідження та інформаційні технології; № 2 (2022); 117-127 2308-8893 1681-6048 en https://journal.iasa.kpi.ua/article/view/253675/261709 |
| spellingShingle | асфальтобетонне покриття стрижнева арматура термомеханічна несумісність концентрація термонапруг Gulyayev, Valery Mozgovyy, Volodymyr Shlyun, Nataliia Shevchuk, Lyudmyla Негативні термомеханічні ефекти в армованих дорожніх конструкціях за термопружної несумісності матеріалів покриття та арматури |
| title | Негативні термомеханічні ефекти в армованих дорожніх конструкціях за термопружної несумісності матеріалів покриття та арматури |
| title_alt | Modelling negative thermomechanical effects in reinforced road structures with thermoelastic incompatibility of coating and reinforcement materials |
| title_full | Негативні термомеханічні ефекти в армованих дорожніх конструкціях за термопружної несумісності матеріалів покриття та арматури |
| title_fullStr | Негативні термомеханічні ефекти в армованих дорожніх конструкціях за термопружної несумісності матеріалів покриття та арматури |
| title_full_unstemmed | Негативні термомеханічні ефекти в армованих дорожніх конструкціях за термопружної несумісності матеріалів покриття та арматури |
| title_short | Негативні термомеханічні ефекти в армованих дорожніх конструкціях за термопружної несумісності матеріалів покриття та арматури |
| title_sort | негативні термомеханічні ефекти в армованих дорожніх конструкціях за термопружної несумісності матеріалів покриття та арматури |
| topic | асфальтобетонне покриття стрижнева арматура термомеханічна несумісність концентрація термонапруг |
| topic_facet | асфальтобетонне покриття стрижнева арматура термомеханічна несумісність концентрація термонапруг reinforced asphalt concretes thermomechanical incompatibility mathematical modelling destruction prevention |
| url | https://journal.iasa.kpi.ua/article/view/253675 |
| work_keys_str_mv | AT gulyayevvalery modellingnegativethermomechanicaleffectsinreinforcedroadstructureswiththermoelasticincompatibilityofcoatingandreinforcementmaterials AT mozgovyyvolodymyr modellingnegativethermomechanicaleffectsinreinforcedroadstructureswiththermoelasticincompatibilityofcoatingandreinforcementmaterials AT shlyunnataliia modellingnegativethermomechanicaleffectsinreinforcedroadstructureswiththermoelasticincompatibilityofcoatingandreinforcementmaterials AT shevchuklyudmyla modellingnegativethermomechanicaleffectsinreinforcedroadstructureswiththermoelasticincompatibilityofcoatingandreinforcementmaterials AT gulyayevvalery negativnítermomehaníčníefektivarmovanihdorožníhkonstrukcíâhzatermopružnoínesumísnostímateríalívpokrittâtaarmaturi AT mozgovyyvolodymyr negativnítermomehaníčníefektivarmovanihdorožníhkonstrukcíâhzatermopružnoínesumísnostímateríalívpokrittâtaarmaturi AT shlyunnataliia negativnítermomehaníčníefektivarmovanihdorožníhkonstrukcíâhzatermopružnoínesumísnostímateríalívpokrittâtaarmaturi AT shevchuklyudmyla negativnítermomehaníčníefektivarmovanihdorožníhkonstrukcíâhzatermopružnoínesumísnostímateríalívpokrittâtaarmaturi |