Prediction of the Residual Resource of Pneumatic Tire Materials
from Accumulation and Type of Damage
DMITRY DMITRIEV1, SERHII CHURSOV1, SERHII RUSANOV2
1Department of Automation, Robotics and Mechatronics, Faculty of Engineering and Transport,
Kherson National Technical University,
Instytutska 11 Street, 29016 Khmelnytskyi,
UKRAINE
2Department of Transport Systems and Technical Service, Faculty of Engineering and Transport,
Kherson National Technical University,
Instytutska 11 Street, 29016 Khmelnytskyi,
UKRAINE
Abstract: - The present paper examines the mechanical characteristics at the boundary of the distribution of
rubber matrix and metal and fabric fibrous materials as a distinct area in the crack braking mechanism, and
their impact on the durability of pneumatic tires in the event of damage accumulation during operation.
Experimental studies were conducted on the delamination of the components of the tire material composition in
samples obtained from diverse locations of the car tire. The strength of the rubber matrix fibers of the metal
cord was determined, which makes it possible to assess the overall strength of the tire material as a composition
of reinforcing elements and the matrix during the accumulation of damage created artificially during operation.
The method of experimental research is reasonably stable. The nature and behavior of the sample rupture
during the tests were evaluated.
Key-Words: - composite material, fibers, destruction, material strength, rubber matrix, tire materials,
accumulation and type of damage.
Received: July 12, 2023. Revised: February 12, 2024. Accepted: March 4, 2024. Published: April 26, 2024.
1 Introduction
Modern research and approaches to the construction
of rubber-elastic shells with a multi-component
composition of materials of various origins as
composites allow designers, technologists,
marketers in various industries to understand and
predict exactly what indicators should be expected
from tires, [1], [2], [3], [4]. Tests of ready-made
pneumatic tires are based on a set of important
criteria, structural strength, quality of rubber
compounds, homogeneity, stiffness and geometric
characteristics of tires are checked. The
development of a pneumatic tire design with a high
operational level requires a series of experimental
studies to determine stability and reliability.
However, the vast majority of test and bench tests,
including independent tests to ensure these
parameters, are directed beyond the direct study of
material properties, [5], [6], [7], [8], [9], [10]. In
their own maneuvers, overcoming obstacles,
braking, and critical operating situations, pneumatic
tire materials perceive the most complex external
influences and change their own properties during
operation, which cannot be directly monitored as a
vector of influences and loads and evaluated, but
only based on a priori information on changes in
material properties. Therefore, it is necessary to
consider the determination of the strength of the
rubber composition as a matrix reinforced with
metal fibers and the influence of their ratio on
resistance to damage, [3], [4], [11], [12], during the
operation of automobile tires. An alternative to
experimental testing is numerical modeling, [1], [3],
[13], [14], using the finite element method, [5], [6],
[7], [9], [10], thanks to which deformations, [3],
[11], [13], and stress states, [11], are estimated,
which arise in the structure of the tire, and introduce
correlating changes in the design and composition
of materials, [2], [3], [4], [8], [11], [12]. Predicting
the tired resource of pneumatic tire materials
shortens the development cycle and reduces the cost
of pneumatic tires by increasing resource indicators,
which is important for reducing the use of raw
materials and reducing environmental
pollution, [15]. The utilization of modeling is
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imperative for enhancing the parameters of tire
design and minimizing defects during the process of
tire production. The mechanical properties of elastic
materials from various tire components are
investigated using experiments with cyclic loading
and unloading at different speeds and deformations,
[11]. The deformation and stress of the rubber
components, [11], [12], [14], [16], [17], [18], [19],
[20] and the reinforcement of the cord during the
manufacturing stage can be obtained using
simulations, which provide data to evaluate the
rationality of the tire design, [12]. In this regard, the
task of researching the accumulation of damage in
tire material is relevant. Attention is paid to the
mechanical properties of the matrix, in which
various types of damage accumulate, resulting in a
redistribution of loads in fibrous fillers (metal cord,
fabric) and their distribution boundaries, [14].
To date, little has been studied about the
different types of pneumatic tire failures, which
include plastic, central burst, brittle, fatigue,
twisting, corrosion, delamination, and seam failure.
it is necessary to check the measured constants of
the material by the methods of numerical modeling
of the tire, comparing the results with the actual data
of tests of mechanical properties contained in the
technical documentation for the tire.
2 Experimental Process
Pneumatic tire materials represent a complex
composite structure reinforced with both metallic
and non-metallic fibers. Despite the rather wide
application and established (stability) views
regarding the mechanical characteristics of tire
materials, different conditions of their operation
directly affect the resource, passing capacity, and
safety of car traffic, [1], [2], [5], [6], [7]. In this
work, bench cyclic loads on special equipment were
combined with tests for tension, delamination, and
fracture analysis. The strength of the composition of
rubber as a matrix reinforced with metal fibers and
the influence of their ratio on resistance to damage
during the operation of car tires was determined.
The metal and fabric fibers were considered
separately for the tensile test of the matrix and the
matrix was separately removed while preserving the
fibers. Today, it is necessary to describe in detail
various types of component metal destruction in the
form of a cord or side wire, as well as its mechanism
in the form of both physical and morphological
phenomena. This paper combines the relevance of
each of these types of destruction with the
improvement of technological processes for the
production of metal cords, on-board wire, and the
elimination of malfunctions in the operation of tires.
To gain a more comprehensive comprehension and
characterization of damage at locations of
operational destruction of surfaces, it is imperative
to examine the micro geometry, surface
morphology, conditions of crack propagation, in the
middle of materials and at the border of fractures,
and conduct a comprehensive examination of the
macro and microstructure of the material of
pneumatic tires, [21].
The theoretical basis for solving the tasks was
the works, [2], [3], [4], [11], [12], [15], [22], [23],
[24], [25].
The relationship between pneumatic tire damage
and the properties of the tire material in the process
of accumulating damage was established using a
phenomenological approach. The analysis of
patterns of change in the properties of rubber-cord
materials of pneumatic tires was performed, which
is an important problem in the study of operational
characteristics for vehicles.
Unlike most traditional rubber compound and
tire composite tests, which are subject to tensile
forces (tensile strength and pull-off strength) or
compressive forces (indentation hardness), the dual-
layer fatigue configuration stresses the rubber layer
between the steel belts of the tire.
The aforementioned techniques were employed
to investigate the mechanical characteristics at the
boundary of the distribution of the rubber matrix
and metal and fabric fibrous materials as a distinct
area in the crack braking mechanism, and their
impact on the durability of pneumatic tires during
the accumulation of damage during operation.
3 Results and Discussion
Among the many methods of pneumatic tire
research, [21], it is possible to single out the method
of determining the connection in the elements of the
pneumatic tire chamber, the essence of which is the
layering of the tire elements on the power
equipment with the fixation of the increase in force
until the moment of destruction. Using this method,
research was carried out on the forces and
calculation of tire elements at the boundaries of the
"rubber-metal fibers of the cord", "metal fibers of
the cord" (between the fibers), and "rubber-fabric"
joints. In Table 1, the delamination force at different
sections of the car tire was determined.
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Table 1. Measured explosion stress at the boundary of different tire material components
The border distribution
Stratification effort, N
Width layering of material, mm
«rubber-rubber»
40
15
«metal fibers»
60
«rubber-metal fibers»
90
"rubber-cloth"
80
Figure 1 presents the results of the study of the
mechanism and kinematics of the destruction of
compositions of fibrous and metallic materials, as
well as the mechanical properties at the boundary of
the distribution of the rubber matrix and metallic
and fibrous materials, as a separate area in the crack.
Fig. 1: Sample delamination and fracture surface at
the "rubber-fiber metal cord" interface (a), between
the cord fibers (b)
The mechanical properties at the boundary of
the distribution of the rubber matrix and metal and
fabric fibrous materials, as a separate area in the
crack braking mechanism, and its effect on the
durability of pneumatic tires are considered when
damage is accumulated during operation.
Experimental studies were conducted on the
delamination of the components of the tire material
composition in samples obtained from diverse
locations of the car tire. The strength at the interface
of the rubber matrix fibers of the metal cord and
between the fibers of the cord was determined. This
makes it possible to assess the overall strength of
the tire material as a composition of reinforcing
elements and the matrix during the accumulation of
damage created artificially.
Reinforcing fibers are intended to be used as a
shearing mechanism for breaking cracks by the
fibers themselves on the matrix adhesion surface.
Experimental studies on the delamination of
elements of the composition of the tire material in
samples made from different places of the car tire
and transitional layers that form connections
between reinforcing fibers are shown in Figure 2.
Mechanical damage during the operation of
automobile tires can cause braking cracks.
c)
d)
Fig. 2: Samples for testing: a), b), c), d) - fractograms of delamination sites
"rubber", "metal fibers", "rubber-metal fibers", and "rubber-fabric", respectively
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а)
b)
Fig. 3: Microgeometry of the delamination of the rubber matrix in two mutually perpendicular directions on the
surface of the sample: along the horizontal axis (a), along the horizontal axis (b)
Fractographic studies are related to establishing
the correspondence between the relief of the fracture
surface and the type of force impact, as well as the
load conditions. The criterion for the correct
interpretation of information about the destruction
process as a result of the analysis of an operational
fracture is the reproduction of a similar topography
of the fracture in laboratory conditions.
The idea of the similarity of destruction in a
laboratory experiment and operating conditions is
reliable only from the point of view of the similarity
of the reaction of the material to the impact in
experience and operation. The development of
destruction with the formation of one or another
fracture relief is a self-similar process that can be
implemented under different load conditions.
A different picture is observed during the long-
term operation of automobile tires and the
accumulation of small damages (Figure 3) during
repeated static and dynamic loading, therefore,
fractographic analysis provides a real picture when
studying the heterogeneous structure of defects
arising as a result of fatigue and other causes of
failure of automobile tires, [4].
The determination of the strength at the
interface between the rubber matrix and the fibers of
the cord was conducted. This enables the evaluation
of the overall strength of the tire material as a
combination of reinforcing elements and the matrix
during the accumulation of damage created
artificially during operation. The experimental
research methodology employed is relatively stable,
and the nature and behavior of the sample rupture
during tests were evaluated. Additionally, the
morphology of the fracture on the surface of the
interaction between the reinforcing wire fibers and
the rubber matrix was evaluated. Particular attention
should be paid to the mechanical properties of the
matrix, which can accumulate various types of
damage. Particular attention should be paid to the
mechanical properties of the matrix, [2], [3], [4],
[11], in which various types of damage accumulate,
[5], [6], [7], [8], [11], resulting in a redistribution of
loads in fibrous fillers (metal cord, fabric) and their
distribution boundaries. The most accessible
evaluation method is a tensile test.
The strength of the rubber composition as a
matrix reinforced with metal fibers and the effect of
their ratio on resistance to damage during the
operation of automobile tires were determined.
Samples with R 15 and a service life of 20 thousand
km were made for the study (Figure 4).
Fig. 4: Strength testing of rubber-cord material of a
pneumatic tire: a) torn samples, b) tensile diagram
As a result of the accumulation of damage at the
boundary of the distribution of a metal wire with a
rubber matrix, [11], [16], there is a violation of the
flat surface with the presence of wavy irregular
cavities with a depth of 10 to 50 μm. The size and
shape of the cavities increase for cyclic loads
provided in the three directions x, y, and z, the
largest violations of the perimeter are observed in
the cross-section of the wire with increasing lateral
load (Figure 5).
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a)
c)
b)
d)
Fig. 5: Photomicrographs of a damaged metal cord in the macrostructure of a pneumatic tire from a set of bench
loads: a) cyclic vertical loads N=1500; b) cyclic rotary cyclic movement of the wheel N=4500; c) cyclic
horizontal in two coordinates N= 3000; d) combined rotary and linear in 5 coordinates N=7500
Crumbling zone protector
Metal cord
Cord textile frame
Textile cord
а)
b)
Fig. 6: Cross-section with deformations in the macrostructure after operation:
a) 50,000 km; b) 20,000 km
During the accumulation of damage, a change in
the macrostructure in the cross-section is recorded
as a degradation of the constituent elements of the
rubber-cord composition and the boundaries of the
elements, there is a deformation of the location line
of the textile cord and the curvature of the tread
zone with probable mechanical and thermal surface
destruction (Figure 6).
Observations of wear according to the
roughness criterion showed a 40% drop in the Ra
parameter over a period of 24 hours of testing, with
subsequent crushing of the outer surface and the
formation of relatively large defects up to 50-100
microns. The destruction of the outer surface as a
result of tribological interactions with an artificial
obstacle and embrittlement of the surface layer,
which has a light gray color to a depth of up to 1
mm in the tread, was recorded.
4 Conclusion
As a result of the defined processes of damage
development of automobile tires, depending on
various factors and obstacles, a change in
mechanical characteristics was established, namely,
a change in the limit values of the strength limit and
the elasticity coefficient during the accumulation of
damage. The results of fractographic analyses are
related to the establishment of correspondence
between the topography of the fracture surface and
the type of force impact, as well as load conditions.
By testing individual macrophases and distribution
boundaries, specific numerical values of shear and
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axial loads, which the tire can withstand when
overcoming various obstacles and braking, are
determined.
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