The Method of Calculating Ploughshares Durability in Agricultural Machines Verified on Plasma-Hardened Parts

Reliability consists of four components: failure-less operation, maintainability, durability, and preservation ability. For different machines and different conditions of operation, different combinations of these properties, and differences in how they are balanced and proportioned are essential. For tractors, the most important aspect of reliability is maintainability, while for agricultural machines, durability is most important. Using the example of a ploughshare, the issue of increasing the durability has been studied; a method for calculating the durability of a ploughshare for various types of soils has been described. The use of plasma hardening of the surface of a 65G-steel ploughshare has been proposed; the effectiveness of plasma hardening of soil-cutting parts and its economic feasibility have been proved. Due to hardening to a depth of 1–1.8 mm, the service life of parts increases by 2–3 times; moreover the downtime of expensive machine-tractor units for replacing worn-out parts is reduced.


Introduction
The applied and economic significance of the development of agriculture is obvious. The food security of the country depends on it. Nowadays, the leading positions in the development of agriculture are held by China, India, and the United States [1]. At the same time, the basis of agriculture is crop production. In turn, the profitability of crop production largely depends on the efficiency of using machine-tractor units (MTU). Modern high-performance and high-tech MTUs are the primary tool for crop production. The effectiveness of using MTUs depends on a large number of factors. However, no matter how powerful and technological they are, the effectiveness of their use is primarily determined by their reliability. At the same time, the MTU consists of two main parts, the tractor and the process machine; therefore, it is evident that the reliability of the MTU comprises two components, i.e., the reliability of the tractor and the reliability of the process machine. So, in this case, the reliability components will not have the same effect on the tractor and the process machine. For a tractor, the principal factors influencing the efficiency of use are the reliability components, i.e., reliability and maintainability. Their influence on the efficiency of using MTUs and ways of managing the reliability indicators of tractors have already been investigated, and recommendations have already been given for equipping MTUs with tractors of different levels of reliability [2][3][4][5][6][7][8].
To solve the issue of increasing the efficiency of using MTUs in a comprehensive way, it is necessary to investigate the issue of increasing the reliability of the process machine. Soil-cutting machines will be considered process machines in this study, since they perform the leading and most energy-consuming operations in crop production [9][10][11].
to the heterogeneity of the soil, chips appear, while excessively plastic parts undergo plastic deformation, while wear also increases. Thus, to solve our problem, a hardening method is required that allows the hardness of the surface layer of the metal to be increased, and at the same time, allows the elasticity and plasticity of the soil-cutting part to be maintained, and all without increasing the thickness.
Consequently, reliability is paramount for a tractor, and durability is paramount for a process machine, and only after that, comes maintainability in the case of breakdown or wear. In this regard, the issue of the development and production of high-quality and longlife soil-cutters, ensuring compliance with agrotechnical requirements during treatment, which are long-living and competitive in terms of their cost, is quite acute. The method of calculating the durability of the plough blade presented in the article will make it possible to make comparative calculations of durability for different types of soil [14,18,19,[52][53][54][55][56][57]. Moreover, the method of plasma hardening [58][59][60][61][62][63][64][65][66] of soil-cutting working bodies used by us will increase the durability of the plough compared to serial samples and experimentally confirm the correctness of the calculations.

Calculation Methodology Model
In the general case, the service life of the tools can be represented as a function of the following main varying parameters: where T is the service life, h (ha); I is the wear resistance of the tool material, h/g (h/mm); m is the wear capacity of the soil, g/h (mm/h); p is the soil pressure on the working surface of the tool, MPa; ν is the speed of movement of the tool relative to the soil, km/h; and η 1 , η 2 . . . η n are the factors characterising the change in the main parameters depending on the condition of the soil, the composition of the material of the tools, and the modes of their heat treatment, the design parameters of the tools, etc. It is possible to manage the service life of the tools if the general pattern of ensuring their performance and the nature of wear in the soil are known. Many papers are devoted to the establishment of such patterns and the development of recommendations for determining the intensity of wear and predicting the service life of tools. However, their practical application is constrained because they do not fully take into account those complex dependencies that exist in the process of abrasive wear. Notably, it was revealed that the relative wear resistance of materials and the wear capacity of the abrasive medium (soil) are not constant values. They vary depending on the pressure of the abrasive medium on the tool. The lack of a reasonably simple methodology for determining the wear rate and the service life of tools hinders the development and justification of using new materials and technologies when hardening tools to increase their service life. These circumstances have led to the fact that modern ploughs today use ploughshares, the design parameters and materials developed more than 40 years ago. However, their operation modes have changed significantly, i.e., the processing speed, the weight of the machines, and, consequently, and the compaction of soils within the processing period, especially when harvesting, have all increased. All this leads to an increase in the load on the tools and, accordingly, their wear rate.
A characteristic feature of the soil-cutting tools is a relatively large area of contact with the cultivated soil. In this case, the loads on individual sections of the working surface differ significantly. For example, the ploughshare has the most significant pressure on the tip and significantly less pressure on the blade. In this regard, the wear rate of different sections is not the same. Consequently, the tools are rejected due to the wear rate on one relatively small section, while the rest of the sections have a significant residual life.
Let us consider the methodology for predicting the service life on the example of a ploughshare, depending on the types of soils, materials of which it is made and which are used to harden it, and changes in some design parameters. The intensity of wear of tools has been studied in the field, and research materials of other authors have been used [12][13][14][15]19]. Consequently, a mathematical expression of the abrasive wear rate of the tools has been developed, depending on several parameters. In the general case, wear rate, cm, of the most wear-prone section is calculated as follows: where k ref is the factor of proportionality of the wear of the reference sample under reference conditions: k ref = 0.016 cm/(MPa·km); m is the relative wear capacity of the soil (in terms of particle size distribution) at the reference pressure of the abrasive medium (quartz); η 1 is the factor that takes into account the change in the relative wear capacity of the soil depending on pressure; p is the pressure of the soil (abrasive medium) on the most wear-prone section of the tool, MPa; v p is the forward speed of the tool, km/h; t is the operating time of the tool, h; ε ref is the relative wear resistance of the material under reference test conditions; η 2 is the factor that takes into account the change in the relative wear resistance of the material depending on the pressure; and χ is the ratio of the speed of movement of the soil layer on the surface of the tool to the speed of the tool.
The following formula can determine the durability, h, of the tool: where W crit is the limiting wear rate of the most wear-prone section of the tool, cm. Steel 45 with a hardness of 90 HRB (or 180 HB) is taken as reference material. The following are taken as reference wear conditions: pressure p ref = 0.1 MPa; abrasive medium is quartz particles with a size of 0.16÷0.32 microns; relative wear capacity of the abrasive medium m = 1; v p = 1 km/h. The values of the relative wear capacity of soils are given in Table 1. The dependence of the relative wear resistance of steels, of which the tools of soilcutting machines are made, on their chemical composition and hardness is presented in the form of an empirical equation [16]: where ε is the relative wear resistance of steel (the standard is steel 45 with a hardness of 90 HRB, the abrasive medium is quartz with particles of 0.16 ÷ 0.32 microns in size, the pressure of the abrasive medium is p = 0.33 MPa); X 1 is carbon content, %; X 2 is chromium content, %; and X 3 is hardness, HRC. Permanent alloying elements in raw, untreated steels, manganese and silicon, have a positive effect on some characteristics of steels but not on their wear resistance [67][68][69]. The content of elements such as tungsten, molybdenum, and vanadium in steels increases wear resistance above 60 HRC. At lower hardness, their effect on wear resistance is minor [9,[30][31][32].
Therefore, these elements are not included in the equation. The following empirical formulas determine the values of the correction factors η 1 and η 2 : If the value of the relative wear resistance of steel at the reference pressure is unknown, then it is determined by the following formula: where ε is the relative wear resistance of steel at a pressure of p = 0.33 MPa (see Equation (4)).
Considering that the load on the ploughshare tip and the intensity of its wear vary significantly from the exact parameters of the blade, the durability of the ploughshare is calculated according to two criteria, i.e., wear rate of the tip and wear rate of the blade.
The permissible wear rate of the tip is determined by the difference between the original H ( Figure 1) and the limiting, H crit , tip height. The permissible wear rate of the blade is also determined by the difference between the initial, h, and the permissible, h crit , blade width or the proper blade thickness, a.
where ε is the relative wear resistance of steel (the standard is steel 45 with a hardness of 90 HRB, the abrasive medium is quartz with particles of 0.16 ÷ 0.32 microns in size, the pressure of the abrasive medium is p = 0.33 MPa); X1 is carbon content, %; X2 is chromium content, %; and X3 is hardness, HRC.
Permanent alloying elements in raw, untreated steels, manganese and silicon, have a positive effect on some characteristics of steels but not on their wear resistance [67][68][69]. The content of elements such as tungsten, molybdenum, and vanadium in steels increases wear resistance above 60 HRC. At lower hardness, their effect on wear resistance is minor [9,[30][31][32].
Therefore, these elements are not included in the equation. The following empirical formulas determine the values of the correction factors η1 and η2: If the value of the relative wear resistance of steel at the reference pressure is unknown, then it is determined by the following formula: where ε is the relative wear resistance of steel at a pressure of p = 0.33 MPa (see Equation (4)).
Considering that the load on the ploughshare tip and the intensity of its wear vary significantly from the exact parameters of the blade, the durability of the ploughshare is calculated according to two criteria, i.e., wear rate of the tip and wear rate of the blade.
The permissible wear rate of the tip is determined by the difference between the original H ( Figure 1) and the limiting, Hcrit, tip height. The permissible wear rate of the blade is also determined by the difference between the initial, h, and the permissible, hcrit, blade width or the proper blade thickness, a. The durability of the share according to the cultivated area in hectares (ha), according to the wear of the tip: where A is the performance of the plough body, ha/h; Н-Нcrit is the limiting wear rate of the tip in height, cm. The durability of the ploughshare, ha, according to the wear rate of the blade: where h − hcrit is the limiting wear rate of the blade in width, cm. The durability of the share according to the cultivated area in hectares (ha), according to the wear of the tip: where A is the performance of the plough body, ha/h; H-H crit is the limiting wear rate of the tip in height, cm. The durability of the ploughshare, ha, according to the wear rate of the blade: where h − h crit is the limiting wear rate of the blade in width, cm. In most cases, the ploughshares are rejected not as per the wear rate of the blade in width but as per the limiting thickness of the blade. The durability of the ploughshare blade as per the limiting thickness: where a is the limiting thickness of the ploughshare blade for specific ploughing conditions, cm; b is the initial thickness of the new ploughshare blade, cm; α is the angle of sharpening the ploughshare. As can be seen from Equations (8)- (10), the durability of the ploughshare is directly proportional to the relative wear resistance of the material. It is inversely proportional to the wear capacity of the soil, the pressure of the abrasive medium, the speed of the plough, and the angle of sharpening the blade. The larger the sharpening angle, the faster the blade will reach its limiting thickness and will be rejected due to its poor penetration.
The maximum total pressures acting on the tip and the blade of the ploughshare can be determined by the following empirical relationships [19,70]: where p bla is the pressure on the ploughshare blade, MPa; p tip is the pressure on the ploughshare tip, MPa; v p is the speed of movement of the tool, km/h; β is the angle of inclination of the ploughshare to the bottom of the furrow, • ; and H is the soil hardness, MPa. The proper thickness (mm) of the ploughshare blade, at which a constant ploughing depth is provided, can be determined by the following empirical equation: For example, the durability of a serial 65G steel ploughshare without additional hardening will we calculated.
The calculation will be carried out using the following ploughing conditions: The 7 mm limitation of the blade thickness is due to the limitation of the ploughshare wear rate in width; and blade sharpening angle, α = 8 • .
The calculation results are shown in Table 2.
According to the data in Table 2, the service life of serial ploughshares varies from 2.06 to 9.83 ha on sandy soils (depending on their hardness). With a hardness of 5 MPa, the ploughshares will be rejected according to the maximum thickness of the blade. The service life of the tip is greater than that of the blade. To increase the service life of the blade, for example, to 2.95 ha, its sharpening angle should be reduced. Consequently, the potential for blade wear rate is increased without compromising ploughshare performance. With a sandy soil hardness of 3 MPa, the service lives of the tip and the blades are 4.85 and 4.6 ha, respectively. That is, the ploughshare is subject to wear almost evenly.
On loamy soils with a hardness of 5 MPa, the service life of the tip exceeds the service life of the blade. The ploughshare will be rejected because it is out of plough. With a soil hardness of 3 MPa, the service lives of the tip and the blade are equal to 10.1 ha. That is, the ploughshare is subject to wear evenly. With a hardness of 1 MPa on loamy soils, the service life of a serial ploughshare is 20.7 ha. In this case, the tip is primarily exposed to wear. The residual life of the blade when rejecting the ploughshare will be about 40 ha.
On clay soils, the service life of the serial ploughshare, depending on the hardness of the soil, will vary from 12.5 ha with a hardness of 5 MPa to 58.8 ha with a hardness of 1 MPa. In the latter case, when the ploughshare is rejected, its blade will be underutilised by about 100 ha of ploughing, i.e., by hardening the tip part, the ploughshare service life of about 160 ha can be achieved.
As practice shows in most cases, the hardness of sandy and light loamy soils at a depth of 20 ÷ 30 cm is 2.2 ÷ 2.8 MPa. This means that the service life of ploughshares made of 65G steel without hardening for such soils will be 7 ÷ 14 ha. By hardening the tip of these ploughshares only, it is possible to bring their service life up to 26 ÷ 36 ha, respectively. Therefore, by hardening the tip of a 65G steel ploughshare using plasma hardening, it is possible to achieve at least a 2.6-fold increase in its service life compared to a non-hardened serial ploughshare. When ploughing medium and heavy loamy soils, the difference in the service lives of serial and test ploughshares will be much more significant.
Let us consider the possibilities of increasing the durability of the ploughshare by hardening the tip, the blade, or both, proceeding from ensuring their equal wear resistance. In the general case, to ensure equal wear resistance of the blade and the tip of the ploughshare, the required relative wear resistance can be determined based on the equality of the durability: where from: where ε tip re f and ε bla re f are the relative wear resistance of the tip and the blade, respectively; η tip 1 and η bla 1 are correction factors that take into account the change in the wear capacity of soils, respectively, on the tip and the blade; η tip 2 and η bla 2 are correction factors that take into account the change in the relative wear resistance of materials, respectively, of the tip and the blade; and p tip and p bla are soil pressure on the tip and the blade, respectively.

Methods of Confirming the Results of Calculations by Experiment
Experience shows that the hardening of structural steels to such a depth is achievable using surface plasma treatment (hardening) technology. Let us also note that to ensure tribotechnical properties (increase in wear resistance and decrease in the friction coefficient), which provide the required durability of the parts in the friction units, the thickness of the hardened layer of over 1.0-1.8 mm is not required. Since only the friction surface is subject to wear, in this case, as mentioned above, hardening of the entire part will increase the brittleness of the part. In addition, it is not economically feasible, and would involve an unreasonable increase in the thickness of the hardened layer. The depth of the hardened layer turned out to be sufficient; this was confirmed by the first results of field tests. To obtain test samples of hardened parts, a UDGZ-200 (Russtankom, Ekaterinburg, Russian Federation) plasma-hardening unit, which allowed a hardened layer depth of 0.5 to 2.0 mm and a width of 7-15 mm to be obtained, was used. Plasma hardening was performed with the following parameters: nozzle diameter 11 mm, argon flow 15 L/min and arc length 15-20 mm at a current of 150 A. Before the hardening, the sample had to be properly prepared: recommended roughness R z < 16 µm, cleaning from soil, grease, paint and rust is necessary. To remove the paint, the grinding disc NC-22,23-G40-D125 and an angle grinder P.I.T 61808 PRO (speed 9600 rpm) were used; the same equipment were used to remove rust.
Macroscopic cross-section image was made with a Keyence VHX-7000 microscope (Keyence, Osaka, Japan). Metal microstructure studies were carried out on an optical research microscope Axio Observer D1m Carl Zeiss (Carl Zeiss AG, Obrekochen, Germany) designed to study the phase composition and structural features of the treated steel at a magnification from ×100 to ×1000.
To assess the most important indicators of reliability and durability over a long period of operation, various methods of non-destructive testing are usually used [35], including the ultrasonic method. Operational control of the hardness of the hardened surface was carried out using the UZIT-3 device (Introtest, Ekaterinburg, Russian Federation). The device does not require special setting or training and allows for on-line control of metal hardness by ultrasonic method without damaging the surface within HRC from 20 to 70, HB from 80 to 450.
The field tests were conducted with 2 mounted plows PLN-8-35 (Almaz, Barnaul, Russian) used together with 2 tractors Kirovec K744 p2 (Peterburgskiy Traktornyy Zavod, Petersburg, Russian). The operating speed of the machine-tractor unit was 10 km/h. The test was conducted on light loamy soil.

Results
Obviously, the greater the total thickness of the tip (chisel), the worse the penetration ability. The use of plasma hardening of soil-cutting tools will increase the wear resistance, which is especially important. There will be no need to increase the thickness. Moreover, it is crucial to determine the ideal thickness of the hardened layer. Experience shows that the efficiency of the plough body of a three-four-body non-reversible plough with a specific weight within the range of 110 ÷ 150 kg per body is relatively high if the thickness of the tip (chisel) is under 14 mm. A sufficient level of operability of eight-nine-body non-reversible ploughs and almost all reversible ploughs with a specific weight of 220 ÷ 480 kg per body is ensured with a tip (chisel) thickness of 16 ÷ 20 mm.
Let us calculate the rational thickness of the hardened layer, h plaz , depending on the relative wear resistance: where ε tip re f and ε tip re f .plaz are the relative wear resistance of the primary and hardened layers, respectively; and c is the thickness of the tip.
Based on the total thickness of the tip, c = 12 mm, let us perform the calculations for ploughshares made of 65G steel to work on light loamy soils with a hardness of 3 MPa. The values of the relative wear resistance of the steel and the hardened layer are reduced to the wear conditions at a pressure of p ref = 0.1 MPa. The calculation results are given in Table 3. After that, the influence of the quality of surface preparation for hardening was experimentally validated. The difference between these surfaces is shown in Figure 2.
Obviously, the greater the total thickness of the tip (chisel), the worse the penetration ability. The use of plasma hardening of soil-cutting tools will increase the wear resistance, which is especially important. There will be no need to increase the thickness. Moreover, it is crucial to determine the ideal thickness of the hardened layer. Experience shows that the efficiency of the plough body of a three-four-body non-reversible plough with a specific weight within the range of 110 ÷ 150 kg per body is relatively high if the thickness of the tip (chisel) is under 14 mm. A sufficient level of operability of eight-nine-body non-reversible ploughs and almost all reversible ploughs with a specific weight of 220 ÷ 480 kg per body is ensured with a tip (chisel) thickness of 16 ÷ 20 mm.
Let us calculate the rational thickness of the hardened layer, hplaz, depending on the relative wear resistance: where and . are the relative wear resistance of the primary and hardened layers, respectively; and c is the thickness of the tip.
Based on the total thickness of the tip, c = 12 mm, let us perform the calculations for ploughshares made of 65G steel to work on light loamy soils with a hardness of 3 MPa. The values of the relative wear resistance of the steel and the hardened layer are reduced to the wear conditions at a pressure of pref = 0.1 MPa. The calculation results are given in Table 3. Table 3. The rational thickness of the hardened layer and the potential service life of the ploughshare tip on the example of 65G steel (ε = 1.28).

Hardened Material, Its Relative
Wear Resistance After that, the influence of the quality of surface preparation for hardening was experimentally validated. The difference between these surfaces is shown in Figure 2.  At the same time, further repeated testing of the surface hardness with the UZIT-3 ultrasonic hardness tester (Figure 3) showed that there was no significant difference in the hardness of samples 2 and 3. Surface pre-treatment after hardening before ultrasonic hardness testing was not carried out, since there is no surface damage if the hardening mode is chosen correctly. At the same time, the thickness of the plow share in the section was 8-12 mm.
At the same time, further repeated testing of the surface hardness with the UZIT-3 ultrasonic hardness tester (Figure 3) showed that there was no significant difference in the hardness of samples 2 and 3. Surface pre-treatment after hardening before ultrasonic hardness testing was not carried out, since there is no surface damage if the hardening mode is chosen correctly. At the same time, the thickness of the plow share in the section was 8-12 mm. Figure 3. Operational hardness test: (a,b) surface hardened without additional treatments; (c,d) surface preliminarily cleaned from surface marks (rust, scratches, etc.) using a grinding machine before hardening, 1-non-hardened surface; 2-surface hardened without additional treatments; 3-surface preliminarily cleaned from surface marks (rust, scratches, etc.) using a grinding machine before hardening.
Consequently, hardening can be carried out without pretreatment; the only difference is the surface roughness; it changed in the second sample since it had not been pretreated. The difference is not significant, since, during the operation of the unit, the roughness of surfaces 2 and 3 are levelled within the first minutes of operation. Moreover, within the framework of the study, the study of changes in the chemical composition of steel after hardening and metallographic studies of changes in the metal structure was carried out [60][61][62][63][64]71].
The steel structure is shown in Figure 4. As shown in previous studies [60] on the surface, there is a microfusion zone, whose chemical composition corresponds to the steel composition with a carbon content of 0.65%. Upon rapid cooling, it transforms into acicular martensite with a fineness of needles amounting to 5-15 μm. This zone is followed by a zone of austenite transformed into martensite. In the microstructure of these layers, there is a small amount of retained austenite close to 20%, which depends on the depth of the hardened layer. This zone is followed by a layer of troostite, where the microhardness decreases and depends on the volumetric content of the occurring phases, and then sorbitol appears in the structure. The zone of sorbite location is determined by the central zones of the former austenite grains. It is characterised by a lower dispersion level of ferrite and cementite components therein, compared to the dispersion level of troostite, and exhibits a lower microhardness level. The microhardness in this zone also depends on the volumetric amount of the occurring phases. Furthermore, as one goes deeper into the sample, ferrite appears at the junction between the boundaries of former austenite grains, and the amount thereof exhibits a gradual increase. The structure remains ferrite-sorbitic and then smoothly transforms into a ferrite-pearlitic structure. The total microhardness decreases to the initial level. The initial structure represents a mixture of ferrite and pearlite grains with a volume fraction of each amounting to 50% [60]. (c,d) surface preliminarily cleaned from surface marks (rust, scratches, etc.) using a grinding machine before hardening, 1-non-hardened surface; 2-surface hardened without additional treatments; 3-surface preliminarily cleaned from surface marks (rust, scratches, etc.) using a grinding machine before hardening.
Consequently, hardening can be carried out without pretreatment; the only difference is the surface roughness; it changed in the second sample since it had not been pretreated. The difference is not significant, since, during the operation of the unit, the roughness of surfaces 2 and 3 are levelled within the first minutes of operation. Moreover, within the framework of the study, the study of changes in the chemical composition of steel after hardening and metallographic studies of changes in the metal structure was carried out [60][61][62][63][64]71].
The steel structure is shown in Figure 4. As shown in previous studies [60] on the surface, there is a microfusion zone, whose chemical composition corresponds to the steel composition with a carbon content of 0.65%. Upon rapid cooling, it transforms into acicular martensite with a fineness of needles amounting to 5-15 µm. This zone is followed by a zone of austenite transformed into martensite. In the microstructure of these layers, there is a small amount of retained austenite close to 20%, which depends on the depth of the hardened layer. This zone is followed by a layer of troostite, where the microhardness decreases and depends on the volumetric content of the occurring phases, and then sorbitol appears in the structure. The zone of sorbite location is determined by the central zones of the former austenite grains. It is characterised by a lower dispersion level of ferrite and cementite components therein, compared to the dispersion level of troostite, and exhibits a lower microhardness level. The microhardness in this zone also depends on the volumetric amount of the occurring phases. Furthermore, as one goes deeper into the sample, ferrite appears at the junction between the boundaries of former austenite grains, and the amount thereof exhibits a gradual increase. The structure remains ferrite-sorbitic and then smoothly transforms into a ferrite-pearlitic structure. The total microhardness decreases to the initial level. The initial structure represents a mixture of ferrite and pearlite grains with a volume fraction of each amounting to 50% [60].
The results of the study confirmed the operational measurements; the depth of the hardened layer was 1-1.8 mm, at which point the indicators obtained by the UZIT-3 ultrasonic hardness tester were confirmed, i.e., the hardness increased 3-fold. Table 4 shows the hardness measurement results and the calculated averages of the HB indicators.  The results of the study confirmed the operational measurements; the depth of the hardened layer was 1-1.8 mm, at which point the indicators obtained by the UZIT-3 ultrasonic hardness tester were confirmed, i.e., the hardness increased 3-fold. Table 4 shows the hardness measurement results and the calculated averages of the HB indicators. As can be seen from Tables 2 and 3, when ploughing light loamy soils, the service life of the tip of the serial ploughshare after plasma hardening increases in proportion to  As can be seen from Tables 2 and 3, when ploughing light loamy soils, the service life of the tip of the serial ploughshare after plasma hardening increases in proportion to the increase in hardness 3-fold, from 10.0 ha to 31.6 ha. The preliminary results of field tests have shown that wear occurs evenly, that is, the blade and tip wear evenly.
Moreover, field tests have confirmed an increase in the service life of the ploughshares. Plasma hardening was applied to the test ploughshares made of 65G steel, which were installed together with the serial ones. After plowing 20.5 ha, serial shares fell into disrepair (resource was exhausted), the residual resource of hardened shares was about 20 hectares. The appearance of the plasma-taped ploughshare is shown in Figure 5.
tests have shown that wear occurs evenly, that is, the blade and tip wear evenly.
Moreover, field tests have confirmed an increase in the service life of the plough shares. Plasma hardening was applied to the test ploughshares made of 65G steel, whic were installed together with the serial ones. After plowing 20.5 ha, serial shares fell int disrepair (resource was exhausted), the residual resource of hardened shares was abou 20 hectares. The appearance of the plasma-taped ploughshare is shown in Figure 5. In addition, during field tests, it was noticed that sharper plasma-hardened ploughshares have a positive effect on the unit's performance, and this is noticeable no only in the relatively rapidly worn-out serial samples, but also in the ploughshare modified with various claddings, since any cladding leads to thickening. At the sam time, as shown in Figure 5, plasma hardening does not change the geometry of th plough at all and, at the same time, it makes it 2-3 times more durable depending on so conditions.

Discussion
The test results confirmed the validity of the proposed methodology for predictin the durability of the tools of soil-cutting agricultural machines, as well as the efficiency o using the UDGZ-200 plasma-hardening unit for their treatment. At the same time, cur rently, surfacing of various hardening materials (T-590 electrode, OSI-6 electrode FBH-6-2 plasma surfacing, Х12 steel, IH300H9F6 wear-resistant cast iron, TK-G corun dum ceramics, WK-20 hard alloy) is widespread instead of plasma hardening and even transition from a homogeneous stabilised blade to a two-layer equally resistant blade i being observed [30][31][32][33][34]36,37]. In our opinion, this significantly reduces the penetratio ability and leads to a violation of agro-requirements when performing process operation and, consequently, to a loss of crop yields. Moreover, these alloys are next-order highe in cost than plasma hardening. At the same time, plasma hardening is not a difficult op In addition, during field tests, it was noticed that sharper plasma-hardened ploughshares have a positive effect on the unit's performance, and this is noticeable not only in the relatively rapidly worn-out serial samples, but also in the ploughshares modified with various claddings, since any cladding leads to thickening. At the same time, as shown in Figure 5, plasma hardening does not change the geometry of the plough at all and, at the same time, it makes it 2-3 times more durable depending on soil conditions.

Discussion
The test results confirmed the validity of the proposed methodology for predicting the durability of the tools of soil-cutting agricultural machines, as well as the efficiency of using the UDGZ-200 plasma-hardening unit for their treatment. At the same time, currently, surfacing of various hardening materials (T-590 electrode, OSI-6 electrode, FBH-6-2 plasma surfacing, X12 steel, IH300H9F6 wear-resistant cast iron, TK-G corundum ceramics, WK-20 hard alloy) is widespread instead of plasma hardening and even a transition from a homogeneous stabilised blade to a two-layer equally resistant blade is being observed [30][31][32][33][34]36,37]. In our opinion, this significantly reduces the penetration ability and leads to a violation of agro-requirements when performing process operations and, consequently, to a loss of crop yields. Moreover, these alloys are next-order higher in cost than plasma hardening. At the same time, plasma hardening is not a difficult operation in terms of technology and can be carried out directly in an agricultural enterprise.
Therefore, the hardening of heavy-duty soil-cutting parts may significantly increase the profitability of agricultural production. Due to hardening to a depth of 1-1.8 mm, the service life of parts increases 2-3-fold depending on soil conditions; the downtime of expensive machine-tractor units for replacing worn-out parts is reduced. The sharpness of the blades of soil-cutting machines determines not only the fuel consumption rate and the reliability of tractors but also the performance of the MTUs as a whole, and, therefore, the observance of agrotechnical terms, requirements, and yield, and consequently, the profit of the agricultural enterprise and the profitability of crop production.

Data Availability Statement:
The data presented in this study are available upon request from the corresponding author.