<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">AMPC</journal-id><journal-title-group><journal-title>Advances in Materials Physics and Chemistry</journal-title></journal-title-group><issn pub-type="epub">2162-531X</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/ampc.2020.1011023</article-id><article-id pub-id-type="publisher-id">AMPC-104508</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Chemistry&amp;Materials Science</subject><subject> Physics&amp;Mathematics</subject></subj-group></article-categories><title-group><article-title>
 
 
  Ideal Failure Curve of Rolling Contact Bearings
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Y.</surname><given-names>Meged</given-names></name><xref ref-type="aff" rid="aff1"><sub>1</sub></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib></contrib-group><aff id="aff1"><label>1</label><addr-line>The Technion, Faculty of Mechanical Engineering, Israel Institute of Technology, Haifa, Israel</addr-line></aff><pub-date pub-type="epub"><day>04</day><month>11</month><year>2020</year></pub-date><volume>10</volume><issue>11</issue><fpage>297</fpage><lpage>303</lpage><history><date date-type="received"><day>24,</day>	<month>October</month>	<year>2020</year></date><date date-type="rev-recd"><day>27,</day>	<month>November</month>	<year>2020</year>	</date><date date-type="accepted"><day>30,</day>	<month>November</month>	<year>2020</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  The prevailing cumulative failure curves of Rolling Contact Bearings (RCB) have two main drawbacks: they begin at the origin and have a large dispersion. The purpose of this study is to develop an ideal failure curve and overcome the present drawbacks. The ideal failure curve of RC bearings is obtained by applying a water-free lubricant to the tested bearings. This eliminates the cavitation erosion from the Bimodal failure mechanism and the synergistic effect with the mechanical failure mode.
   
  This
   new concept considers the fatigue process involved in the failure mechanism and suggests decreasing the dispersion of bearing life.
 
</p></abstract><kwd-group><kwd>Bimodal Failure Mechanism</kwd><kwd> Hertzian Failure Mode</kwd><kwd> Cavitation Erosion</kwd><kwd> Rolling Contact Bearings</kwd><kwd> Synergism</kwd><kwd> SWater Absorption by Lubricants</kwd><kwd>  Water Content of Lubricants</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>In the book “Fundamentals of Mechanical Design” [<xref ref-type="bibr" rid="scirp.104508-ref1">1</xref>] R. H. Phelan presents a cumulative failure curve (<xref ref-type="fig" rid="fig1">Figure 1</xref>) for rolling contact, RC, bearings. This curve was compiled by SKF, the Swedish Ball Bearing Company. It is similar to the failure curves for all types of RC bearings. It further reveals a wide dispersion range of bearing life, reaching a span of 20:1.</p><p>High local and frequent loadings are typical of both Hertzian and cavitation loads that prevail in RC bearings. These types of loads cause fatigue stresses, requiring some time to develop damage. Thus it is impossible to obtain bearing failure right from the beginning of bearing operation, as shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>.</p><p>Both these shortcomings cast heavy doubt on the validity of <xref ref-type="fig" rid="fig1">Figure 1</xref> as a representative of RC bearing failure. These observations call for a new type of failure curve for RC bearings.</p></sec><sec id="s2"><title>2. Discussion</title><sec id="s2_1"><title>2.1. Water Absorption by Lubricating Oils</title><p>Cantley [<xref ref-type="bibr" rid="scirp.104508-ref2">2</xref>] studied the exposure effects of lubricating fluids to the relative humidity of the atmosphere at the levels of 20%, 60% and 100%. He observed that “the addition of additives to the base fluid always increases the capacity for moisture absorption”. In <xref ref-type="fig" rid="fig2">Figure 2</xref> Cantley presents test results of four synthetic lubricants. One of these fluids, number 12, shows low water absorption capability, while the three other fluids show considerable moisture absorbing capability, from approximately 400 ppm to 36,000 ppm.</p><p>Cantley concluded that “The water absorbing capability of a lubricating oil could represent an important factor in bearing life evaluations.” He further states: “The significant effect of low concentrations of water on bearing life. The wide variation in water absorbing properties of lubricants makes it reasonable to conclude that the inherent water content of an oil could significantly affect fatigue life”.</p><p>The results in <xref ref-type="fig" rid="fig2">Figure 2</xref> for synthetic lubricants are typical for mineral oils and Extreme Pressure lubricants, too. However, each type of lubricant covers a different range of water absorption. To illustrate the dispersion of results let us look at the water content of the three types of lubricants at the relative humidity of 20% and the temperature of 30C, see <xref ref-type="fig" rid="fig3">Figure 3</xref>:</p><p>1) Mineral oils: 32 - 207 ppm.</p><p>2) Extreme Pressure fluids: 78 - 220 ppm.</p><p>3) Synthetic fluids: 48 - 890 ppm.</p><p>It should be noted that all these values were beyond 25 ppm, at which full scale RC bearings were tested and found causing detrimental effects on their service life [<xref ref-type="bibr" rid="scirp.104508-ref2">2</xref>].</p></sec><sec id="s2_2"><title>2.2. Dispersion of RC Bearing Life</title><p>The Bimodal failure mechanism of RC bearings is comprised of the mechanical</p><p>and hydraulic modes [<xref ref-type="bibr" rid="scirp.104508-ref3">3</xref>]. The mechanical mode, based on the Hertzian local contact stresses, is well treated both theoretically and practically by the life testing procedures. On the other hand the hydraulic mode is disregarded. As a result nearly no attention is paid to the lubricant, its water content and its absorption capability.</p><p>It is well known that water in the lubricant has a detrimental effect on RC bearing life [<xref ref-type="bibr" rid="scirp.104508-ref2">2</xref>]. This effect is caused by the cavitation of the water under the oscillating contact pressure, formation and collapse of vapor filled cavities. This process results in high local pressures on the bearing surfaces. Both these modes act simultaneously. The mixed effect of both modes, with one of them uncontrolled, is the direct cause of the large dispersion of RC bearing life, under testing and actual service conditions. Under the prevailing conditions the hydraulic failure mode randomizes and shortens the service life of RC bearings. It furthermore has a synergistic effect with the mechanical failure mode, by enhancing the pitting of the contact area.</p></sec></sec><sec id="s3"><title>3. Ideal Failure Curve</title><sec id="s3_1"><title>3.1. Concept</title><p>The drawbacks of the curve in <xref ref-type="fig" rid="fig1">Figure 1</xref> are the data at the origin and the large dispersion of bearing life. The following section presents an idealized curve, overcoming these drawbacks. The concept behind the new curve is to minimize the effects of the hydraulic failure mode. In order to achieve this goal the lubricant must be water-free thus avoiding cavitation, the erosion and the synergistic effect, too.</p></sec><sec id="s3_2"><title>3.2. The Ideal Curve (<xref ref-type="fig" rid="fig4">Figure 4</xref>)</title><p>1) Grid: The grid for this curve is identical to that of <xref ref-type="fig" rid="fig1">Figure 1</xref>, namely:</p><p>- The horizontal axis is the relative bearing life RL.</p><p>- The vertical axis is the percentage bearing failure F%.</p><p>2) Curve structure: The schematic illustrative curve is bi-lineal, consisting of two straight lines:</p><p>- Line OA: This line, conforming with the X axis, is the no-failure zone. The fatigue process is developing, but no failure has yet occurred.</p><p>- Line AB: This line represents the actual bearing failures developing by the mechanical oscillating loadings.</p><p>3) Dispersion: The bearing life dispersion is measured between the X-values of points A and B. In <xref ref-type="fig" rid="fig4">Figure 4</xref> the dispersion is cut by half compared to that shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>, reaching the value of 1:10. As this curve is illustrative it overcomes the drawbacks of the curve in <xref ref-type="fig" rid="fig1">Figure 1</xref> and shows the potential of applying water-free lubricants.</p></sec></sec><sec id="s4"><title>4. Conclusions and Recommendations</title><p>According to the bimodal failure mechanism concept of RC bearings, the failure modes are mechanical and hydraulic. The lubricant absorbs water from the atmosphere and cavitates under the fluctuating high local loads, thereby causing formation of vapor filled cavities. Upon reaching a high pressure zone, the cavities collapse. This process is exothermal, accompanied by a temperature rise of</p><p>2000C and a pressure peak of 30,000 at. These conditions cause high local loadings and pitting on the bearing’s surface. This damage process overlaps that of the mechanical loading, thereby causing a synergistic effect. This analysis explains why water in the lubricant, with a content as low as 25 ppm, has a detrimental effect on RC bearings by shortening their service life considerably [<xref ref-type="bibr" rid="scirp.104508-ref2">2</xref>].</p><sec id="s4_1"><title>4.1. Lubricants</title><p>The main conclusion of this study is the importance of lubricating RC bearings with water-free lubricants. This recommendation can be achieved by dehydration of the lubricant. The best way is by using the Compact Membrane System [<xref ref-type="bibr" rid="scirp.104508-ref4">4</xref>]. In case this method is not applicable, it is recommended to lubricate the bearings with the best available liquid such as shown in Appendix A:</p><p>1) SAE 5 mineral oil (NO. 1).</p><p>2) SAE 20 mineral oil with rust and oxidation inhibitor (NO. 3).</p><p>3) Synthetic oil-Hydro carbon fluid (NO. 12).</p><p>It is recommended to develop new lubricants, with minimum additives, and minimal water absorption.</p><p>It is recommended to formulate new standards and specifications for the new lubricants and their testing procedures.</p></sec><sec id="s4_2"><title>4.2. Ideal Failure Curve</title><p>This study led to the formation of a new cumulative failure curve, <xref ref-type="fig" rid="fig4">Figure 4</xref>, based on the minimization of lubricant cavitation. As a result both drawbacks of the prevailing curve (<xref ref-type="fig" rid="fig1">Figure 1</xref>) are eliminated and the RC bearing service life is improved.</p></sec></sec><sec id="s5"><title>Acknowledgements</title><p>Many thanks to Dr. Janusz Steller from the Institute of Fluid-Flow Machinery, at the Polish Academy of Science. He is the coordinator of the International Cavitation Erosion Test, ICET. Thanks for furnishing me with the abundant report of the project. The report is the result of tests performed by 15 laboratories from 11 countries worldwide.</p></sec><sec id="s6"><title>Conflicts of Interest</title><p>The author declares no conflicts of interest regarding the publication of this paper.</p></sec><sec id="s7"><title>Cite this paper</title><p>Meged, Y. (2020) Ideal Failure Curve of Rolling Contact Bearings. Advances in Materials Physics and Chemistry, 10, 297-303. https://doi.org/10.4236/ampc.2020.1011023</p></sec><sec id="s8"><title>Nomenclature</title><p>CE = cavitation erosion</p><p>CMS = compact membrane system</p><p>EP = extreme pressure</p><p>F = bearing failure percentage %</p><p>RCB = rolling contact bearings</p><p>RL = relative life</p><p>TL = time lag, no-failure zone</p></sec><sec id="s9"><title>Appendix A: Lubricants Tested for Water Absorption (2)</title><p><img src="//html.scirp.org/file/5-1510793x6.png" /></p></sec></body><back><ref-list><title>References</title><ref id="scirp.104508-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Phelan, R.M. (1962) Fundamentals of Mechanical Design. McGraw Hill, Library of Congress Card Number 62-14221, 436.</mixed-citation></ref><ref id="scirp.104508-ref2"><label>2</label><mixed-citation publication-type="other" xlink:type="simple">Cantley, R.E. (1976) The Effect of Water in Lubricating Oils on Bearing Fatigue Life. ASLE Transactions, 20, 244-248. 
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