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International Journal of Mechanics and Materials in Design

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01-12-2021

Optimal design of the functional grading in elastic wear-resisting bearings: a simple analytical model

Authors: Ivan I. Argatov, Young S. Chai

Published in: International Journal of Mechanics and Materials in Design | Issue 2/2022

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Abstract

A one-dimensional wear contact problem for a functionally-graded elastic coating attached to a rigid base is considered under the condition of a constant pre-strain with the effect of the coating thickness evolution taken into account. It is assumed that the wear coefficient is inversely proportional to the material stiffness at the bearing surface. The presented analysis is primarily given in the dimensionless form in order to illustrate qualitative features of the model behavior. It is shown that the wearing-out period essentially depends on the wear coefficient variation with depth. It is found that the optimal design of FGM bearings is constrained by the maximum of the grading gradient of material properties.

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Aizikovich, S.M., Mitrin, B.I., Seleznev, N.M., Wang, Y.-C., Volkov, S.S.: Influence of a soft FGM interlayer on contact stresses under a beam on an elastic foundation. Struct. Eng. Mech. 58(4), 613–625 (2016)CrossRef

Aleksandrov, V.M., Kovalenko, E.V.: Plane contact problems of the theory of elasticity for nonclassical regions in the presence of wear. J. Appl. Mech. Tech. Phys. 21(3), 421–427 (1980)CrossRef

Andresen, H., Hills, D.A., Vazquez, J.: Closed-form solutions for tilted three-part piecewise-quadratic half-plane contacts. Int. J. Mech. Sci. 150, 127–134 (2019)CrossRef

Archard, J.F.: Contact and rubbing of flat surfaces. J. Appl. Phys. 24(8), 981–988 (1953)CrossRef

Argatov, I.I., Chai, Y.S.: Effective wear coefficient and wearing-in period for a functionally graded wear-resisting punch. Acta Mechanica 230(6), 2295–2307 (2019)MathSciNetMATHCrossRef

Argatov, I., Chai, Y.S.: Contact geometry adaptation in fretting wear: a constructive review. Front. Mech. Eng. 6, 51 (2020a)CrossRef

Argatov, I.I., Chai, Y.S.: A note on optimal design of contact geometry in fretting wear. Int. J. Mech. Mater. Des. 16, 415–422 (2020b)CrossRef

Argatov, I.I., Chai, Y.S.: Wear contact problem with friction: Steady-state regime and wearing-in period. Int. J. Solids Struct. 193, 213–221 (2020c)CrossRef

Argatov, I.I., Chai, Y.S.: Fretting wear with variable coefficient of friction in gross sliding conditions. Tribol. Int. 153, 106555 (2021)CrossRef

Argatov, I.I., Fadin, Y.A.: A macro-scale approximation for the running-in period. Tribol. Lett. 42(3), 311–317 (2011)CrossRef

Argatov, I., Mishuris, G.: Contact Mechanics of Articular Cartilage Layers. Springer, Cham (2016)MATH

Argatov, I., Tato, W.: Asymptotic modeling of reciprocating sliding wear-comparison with finite-element simulations. Eur. J. Mech. A Solids 34, 1–11 (2012)MathSciNetMATHCrossRef

Bae, J.W., Lee, C.Y., Chai, Y.S.: Three dimensional fretting wear analysis by finite element substructure method. Int. J. Precis. Eng. Manuf. 10(4), 63–69 (2009)CrossRef

Banichuk, N.V., Ragnedda, F., Serra, M.: Some optimization problems for bodies in quasi-steady state wear. Mech. Based Des. Struct. Mach. 38(4), 430–439 (2010)CrossRef

Blau, P.J.: A multi-stage wear model for grid-to-rod fretting of nuclear fuel rods. Wear 313(1–2), 89–96 (2014)CrossRef

Blau, P.J.: A microstructure-based wear model for grid-to-rod fretting of clad nuclear fuel rods. Wear 426, 750–759 (2019)CrossRef

Chai, Y.S., Lee, C.Y., Bae, J.W., Lee, S.Y., Hwang, J.K.: Finite element analysis of fretting wear problems in consideration of frictional contact. Key Eng. Mater. 297–300, 1406–1411 (2005)CrossRef

Erbaş, B., Aydın, Y.E., Borodich, F.M.: Indentation of thin elastic films glued to rigid substrate: Asymptotic solutions and effects of adhesion. Thin Solid Films 683, 135–143 (2019)CrossRef

Feppon, F., Sidebottom, M.A., Michailidis, G., Krick, B.A., Vermaak, N.: Efficient steady-state computation for wear of multimaterial composites. J. Tribol. 138(3),(2016)

Fouvry, S., Liskiewicz, T., Kapsa, P., Hannel, S., Sauger, E.: An energy description of wear mechanisms and its applications to oscillating sliding contacts. Wear 255(1–6), 287–298 (2003)CrossRef

Galin, L.A.: Contact problems of the theory of elasticity in the presence of wear. J. Appl. Math. Mech. 40(6), 931–936 (1976)MathSciNetMATHCrossRef

Guler, M.A., Erdogan, F.: Contact mechanics of graded coatings. Int. J. Solids Struct. 41(14), 3865–3889 (2004)MATHCrossRef

Guler, M.A., Erdogan, F.: Contact mechanics of two deformable elastic solids with graded coatings. Mech. Mater. 38(7), 633–647 (2006)CrossRef

Guo, X., Lai, P., Li, L., Tang, L., Zhang, L.: Progress in studying the fretting wear/corrosion of nuclear steam generator tubes. Ann. Nucl. Energy 144, 107556 (2020)CrossRef

Jo, J.C., Jhung, M.J., Kim, W.S., Kim, H.J.: Life estimation of PWR steam generator U-tubes subjected to foreign object-induced fretting wear. Nucl. Technol. 152(1), 118–128 (2005)CrossRef

Jobin, K.J., Abhilash, M.N., Murthy, H.: A simplified analysis of 2D sliding frictional contact between rigid indenters and FGM coated substrates. Tribol. Int. 108, 174–185 (2017)CrossRef

Kaplunov, J., Prikazchikov, D., Sultanova, L.: Elastic contact of a stiff thin layer and a half-space. Zeitschrift für angewandte Mathematik und Physik 70(1), 1–17 (2019)MathSciNetMATHCrossRef

Kauzlarich, J.J., Williams, J.A.: Archard wear and component geometry. Proc. Inst. Mech. Eng. Part J J. Eng. Tribol. 215(4), 387–403 (2001)CrossRef

Ke, L.L., Wang, Y.S.: Fretting contact with finite friction of a functionally graded coating with arbitrarily varying elastic modulus. Part 1: normal loading. J. Strain Anal. Eng. Des. 42(5), 293–304 (2007)CrossRef

Kim, H.-K., Lee, Y.-H.: Influence of contact shape and supporting condition on tube fretting wear. Wear 255(7–12), 1183–1197 (2003)CrossRef

Kim, H.-K., Lee, Y.-H., Lee, K.-H.: On the geometry of the fuel rod supports concerning a fretting wear failure. Nucl. Eng. Des. 238(12), 3321–3330 (2008)CrossRef

Kim, J.H., Park, J.M., Park, J.K., Jeon, K.L.: Sliding wear and friction behavior of zirconium alloy with heat-treated Inconel718. Nucl. Eng. Des. 269, 66–71 (2014)CrossRef

Kovalenko, E.V.: Calculation of wear for a plain bearing with a thin porous elastic shell. J. Appl. Mech. Tech. Phys. 32(5), 814–819 (1991)CrossRef

Kragelsky, I.V., Dobychin, M.N., Kombalov, V.S.: Friction and Wear: Calculation Methods. Pergamon Press, Oxford (1982)

Lee, C.Y., Tian, L.S., Bae, J.W., Chai, Y.S.: Application of influence function method on the fretting wear of tube-to-plate contact. Tribol. Int. 42(6), 951–957 (2009)CrossRef

Lee, Y.-H., Kim, I.-H., Kim, H.-K., Kim, H.-G.: Role of ZrO2 oxide layer on the fretting wear resistance of a nuclear fuel rod. Tribol. Int. 145, 106146 (2020)CrossRef

Lorenzo-Martin, C., Ajayi, O., Hartman, K., Bhattacharya, S., Yacout, A.: Effect of Al2O3 coating on fretting wear performance of Zr alloy. Wear 426, 219–227 (2019)CrossRef

Ma, L., Eom, K., Geringer, J., Jun, T.-S., Kim, K.: Literature review on fretting wear and contact mechanics of tribological coatings. Coatings 9(8), 501 (2019)CrossRef

Mei, J.N., Xue, F., Huang, L., Wang, Z.X., Zhang, G.D., Shu, G.G., Li, J.S., Fu, H.Z.: Finite element analysis of fretting wear for nuclear Inconel 690 Alloy. Adv. Mater. Res. 772, 77–82 (2013)CrossRef

Páczelt, I., Baksa, A., Mróz, Z.: Contact optimization problems for stationary and sliding conditions. In: Mathematical Modeling and Optimization of Complex Structures, pp. 281–312. Springer (2016)

Pasternak, E., Dyskin, A. & Karachevtseva, I. ( 2020) , Oscillations in sliding with dry friction. friction reduction by imposing synchronised normal load oscillations. Int. J. Eng. Sci. 154, 103313

Preston, F.W.: The theory and design of plate glass polishing machines. J. Glass Technol. 11(44), 214–256 (1927)

Sedova, O., Pronina, Y.: The thermoelasticity problem for pressure vessels with protective coatings, operating under conditions of mechanochemical corrosion. Int. J. Eng. Sci. 170, 103589 (2022)MathSciNetMATHCrossRef

Shi, Y., Li, Y., Liu, J., Yuan, Z.: Investigation on the parameter optimization and performance of laser cladding a gradient composite coating by a mixed powder of Co50 and Ni/WC on 20CrMnTi low carbon alloy steel. Opt. Laser Technol. 99, 256–270 (2018)CrossRef

Suh, N.P., Sridharan, P.: Relationship between the coefficient of friction and the wear rate of metals. Wear 34(3), 291–299 (1975)CrossRef

Willert, E., Dmitriev, A.I., Psakhie, S.G., Popov, V.L.: Effect of elastic grading on fretting wear. Sci. Rep. 9(1), 1–8 (2019)CrossRef

Zhang, L., Lai, P., Liu, Q., Zeng, Q., Lu, J., Guo, X.: Fretting wear behavior of zirconium alloy in B-Li water at \(300^\circ \)C. J. Nucl. Mater. 499, 401–409 (2018)CrossRef

Title: Optimal design of the functional grading in elastic wear-resisting bearings: a simple analytical model
Authors: Ivan I. Argatov
Young S. Chai
Publication date: 01-12-2021
Publisher: Springer Netherlands
Published in: International Journal of Mechanics and Materials in Design / Issue 2/2022
Print ISSN: 1569-1713
Electronic ISSN: 1573-8841
DOI: https://doi.org/10.1007/s10999-021-09581-7

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