Indentation and flattening of rough surfaces spherical asperities

 
 
 
  • Abstract
  • Keywords
  • References
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  • Abstract


    The paper indicates that the application of roughness models and the theories of contacting rough surfaces developed by Greenwood-Williamson and N.B. Demkin for solving the problems of hermetology leads to significant errors. This is explained by much greater contact pressures than for the tribology problems, by describing only the initial part of the reference surface curve, the lack of allowance for the plastic extrusion of the material. A brief review of methods for describing the introduction of a sphere into an elastoplastic reinforced half-space is given. The properties of the elastoplastic reinforced material are described by the power law of Hollomon. To describe the indentation and flattening of single spherical asperity, the results of finite element modeling are used. The cases of contacting a rigid rough surface with an elastoplastic half-space and a rigid smooth surface with a rough surface are considered. To determine the relative contact area, the discrete roughness model is used in the form of a set of spherical segments distributed along the height in accordance with the curve of the reference surface.

     


  • Keywords


    Rough Surface, Relative Contact Area, Spherical Asperity, Elastoplastic Contact,, Indentation Of The Sphere, Flattening Of The Sphere.

  • References


      [1] Greenwood JA & Williamson JBR (1966), Contact of nominally flat sufaces. Proc Roy Soc, A295, 301-313.

      [2] Demkin NB (1970), Contacting rough surfaces. Nauka, Moscow.

      [3] Ogar PM, Gorokhov DB, & Kozhevnikov AS (2017), Contact tasks in hermetic sealing studies of fixed joints. BrSU, Bratsk. 242 p.

      [4] Ogar PM, Gorokhov DB & Elsukov VK (2017), Criteria for the appearance of plastic deformations at contacting rough surfaces of joints in technological equipment. Systems Methods Technologies 3(35) , 32-39. doi: 10.18324/2077-5415-2017-3-32-39.

      [5] Kazankin VA (2016), Development of a technique for calculating the strength of fixed joints, taking into account the contact stiffness of matched parts of close hardness. Dissertation, VolSTU, Volgograd. 145 p.

      [6] Lankov AA (2009), The probability of elastic and plastic deformations during compression of metallic rough surfaces. Trenie-i-smazka-v-mashinah-i-mekhanizmah 3, 3-5.

      [7] Voronin NA (2003), Theoretical model of elastic-plastic introduction of rigid sphere. Friction and Wear 24, 16-26.

      [8] Ogar PM &Tarasov VA (2013) Kinetic indentation application to determine contact characteristics of sphere and elastoplastic half-space. Advanced Materials Research 664, 625-631. doi: 10.4028/www.scientific.net/AMR.664.625.

      [9] Ogar PM, Tarasov VA & Turchenko AV (2013), Tribomechanics of elastoplastic contact. Modern technologies. System analysis. Modeling 2(18), 116-122.

      [10] Drozd MS, Matlin MM & Sidyakin YI (1986), Engineering methods for calculating elastoplastic contact deformation. Mechanical Engineering, Moscow.

      [11] Lee H, Lee J & Pharr GM (2005), A numerical approach to spherical indentation techniques for material property evaluation. J Mech Phys Solids 53, 2037-2069.

      [12] Collin JM, Mauvoisin G & Pilvin P (2010), Materials characterization by instrumented indentation using two different approaches. Materials and Desing 31, 636-640.

      [13] Johnson K.L (1985), Contact mechanics. University Press, Cambridge.

      [14] Hernot X, Bartier O, Bekouche Y, El Abdi R & Mauvoisin G (2006), Influence of penetration depth and mechanical properties on contact radius determination for spherical indentation. Int J of Solids and Struct 43, 4136-4153.

      [15] Myshkin NK & Petrokovec MI (2007) Friction, lubrication, wear. Physical bases and technical applications of tribology. Fizmatlit, Moscow.

      [16] Bolotov AN, Meshkov VV, Sutyagin OV & Vasiliev MV (2013), Study of elastoplastic contact of a spherical indenter with metals and solid lubricating coatings: Part 1. Critical loads. Friction and Wear 34, 1-5.

      [17] Bolotov AN, Meshkov VV, Sutyagin OV & Vasiliev MV (2013) Study of elastoplastic contact of a spherical indenter with metals and solid lubricating coatings: Part 2. Contact characteristics. Friction and Wear 34, 129-133.

      [18] Ogar P & Gorokhov D (2017), Meyer law application to account of material hardening under rigid spherical indentation. In: Proc. of 22nd int. conf. «MECHANIKA 2017». KUT, Kaunas, 287-290.

      [19] Ogar P, Gorokhov D & Belokobylsky S (2017), The elastic-plastic contact of a single asperity of a rough surface. MATEC Web of Conferences 129, 06017. doi: 10.1051/matecconf/201712906017.

      [20] Bulychev SI (2010), The transition from the indentation diagrams to the tensile diagrams with allowance for the hardened surface layer. Deformation and fracture of materials 2, 43-48.

      [21] Bulychev SI (2011), Hardness and hysteresis at the yield strength. Deformation and fracture of materials 1, 41-45.

      [22] Matlin M, Kazankina E, Kazankin V (2009), Mechanics of unitial contact. Mechanika 2, 20-23.

      [23] Etision I, Kligerman Y & Kadin Y (2005), Unloading of an elastic–plastic loaded spherical contact. Int J Solids Struct, 42, 3716–29.

      [24] Kogut L & Etision I (2002), Elastic–plastic contact analysis of a sphere and a rigid flat. ASME J Appl Mech , 69, 657–62.

      [25] Zhao JH, Nagao S & Zhang ZI (2012), Loading and anloading of a shtrical contact: From elastic to elastic-perfectly plastic materials. Int. J. of Mech. Ssience,s 56, 70-76.

      [26] Ogar PM & Gorokhov DB (2017), Influence of Materials Hardenability Parameters on the Machine Parts Characteristics after Unloading. Key Engineering Materials 723, 369-375.

      doi: 10.4028/www.scientific.net/KEM.723.369.

      [27] Ogar P, Gorokhov D, Ugryumova E (2017), Mechanics of unloading of a rough surfaces pre-loaded joint. MATEC Web of Conf, 129, 06016. doi: 10.1051/matecconf/201712906016.


 

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Article ID: 11913
 
DOI: 10.14419/ijet.v7i2.23.11913




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