Elastic contact of a rigid rough surface with a low-modulus half-space

Ogar, P.M.; Gorokhov, Denis; Elsukov, V.

doi:10.18324/2077-5415-2017-2-7-12

Cited by 5 publications

(13 citation statements)

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“…We use the discrete roughness model given in [4,6]. Microasperities are represented by a set spherical segments of radius r, base c a and height max R …”

Section: Model Of the Rough Surfacementioning

confidence: 99%

“…The contacting scheme is shown in Figure 2 [6]. In the initial position, an asperity peak is located at a distance uRmax from the peaks line of the rough surface and the low-modulus half-space in the system of cylindrical coordinates z, ,  with origin at the point O belonging to the undeformed surface of the half-space.…”

Section: Contact Of a Single Asperity And The Elastic Half-spacementioning

confidence: 99%

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Characteristics of Contact of a Rough Surface With A Low-Modulus Half-Space

Ogar

Belokobylsky

Gorokhov

et al. 2017

Proccedings of International Scientific Conference "BALTTRIB 2017"

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Initially, the contact of a single spherical asperity is considered with taking into account the influence of the remaining contacting asperities. It is assumed that the influence of the remaining contacting asperities is equal to the action of the uniform loading qc outside the asperity contour. This made possible to solve the contact problem as an axisymmetric one. An equation for the pressure distribution at the contact area is obtained. To determine the contact characteristics, a discrete roughness model is used, the surface bearing curve of which is described by a regularized beta function. The relative contact area and the gap density in the joint are determined depending on the dimensionless force elastic-geometric parameter fq. When determining the gap density in the joint, the displacements of the rough surface and half-space are taken into account. It is shown that the contact characteristics do not depend on the values of the regularized beta function parameters p and q.

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“…We use the discrete roughness model given in [4,6]. Microasperities are represented by a set spherical segments of radius r, base c a and height max R …”

Section: Model Of the Rough Surfacementioning

confidence: 99%

Section: Contact Of a Single Asperity And The Elastic Half-spacementioning

confidence: 99%

Characteristics of Contact of a Rough Surface With A Low-Modulus Half-Space

Ogar

Belokobylsky

Gorokhov

et al. 2017

Proccedings of International Scientific Conference "BALTTRIB 2017"

Self Cite

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“…We use a discrete model of roughness in the form of a set of identical spherical segments of radius R, base a c and height ωR max [2]. The contact of a rigid single spherical asperity located at a distance uR max from the line of peaks of a rough surface with an elastoplastic half-space is considered in a system of cylindrical coordinates r, , z, with the origin at a point O belonging to the undeformed surface of a half-space.…”

Section: Stressed-deformed State In the Contact Area Of A Single Aspementioning

confidence: 99%

“…For such joins, metallic materials are used and in most cases the contact is elastoplastic [1]. It should be noted that the results obtained in [2] are also valid for the elastic contact of metallic rough surfaces. The question arises of the limits of applicability of the expressions obtained for elastic contact, which is the goal of the present investigations.…”

Section: Introductionmentioning

confidence: 99%

“…The stresses on the axis z can be calculated by considering the elementary rings with radii 1 r and 2 r , and the areas for the given quantity  characterizing the loading of a rigid rough surface when it is indented into the elastic half-space, we determine the quantity It should be noted that according to the theory of contacting a rough surface with a half-space, taking into account the mutual influence of the asperities [2], the parameter  determines the relative displacement of the asperity contacting at a point. Without taking into account the mutual influence of the asperities, the initial half-space level for each asperity does not change.…”

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Criteria of Plasticity in Contact of the Spherical Asperities of the Rough Surface

Ogar

Belokobylsky

Gorokhov

et al. 2017

Proccedings of International Scientific Conference "BALTTRIB 2017"

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It is assumed that the influence of the remaining contacting asperities is equal to the action of the uniform loading q c outside the asperity contour. Three parameters are suggested as possible criteria of occurrence of plastic deformation in the subsurface layer of contact of a single asperity: critical value ε c in which the equivalent stress is equal to the yield point σ y ; the relative contact area η ip at which plastic deformations occur; the ratio of the maximum pressure at the contact area to the yield point σ y . For single asperities, the stability of the relative contact area at which plastic deformation begins is indicated. The criteria for plasticity characterizing respectively the onset of plastic deformation in the near-surface layer η p * and on the contact surface η ̅ p * areproposed. The values of the criteria do not depend on the loading conditions and are determined by the complex parameter f y characterizing the microgeometry of the asperities and the mechanical properties of the material.

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Mechanics of unloading of a rough surfaces pre-loaded joint

2017

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Abstract. In this paper we study the problem of the contact characteristics changing on a decrease of the load applied to the preloaded joint of roughness surfaces. The penetration of a rigid sphere (indenter) into the elastic hardenable half-space is considered originally. The elastic crater restoring by unloading is also considered. In elastic-plastic material's describing, Hollomon's pawer law is used. To describe a contact of a rigid rough surface with an elastic plastic half-space, the discrete model of a rough surface is used. Microasperities are represented as a set of identical spherical segments, the height distribution of which corresponds to the bearing profile curve of the surface. To describe the bearing profile curve, incomplete beta function ratio is used. The relations of relative contact areas η and e η and gap densities at the joint e Λ and ce Λ on dimensionless loading q F and qe F at loading and unloading for different values of y ε and n are given. The obtained results are of practical importance for the sealing ability prediction of fixed sealing joints at the design stage, in particular for tightness supply of flange couplings and high pressure vessels seals.

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Elastic contact of a rigid rough surface with a low-modulus half-space

Cited by 5 publications

References 0 publications

Characteristics of Contact of a Rough Surface With A Low-Modulus Half-Space

Characteristics of Contact of a Rough Surface With A Low-Modulus Half-Space

Criteria of Plasticity in Contact of the Spherical Asperities of the Rough Surface

Mechanics of unloading of a rough surfaces pre-loaded joint

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