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 ƞ and ƞ e and gap densities at the joint Λ e and Λ ce on dimensionless loading F q and F qe at loading and unloading for different values of ɛ y 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.
Highlights
Many operational properties of joints of machine parts and devices, including tightness, are defined by contact interaction of rough surfaces [1]
In [2, 3] for the description of an elastic-plastic contact, the authors use the kinetic sphere indentation’s load-displacement diagram. As it follows from [1], the sealing ability of a sealing joint is defined by the relative contact area and the density of gaps in a joint
From this point of view, the loading of sealing joints at their assembly by the increased load and maintenance of their tightness by lower load to providing the minimum weight and size characteristics is of practical interest
Summary
Many operational properties of joints of machine parts and devices, including tightness, are defined by contact interaction of rough surfaces [1]. In [2, 3] for the description of an elastic-plastic contact, the authors use the kinetic sphere indentation’s load-displacement diagram As it follows from [1], the sealing ability of a sealing joint is defined by the relative contact area and the density of gaps in a joint. From this point of view, the loading of sealing joints at their assembly by the increased load and maintenance of their tightness by lower load to providing the minimum weight and size characteristics is of practical interest. By using a spherical indenter, the degree of deformation changes at all stage of loading and the primary result of such test is the kinetic indentation’s loaddisplacement diagram [4] (Fig. 1)
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