Development of Discrete Contact Mechanics with Applications to Study the Frictional Interaction of Deformable Bodies

Goryacheva, I. G.; Tsukanov, I. Yu.

doi:10.3103/s0025654420080099

Cited by 13 publications

(3 citation statements)

References 76 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…At the high contact densities, the pressure distribution at the local contact spot can differ significantly from the pressure distribution under an isolated indenter. This conclusion, in particular, follows from the solutions of periodic contact problems in the plane and spatial formulations [31]. To take into account the contact pressure redistribution, we can use the principle of localization, which is formulated and proved in Ref.…”

Section: Consideration Of the Contact Pressures Redistribution In The...mentioning

confidence: 89%

Analysis of the discrete contact characteristics based on the Greenwood-Williamson model and the localization principle

Yakovenko,

Goryacheva

2024

Friction

View full text Add to dashboard Cite

The contact of a rigid body with nominally flat rough surface and an elastic half-space is considered. To solve the contact problem, the Greenwood–Williamson statistical model and the localization principle are used. The developed contact model allows us to investigate the surface approach and the real contact area with taking into account the asperities interaction. It is shown that the mutual influence of asperities changes not only contact characteristics at the macroscale, but also the contact pressure distribution at the microscale. As follows from the results, the inclusion in the contact model of the effect of the mutual influence of asperities is especially significant for studying the real contact area, as well as the contact characteristics at high applied loads. The results calculated according to the proposed approach are in a good agreement with the experimentally observed effects, i.e., the real contact area saturation and the additional compliance exhaustion.

show abstract

Section: Consideration Of the Contact Pressures Redistribution In The...mentioning

confidence: 89%

Analysis of the discrete contact characteristics based on the Greenwood-Williamson model and the localization principle

Yakovenko,

Goryacheva

2024

Friction

View full text Add to dashboard Cite

show abstract

“…On the other hand, in history, new theories have been repeatedly developed using analogies borrowed from classical mechanics, as it was TA B L E 3 Hierarchy of worlds with electrodynamics, quantum mechanics, general relativity and some other general physical theories [2,[66][67][68][69][70][71]. Indeed, general methods worked out in classical mechanics demonstrate their effectiveness in describing various phenomena at the border of mechanics and other brunches of natural science [72][73][74][75][76][77][78][79][80][81][82]. Therefore, below we introduce an energy dynamics based concept, which can be used to explain from a unified dynamical point of view the phenomena that are well known in modern physics, but their explanation requires different physical theories yet.…”

Section: The Basic Principlementioning

confidence: 99%

Dynamics of matter and energy

Кривцов

2022

Z Angew Math Mech

View full text Add to dashboard Cite

We propose and examine a potential analogy between mass transfer (in space) and energy transfer (in solids). We adapt classical equations of matter dynamics to describe the dynamics of energy transfer. Such fundamental quantities as the effective mass, momentum, moment of inertia and other quantities typical for bodies of matter are introduced for “bodies” of energy. Along with this, two new concepts of “carrier” and “phantom” are proposed. A carrier is a medium which enables energy transfer. A phantom is a virtual body of matter having its mass distribution equivalent to the energy distribution in the carrier. Using an inhomogeneous chain of particles as a sample system, we show that the phantom motion satisfies the Newton's second law of dynamics. For certain systems, we derive constitutive equations for the net force, which results in a closed system of dynamics equations. We further show that with the relevant properties of the chain it is possible to obtain the dynamics equation for the phantom motion in a gravitational field. We use similar methods to study energy dispersion. To analyze phantom evolution, we introduce the velocities of phantom transfer and dispersion. We show that, depending on the ratio of these velocities, the phantom can behave either as a wave or as a particle. Furthermore, we discuss potential application of energy dynamics to other branches of physics, such as quantum mechanics, electrodynamics and general relativity. We introduce the idea that a body of matter itself can be a phantom in some other carrier, which is a different entity than matter. Possible associations of the phantom/carrier model with current models of physical space are discussed. Based on the presented concept, we propose plausible qualitative answers to several open questions in modern physics.

show abstract

“…Due to the high relevance of this problem, along with studying of the general questions of contact interaction [6][7], contact problems of multilayered surroundings mechanics and bodies with coverings and layers [8][9] have been development. For example, in the work [9] solutions of axisymmetric contact problems taking into account and without friction for the two-layer stamps lying on absolutely rigid basis are received.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Elastoplastic Behavior Model of Antifriction Polymers

Kamenskikh

Bartolomey

2018

SSP

View full text Add to dashboard Cite

The analysis of properties of the antifriction materials suitable for use as materials of a surface of sliding of contact nodes was made and the elastoplastic model for the description of their behavior has been chosen in the work. The general mathematical statement of the problem of friction contact interaction of two elastic bodies through an elastoplastic antifriction layer taking into account all types of a contact state has been made. Check of mathematical statement within numerical realization of an experiment on uniaxial compression of a sample by press plates taking into account friction on the interfaced surfaces has been executed. Assessment of convergence of the numerical solution of the task of contact parameters depending on a number of nodal unknowns has been made, optimum finite element decomposition of the model has been chosen. It has been established that the numerical solution gives a good quantitative capability to results of a natural experiment. It has been established that all paths of deformation have small curvature in all considered points of the polymeric cylindrical sample.

show abstract

Development of Discrete Contact Mechanics with Applications to Study the Frictional Interaction of Deformable Bodies

Cited by 13 publications

References 76 publications

Analysis of the discrete contact characteristics based on the Greenwood-Williamson model and the localization principle

Analysis of the discrete contact characteristics based on the Greenwood-Williamson model and the localization principle

Dynamics of matter and energy

Analysis of Elastoplastic Behavior Model of Antifriction Polymers

Contact Info

Product

Resources

About