The reduced modulus of elasticity of a layered half-space

Peter Ogar,Artem Kozhevnikov,Vyacheslav Fedorov,S Bratan,S Leonov,S Gorbatyuk,S Roshchupkin

doi:10.1051/matecconf/201822402050

Abstract

A layered half-space is represented as the sum of parts of homogeneous half-spaces of coating materials and the base material, the rigidity of which corresponds to the rigidities of the coating and the base. Using a rigid model of a layered elastic body loaded with an axisymmetric distributed load, a new solution is obtained for determining its reduced elasticity modulus and the Poisson’s ratio depending on the elastic characteristics of the base material, the coating material and the relative thickness of the coating. Expressions are given for the reduced elastic modulus and the Poisson’s ratio of a layered body with a two-layer coating.

Highlights

To date, the possibility of increasing the life of joints of machine parts due to a change in the design or improvement of materials by optimizing their microstructure is almost exhausted
A layered half-space is represented as the sum of parts of homogeneous half-spaces of coating materials and the base material, the rigidity of which corresponds to the rigidities of the coating and the base
Using a rigid model of a layered elastic body loaded with an axisymmetric distributed load, a new solution is obtained for determining its reduced elasticity modulus and the Poisson's ratio depending on the elastic characteristics of the base material, the coating material and the relative thickness of the coating

Summary

Introduction

The possibility of increasing the life of joints of machine parts due to a change in the design or improvement of materials by optimizing their microstructure is almost exhausted. In this regard, one of the promising areas of increasing operational performance of joints of machine parts, including sealing joints and friction units, is the coating on their working surfaces, or the formation of modified layers based on metals, ceramics, and polymers [1]. The absence of the theory of contact interaction of rough surfaces through the coating layer does not allow to develop reliable methods for predicting the friction characteristics of triboconjugations and seal tightness at the design stage, which requires expensive and laborintensive experimental tests. One of the directions for solving this problem is to determine the reduced elastic characteristics of solid objects with thin coatings - the elastic modulus and Poisson's ratio

State of the problem

Moving points inside a homogeneous half-space

Elastic characteristics of a layered half-space

Findings

Conclusion