Contact of a Punch with a Functionally Graded Coating Taking Into Account Adhesive Friction

IF 1 4区工程技术 Q4 MECHANICS

Mechanics of Solids Pub Date : 2026-10-05 DOI:10.1134/S0025654425606111

S. S. Volkov, A. S. Vasiliev, A. L. Nikolaev, E. V. Sadyrin

引用次数: 0

Abstract

A plane contact problem involving the indentation and sliding of a punch on the surface of an elastic half-plane with a functionally graded coating is considered. Adhesive friction acts at the contact. Young’s modulus and Poisson’s ratio of the coating vary with depth according to arbitrary, independent laws. The normal force is applied with some eccentricity to maintain parallelism of the punch motion. The problem is reduced to solving a system of dual integral equations in Fourier transforms for two unknown functions—even and odd. A unique approximate analytical method is used to solve these equations. After inverting the Fourier transform, approximate analytical expressions for the contact stresses and eccentricity are obtained.

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考虑黏着摩擦的功能梯度涂层与冲床的接触

研究了具有功能梯度涂层的弹性半平面表面上冲头的压痕和滑动的平面接触问题。粘着摩擦在接触处起作用。涂层的杨氏模量和泊松比根据任意的、独立的规律随深度变化。法向力以一定的偏心施加，以保持冲孔运动的平行性。这个问题被简化为在傅里叶变换中求解两个未知函数偶函数和奇函数的对偶积分方程组。采用了一种独特的近似解析方法来求解这些方程。通过傅里叶反变换，得到了接触应力和偏心率的近似解析表达式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mechanics of Solids 医学-力学

CiteScore

1.20

自引率

42.90%

发文量

112

审稿时长

6-12 weeks

期刊介绍： Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.