scholarly journals Non-slipping adhesive contact of a rigid cylinder on an elastic power-law graded half-space

2010 ◽  
Vol 47 (11-12) ◽  
pp. 1508-1521 ◽  
Author(s):  
Fan Jin ◽  
Xu Guo
Keyword(s):  
Half Space ◽  
Power Law ◽  
Adhesive Contact ◽  
Rigid Cylinder

A Unified Treatment of Axisymmetric Adhesive Contact on a Power-Law Graded Elastic Half-Space

2013 ◽  
Vol 80 (6) ◽  
Author(s):  
Fan Jin ◽  
Xu Guo ◽  
Wei Zhang
Keyword(s):  
Half Space ◽  
Power Law ◽  
Contact Region ◽  
Adhesive Contact ◽  
Elastic Half Space ◽  
Hertzian Contact ◽  
Contact Radius ◽  
Abel Transformation ◽  
Numerical Solution Methods ◽  
Special Cases

In the present paper, axisymmetric frictionless adhesive contact between a rigid punch and a power-law graded elastic half-space is analytically investigated with use of Betti's reciprocity theorem and the generalized Abel transformation, a set of general closed-form solutions are derived to the Hertzian contact and Johnson–Kendall–Roberts (JKR)-type adhesive contact problems for an arbitrary punch profile within a circular contact region. These solutions provide analytical expressions of the surface stress, deformation fields, and equilibrium relations among the applied load, indentation depth, and contact radius. Based on these results, we then examine the combined effects of material inhomogeneities and punch surface morphologies on the adhesion behaviors of the considered contact system. The analytical results obtained in this paper include the corresponding solutions for homogeneous isotropic materials and the Gibson soil as special cases and, therefore, can also serve as the benchmarks for checking the validity of the numerical solution methods.

Adhesive contact of a rigid circular cylinder to a soft elastic substrate – the role of surface tension

Soft Matter ◽  
2015 ◽  
Vol 11 (19) ◽  
pp. 3844-3851 ◽  
Author(s):  
Tianshu Liu ◽  
Anand Jagota ◽  
Chung-Yuen Hui
Keyword(s):  
Surface Tension ◽  
Circular Cylinder ◽  
Contact Mechanics ◽  
Half Space ◽  
Elastic Material ◽  
Adhesive Contact ◽  
Elastic Substrate ◽  
Rigid Cylinder

This article studies the effects of surface tension on the adhesive contact mechanics of a long rigid cylinder on an infinite half space comprising an incompressible elastic material.

scholarly journals Mechanics of adhesive contact on a power-law graded elastic half-space

2009 ◽  
Vol 57 (9) ◽  
pp. 1437-1448 ◽  
Author(s):  
Shaohua Chen ◽  
Cong Yan ◽  
Peng Zhang ◽  
Huajian Gao
Keyword(s):  
Half Space ◽  
Power Law ◽  
Adhesive Contact ◽  
Elastic Half Space

scholarly journals Контактные свойства градиентных материалов с высоким показателем градиентности

2021 ◽  
Vol 91 (11) ◽  
pp. 1625
Author(s):  
Я.А. Ляшенко ◽  
В.Л. Попов
Keyword(s):  
Contact Problem ◽  
Half Space ◽  
Power Law ◽  
Modulus Of Elasticity ◽  
Stable Solution ◽  
Adhesive Contact ◽  
Power Law Function

An adhesive contact between an incompressible parabolic indenter and a half-space is investigated, the modulus of elasticity of which is a power-law function of depth. A diagram showing the areas corresponding to a stable solution of the contact problem for high gradientness indexes is shown. It is shown that the adhesive contact between materials with a high gradientness indexes is not destroyed when they are moved at any distance from each other.

A Generalized Model for Adhesive Contact Between a Rigid Cylinder and a Transversely Isotropic Substrate

2012 ◽  
Vol 80 (1) ◽  
Author(s):  
Haimin Yao
Keyword(s):  
Adhesion Force ◽  
Transversely Isotropic ◽  
Generalized Solution ◽  
Adhesive Contact ◽  
Equilibrium Conditions ◽  
Space Problem ◽  
Rigid Cylinder ◽  
Adhesion Behavior ◽  
Griffith’S Criterion ◽  
Resistant Moment

In this paper, a solution to the quasi-static adhesive contact problem between a rigid cylinder and a transversely isotropic substrate is extended to the most general case by taking adhesion hysteresis into account. An analytical solution to the contact stress is obtained by solving the integral equations established on the basis of the Green's function for the two-dimensional transversely isotropic half-space problem. By using equilibrium conditions and Griffith's criterion, the adhesion force and resistant moment to rolling are determined as functions of contact geometries and material properties of the contacting solids. Detailed discussions on the adhesion force and resistant moment are presented for some specific cases, revealing adhesion behaviors that have not been predicted by previous models. As the most generalized solution to the discussed problem, our results would have extensive applications in predicting the adhesion behavior between solids undergoing sophisticated mechanical loadings.

Plane Strain Sliding Contact Between a Rigid Cylinder and a Pseudoelastic Shape Memory Alloy Half-Space

2018 ◽  
Author(s):  
Ralston Fernandes ◽  
James G. Boyd ◽  
Dimitris C. Lagoudas ◽  
Sami El-Borgi
Keyword(s):  
Shape Memory Alloy ◽  
Shape Memory ◽  
Half Space ◽  
Maximum Stress ◽  
Transformation Strain ◽  
Elastic Half Space ◽  
Sliding Contact ◽  
Temperature Dependent ◽  
Rigid Cylinder ◽  
Parametric Studies

This study uses the finite element method to analyze the sliding contact behavior between a rigid cylinder and a shape memory alloy (SMA) semi-infinite half-space. An experimentally validated constitutive model is used to capture the pseudoelastic effect exhibited by these alloys. Parametric studies involving the maximum recoverable transformation strain and the transformation temperatures are performed to analyze the effects that these parameters have on the stress fields during indentation and sliding contact. It is shown that, depending on the amount of recoverable transformation strain possessed by the alloy, a reduction of almost 40 % of the maximum stress in the pseudoelastic half-space is achieved when compared to the maximum stress in a purely elastic half-space. The studies also reveal that the sliding response is strongly temperature dependent, with significant residual stress present in the half-space at temperatures below the austenitic finish temperature.

scholarly journals The JKR-type adhesive contact problems for power-law shaped axisymmetric punches

2014 ◽  
Vol 68 ◽  
pp. 14-32 ◽  
Author(s):  
Feodor M. Borodich ◽  
Boris A. Galanov ◽  
Maria M. Suarez-Alvarez
Keyword(s):  
Power Law ◽  
Contact Problems ◽  
Adhesive Contact
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