Theoretical and Experimental Investigation of Plastic Hysteresis in Spherical Contact Under Combined Normal and Tangential Loading

2008 ◽  
Author(s):  
Yuri Kligerman ◽  
Andrey Ovcharenko ◽  
Izhak Etsion ◽  
Gregory Halperin
Keyword(s):  
Experimental Investigation ◽  
Theoretical Model ◽  
Stress State ◽  
Contact Area ◽  
Kinematic Hardening ◽  
Contact Condition ◽  
Tangential Displacement ◽  
Elastic Plastic ◽  
Plastic Sphere ◽  
Good Agreement

The behavior of an elastic-plastic contact between a deformable sphere and a rigid flat under combined constant normal and reciprocating tangential loading is investigated theoretically and experimentally. The theoretical model is based on the assumptions of full stick contact condition and elastic–linear kinematic hardening of the sphere material. Hysteretic change of friction force versus tangential displacement during reciprocating tangential loading is investigated along with the study of the change of the contact area and stress state in the elastic-plastic sphere. Good agreement between theoretical and experimental results is obtained.

Theoretical Model of Plastic Hysteresis in Spherical Contact Under Combined Normal and Tangential Loading

2008 ◽  
Author(s):  
Yuri Kligerman ◽  
Izhak Etsion
Keyword(s):  
Theoretical Model ◽  
Stress State ◽  
Friction Force ◽  
Contact Area ◽  
Contact Condition ◽  
Experimental Results ◽  
Tangential Displacement ◽  
Elastic Plastic ◽  
Plastic Sphere ◽  
Good Agreement

The behavior of an elastic-plastic contact between a deformable sphere and a rigid flat under combined constant normal and reciprocating tangential loading is investigated in the present work. The theoretical model is based on the assumptions of full stick contact condition and two kinds of the sphere material hardening. Hysteretic change of friction force versus tangential displacement during reciprocating tangential loading is investigated along with the study of the change of the contact area and stress state in the elastic-plastic sphere. Good agreement between theoretical and experimental results is obtained.

scholarly journals Effect of Strain Hardening on Elastic-Plastic Contact of a Deformable Sphere against a Rigid Flat under Full Stick Contact Condition

2012 ◽  
Vol 2012 ◽  
pp. 1-8 ◽  
Author(s):  
Biplab Chatterjee ◽  
Prasanta Sahoo
Keyword(s):  
Strain Hardening ◽  
Kinematic Hardening ◽  
Contact Condition ◽  
Isotropic Hardening ◽  
Contact Conditions ◽  
Elastic Plastic ◽  
Finite Element Software ◽  
Hardening Models ◽  
Load Carrying ◽  
Contact Parameters

The present study considers the effect of strain hardening on elastic-plastic contact of a deformable sphere with a rigid flat under full stick contact condition using commercial finite element software ANSYS. Different values of tangent modulus are considered to study the effect of strain hardening. It is found that under a full stick contact condition, strain hardening greatly influences the contact parameters. Comparison has also been made between perfect slip and full stick contact conditions. It is observed that the contact conditions have negligible effect on contact parameters. Studies on isotropic and kinematic hardening models reveal that the material with isotropic hardening has the higher load carrying capacity than that of kinematic hardening particularly for higher strain hardening.

The Evolution of Static Friction for Elastic-Plastic Spherical Contact in Pre-sliding

2011 ◽  
Vol 133 (3) ◽  
Author(s):  
V. Zolotarevskiy ◽  
Y. Kligerman ◽  
I. Etsion
Keyword(s):  
Static Friction ◽  
Contact Condition ◽  
Spherical Contact ◽  
Elastic Plastic ◽  
Tangential Stiffness ◽  
Plastic Sphere ◽  
Dimensionless Equations

The evolution of static friction and tangential stiffness in presliding of an elastic-plastic sphere in contact with a rigid flat, under full stick contact condition, is analyzed. Empirical dimensionless equations are developed for these parameters.

Loading-Unloading of an Elastic-Plastic Adhesive Spherical Contact

2008 ◽  
Author(s):  
Yuri Kadin ◽  
Yuri Kligerman ◽  
Izhak Etsion
Keyword(s):  
Kinematic Hardening ◽  
Adhesive Contact ◽  
Isotropic Hardening ◽  
Jones Potential ◽  
Elastic Plastic ◽  
Plastic Sphere ◽  
Linear Spring ◽  
Two Parameters ◽  
Plasticity Parameter ◽  
Force Displacement

A numerical solution is presented for a single load-unload cycle of an adhesive contact between an elastic-plastic sphere and a rigid flat. The interacting forces between the sphere and the flat are obtained through connecting non-linear spring elements having force-displacement behavior that obeys the Lennard-Jones potential. Linear kinematic hardening (with tangent modulus of 2% and 5% of the Young’s modulus) rather than isotropic hardening is assumed for the sphere material to account for possible secondary plastification during the unloading. The well known Tabor parameter and a plasticity parameter are shown to be the two main dimensionless parameters governing the problem. The effects of these two parameters on the load-approach curves, on the plastically deformed sphere profiles and on the plastic strain fields inside the sphere are presented, showing different modes of separation during the unloading.

Spherical Elastic–Plastic Contact Model for Power-Law Hardening Materials Under Combined Normal and Tangential Loads

2016 ◽  
Vol 139 (2) ◽  
Author(s):  
Bin Zhao ◽  
Song Zhang ◽  
Leon M. Keer
Keyword(s):  
Contact Pressure ◽  
Power Law ◽  
Contact Area ◽  
Normal Force ◽  
Tangential Force ◽  
Tangential Displacement ◽  
Tangential Load ◽  
Elastic Plastic ◽  
Normal And Tangential Loads ◽  
Von Mises

The contact between a power-law hardening elastic–plastic sphere and a rigid flat under combined normal and tangential loads in full stick is studied in this work. The displacement-driven loading is used since the frictional contact problems under the displacement-driven loading are widespread in the fields of metal forming and orthogonal cutting. The loading process is as follows: First, a normal displacement-driven loading is imposed on the rigid flat and kept constant; then, an additional tangential displacement-driven loading is applied to the rigid flat. The elastic–plastic contact behavior in presliding is investigated with a proposed finite element (FE) model, including the tangential force, the von Mises stress, the normal force, the contact pressure, and the contact area. The effect of the strain-hardening exponent on contact behavior is considered. It is seen that the tangential force increases nonlinearly with the increase of the tangential displacement, exhibiting gradual stiffness reduction which implies that the junction becomes more plastic. The von Mises stresses moves along the direction of the tangential load, while the maximum stress moves to the contact surface from the below. The normal force diminishes as the tangential load increases, and more obviously for the lower hardening exponent cases. The contact pressure also decreases more significantly for the lower hardening exponent cases. In addition, smaller exponents result in a greater increase of the contact area. The empirical expressions of the tangential force and the contact area in the tangential loading process are also proposed by fitting to the FE results.

Experimental Investigation of the Elastic–Plastic Contact Area and Static Friction of a Sphere on Flat

2005 ◽  
Vol 127 (1) ◽  
pp. 47-50 ◽  
Author(s):  
I. Etsion ◽  
O. Levinson ◽  
G. Halperin ◽  
M. Varenberg
Keyword(s):  
Experimental Investigation ◽  
Contact Area ◽  
Normal Load ◽  
Static Friction ◽  
Quantitative Agreement ◽  
Poor Agreement ◽  
Dramatic Decrease ◽  
Normal Loading ◽  
Elastic Plastic ◽  
Static Friction Coefficient

An experimental investigation is presented to evaluate recently published models for the contact and sliding inception of a deformable sphere loaded against a smooth rigid flat. The effects of the normal load on the contact area, junction growth, and the static friction force in the elastic–plastic contact regime are presented. Very good correlation is found between the predicted and measured contact area. A dramatic decrease of the static friction coefficient with increasing normal loading is observed, similar to the trend predicted by the model. The quantitative agreement is, however, less satisfying. Some possible reasons for the poor agreement are pointed out.

Plastic Deterministic Contact of Rough Surfaces

2007 ◽  
Vol 129 (4) ◽  
pp. 957-962 ◽  
Author(s):  
J. Jamari ◽  
M. B. de Rooij ◽  
D. J. Schipper
Keyword(s):  
Experimental Investigation ◽  
Plastic Deformation ◽  
Theoretical Model ◽  
Surface Topography ◽  
Rough Surface ◽  
Contact Area ◽  
Rough Surfaces ◽  
Bulk Deformation ◽  
Elliptical Contact ◽  
Single Contact

In this paper, a theoretical and experimental investigation is presented to study the contact behavior of the plastic contact of deterministic rough surfaces. Analyses exclude bulk deformation of the rough surface and concentrate to the contact on asperity level. Surface asperities are modeled by an array of elliptic paraboloids where the unit event of a single contact is analyzed using an elastic-plastic elliptical contact model. A new method to determine the surface topography change due to plastic deformation is presented. Results show that the theoretical model developed predicts the contact area and the deformed geometry of the rough surface very well.

An Experimental Investigation of Elastic Plastic Contact and Friction of a Sphere on Flat

2003 ◽  
Author(s):  
Ofer Levinson ◽  
Izhak Etsion ◽  
Grigori Halperin
Keyword(s):  
Experimental Investigation ◽  
Contact Area ◽  
Normal Load ◽  
Static Friction ◽  
Quantitative Agreement ◽  
Poor Agreement ◽  
Dramatic Decrease ◽  
Normal Loading ◽  
Elastic Plastic ◽  
Static Friction Coefficient

An experimental investigation is presented to evaluate recently published models for the contact and sliding inception of a deformable sphere loaded against a smooth rigid flat. The effects of the normal load on the contact area, junction growth, and the static friction force in the elastic-plastic contact regime are presented. Very good correlation is found between the predicted and measured contact area. A dramatic decrease of the static friction coefficient with increasing normal loading is observed, similar to the trend predicted by the model. The quantitative agreement is, however, less satisfying. Some possible reasons for the poor agreement are pointed out.

A Multilevel Model for Elastic-Plastic Contact Between a Sphere and a Flat Rough Surface

2009 ◽  
Vol 131 (2) ◽  
Author(s):  
F. Steven Wang ◽  
Joseph M. Block ◽  
W. Wayne Chen ◽  
Ashlie Martini ◽  
Kun Zhou ◽  
...  
Keyword(s):  
Contact Area ◽  
Multilevel Model ◽  
Coarse Grid ◽  
Real Contact Area ◽  
Machined Surface ◽  
Elastic Plastic ◽  
Real Contact ◽  
Calculated Load ◽  
Surface Deflection ◽  
Good Agreement

Elastic-plastic contact of a smooth sphere and a half-space with a real machined surface is simulated using an integration-based multilevel contact model. The total surface deflection is composed of bulk and asperity deformations. They are calculated at the global and the asperity level, respectively, which are connected through the asperity-supporting load. With this new model, the accurate contact area and contact pressure under a given load are quickly predicted using a relatively coarse grid system. The calculated load-area curve shows good agreement with the experimental data. Finally, the effects of the surface topography, including roughness and the asperity radius, upon the real contact area are analyzed.

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