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.

A Coupled Eulerian–Lagrangian Model for Sliding Inception of Elastic–Plastic Spherical Contact

2020 ◽  
Vol 143 (1) ◽  
Author(s):  
Haibo Zhang ◽  
Izhak Etsion
Keyword(s):  
Computing Time ◽  
Static Friction ◽  
Lagrangian Model ◽  
Convergence Problem ◽  
Lagrangian Models ◽  
Spherical Contact ◽  
Elastic Plastic ◽  
Static Friction Coefficient ◽  
Tangential Stiffness ◽  
Explicit Dynamic

Abstract Currently existing finite element (FE) Lagrangian models of elastic–plastic spherical contact are costly in terms of computing time to reach vanishing tangential stiffness at sliding inception. A coupled Eulerian–Lagrangian (CEL) model with explicit dynamic analysis and power-law hardening is proposed to resolve this problem. The CEL model also avoids convergence problem caused by excessive distortion of elements in Lagrangian models. Static friction coefficient at sliding inception is investigated and compared with available experimental results. It is found that the proposed new CEL model is more efficient and accurate compared to previously published results of Lagrangian models.

Multiple Loading-Unloading of an Elastic-Plastic Spherical Contact

2005 ◽  
Author(s):  
Yuri Kadin ◽  
Yuri Kligerman ◽  
Izhak Etsion
Keyword(s):  
Plastic Deformation ◽  
Elastic Limit ◽  
Loading Conditions ◽  
Spherical Contact ◽  
Elastic Plastic ◽  
Wide Range ◽  
Plastic Sphere ◽  
Multiple Loading

A model for multiple loading-unloading of an elastic-plastic sphere and a rigid flat is presented to cover a wide range of loading conditions far beyond the elastic limit. It is shown that although most of the plastic deformation occurs during the first loading, additional plastic deformation may evolve during the first unloading and a few subsequent loading-unloading cycles.

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.

A Semi-Analytical Solution for the Sliding Inception of a Spherical Contact

2003 ◽  
Vol 125 (3) ◽  
pp. 499-506 ◽  
Author(s):  
Lior Kogut ◽  
Izhak Etsion
Keyword(s):  
Friction Coefficient ◽  
Analytical Solution ◽  
Failure Modes ◽  
Static Friction ◽  
Element Analysis ◽  
Tangential Load ◽  
Spherical Contact ◽  
Elastic Plastic ◽  
Perfectly Plastic ◽  
Elastic Perfectly Plastic

A finite element analysis, for an elastic perfectly plastic sphere normally loaded by a rigid flat, is combined with an approximate analytical solution to evaluate the maximum tangential load (static friction) that can be supported by the spherical contact at the inception of sliding. Sliding inception is treated as a failure mechanism based on plastic yield rather than a Coulomb friction law with a certain friction coefficient. Two different failure modes are identified, either on the contact area or below it, depending on the elastic-plastic status of the normal preloading. A limiting normal preload is found above which the contact cannot support any additional tangential load. Simple analytical expressions for an “internal static friction coefficient” are presented for both the elastic and the elastic-plastic regimes.

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.

The Effect of Surface Roughness on Static Friction and Junction Growth of an Elastic-Plastic Spherical Contact

2009 ◽  
Vol 131 (2) ◽  
Author(s):  
D. Cohen ◽  
Y. Kligerman ◽  
I. Etsion
Keyword(s):  
Surface Roughness ◽  
Normal Load ◽  
Static Friction ◽  
Threshold Value ◽  
Real Contact Area ◽  
Surface Model ◽  
Spherical Contact ◽  
Elastic Plastic ◽  
Surface Models ◽  
Effect Of Surface

A model for elastic-plastic spherical contact of rough surfaces under combined normal and tangential loadings, with full stick contact condition, is presented. The model allows evaluation of the effect of surface roughness on the real contact area, static friction and junction growth under small normal loads. It is shown that as the normal load approaches a certain threshold value, which depends on the plasticity index, the results of the present rough surface model approach these of previous corresponding models for smooth sphere and a rigid flat. At normal load values below the threshold load, the correlation of the present results and published experimental results is much better in comparison with the results of the smooth surface models.

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