The dynamic contact of a viscoelastic coated half-plane under a rigid flat punch

2021 ◽  
pp. 1-16
Author(s):  
Xiao-Min Wang ◽  
Liao-Liang Ke ◽  
Yue-Sheng Wang
Keyword(s):  
Half Plane ◽  
Dynamic Contact ◽  
Flat Punch

scholarly journals A Paradox in Sliding Contact Problems With Friction

2003 ◽  
Vol 72 (3) ◽  
pp. 450-452 ◽  
Author(s):  
G. G. Adams ◽  
J. R. Barber ◽  
M. Ciavarella ◽  
J. R. Rice
Keyword(s):  
Half Plane ◽  
Slip Velocity ◽  
Finite Strain ◽  
Applied Pressure ◽  
Strain Analysis ◽  
Contact Problems ◽  
Rigid Punch ◽  
Flat Punch ◽  
Relative Slip ◽  
Velocity Changes

In problems involving the relative sliding to two bodies, the frictional force is taken to oppose the direction of the local relative slip velocity. For a rigid flat punch sliding over a half-plane at any speed, it is shown that the velocities of the half-plane particles near the edges of the punch seem to grow without limit in the same direction as the punch motion. Thus the local relative slip velocity changes sign. This phenomenon leads to a paradox in friction, in the sense that the assumed direction of sliding used for Coulomb friction is opposite that of the resulting slip velocity in the region sufficiently close to each of the edges of the punch. This paradox is not restricted to the case of a rigid punch, as it is due to the deformations in the half-plane over which the pressure is moving. It would therefore occur for any punch shape and elastic constants (including an elastic wedge) for which the applied pressure, moving along the free surface of the half-plane, is singular. The paradox is resolved by using a finite strain analysis of the kinematics for the rigid punch problem and it is expected that finite strain theory would resolve the paradox for a more general contact problem.

Rigid Punch on Stressed Orthotropic Half-Plane With Partial Slip

1991 ◽  
Vol 58 (1) ◽  
pp. 128-133 ◽  
Author(s):  
H. L. Bjarnehed
Keyword(s):  
Half Plane ◽  
Coulomb Friction ◽  
Uniaxial Stress ◽  
Free Edge ◽  
Contact Stresses ◽  
Partial Slip ◽  
Flat Punch ◽  
Stress Coefficient ◽  
Slip Region ◽  
Coulomb Friction Law

An orthotropic half-plane carrying a transverse uniaxial stress and loaded perpendicularly on the free edge by a rigid flat punch is considered. Governing integral equations are stated for the unknown contact stresses between the punch and the half-plane. An analytical solution for contact with complete adhesion and a numerical solution with limiting friction, according to the Coulomb friction law, are presented. Besides distributions of contact stresses the numerical results show relations between vertical load, applied uniform foundation stress, coefficient of Coulomb friction, and size of the slip region.

SINGULAR INTEGRAL EQUATION METHOD FOR MULTIPLE FLAT PUNCH PROBLEM FOR AN ELASTIC HALF-PLANE

2009 ◽  
Vol 06 (04) ◽  
pp. 605-614
Author(s):  
Y. Z. CHEN ◽  
Z. X. WANG ◽  
X. Y. LIN
Keyword(s):  
Stress Distribution ◽  
Integral Equations ◽  
Half Plane ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Integral Equation Method ◽  
Angle Distribution ◽  
Flat Punch ◽  
Singular Stress ◽  
Punch Problem

When a flat punch is indented on elastic half-plane, the singular stress distribution at the vicinity of the punch corners is studied. The angle distribution for the stress components is also achieved in an explicit form. From obtained singular stress distribution, the punch singular stress factor is defined. The multiple punch problem can be considered as a superposition of many single punch problems. Taking the stress distribution under the punch base as the unknown function and the deformation under punch as the right-hand term, a set of the singular integral equations for the multiple punch problem can be achieved. After the singular integral equations are solved, the stress distributions under punches can be obtained. In addition, the exerting locations of the resultant forces under punches can also be determined. Two numerical examples with the calculated results are presented.

Dynamic photoelastic investigation of wave propagation and energy transfer across contacts

1986 ◽  
Vol 21 (4) ◽  
pp. 213-218 ◽  
Author(s):  
A Shukla ◽  
H P Rossmanith
Keyword(s):  
Wave Propagation ◽  
Energy Transfer ◽  
Diffraction Pattern ◽  
Half Plane ◽  
Contact Area ◽  
Dynamic Contact ◽  
Time Dependent ◽  
Photoelastic Investigation

This paper deals with the dynamic contact of an explosively excited disc with another disc or a half-plane. Dynamic photoelastic recordings show the development of the time-dependent contact area and the formation of the highly complex diffraction pattern.

Mixed-Mode Stress Intensity Factors in a Homogeneous Orthotropic Medium Loaded by a Frictional Sliding Rigid Flat Stamp

2018 ◽  
Vol 774 ◽  
pp. 179-184 ◽  
Author(s):  
K.B. Yilmaz ◽  
Mehmet Ali Güler ◽  
Boray Yildirim
Keyword(s):  
Stress Intensity ◽  
Half Plane ◽  
Stress Intensity Factors ◽  
Mixed Mode ◽  
Orthotropic Materials ◽  
Geometrical Parameters ◽  
Orthotropic Medium ◽  
Intensity Factors ◽  
Flat Punch ◽  
Mode Stress

In this study, the crack problem for a homogeneous orthotropic medium loaded by a sliding rigid flat punch is considered. The homogeneous orthotropic medium is assumed to be a half-plane and is subjected to both normal and tangential forces through the sliding action of the punch. The crack on the homogeneous orthotropic medium is supposed to a depth of and is parallel to the direction of the normal force. The effect of the geometrical parameters and coefficient of friction on the mixed-mode stress intensity factors (mode I and mode II) is investigated using a computational approach using the finite element method. Augmented Lagrange method is used for the contact algorithm between the rigid flat punch and homogeneous orthotropic half-plane. This study may provide insight to the engineers in understanding the crack mechanisms in orthotropic materials in a comprehensive way and to identify early crack propagations under frictional loadings accurately.

scholarly journals Heat Conduction Through a Flat Punch

1981 ◽  
Vol 48 (4) ◽  
pp. 871-875 ◽  
Author(s):  
Maria Comninou ◽  
J. R. Barber ◽  
John Dundurs
Keyword(s):  
Heat Flux ◽  
Heat Conduction ◽  
Half Plane ◽  
Contact Region ◽  
Thermal Contact ◽  
Total Heat Flux ◽  
Flat Punch ◽  
Imperfect Contact ◽  
Perfect Contact ◽  
Perfect Thermal Contact

An elastic half plane is indented by a perfectly conducting rigid flat punch, which is maintained at a different temperature from the half plane. It is found that, depending on the magnitude and direction of the total heat flux, one of the following states occurs: separation at the punch corners, perfect thermal contact throughout the punch face, or an imperfect contact region at the center with adjacent perfect contact regions.

Sign in / Sign up

Export Citation Format

Share Document