Penetration of a rigid indentor into a laminar obstacle

1993 ◽  
Vol 28 (6) ◽  
pp. 534-538
Author(s):  
E. N. Volodina
Keyword(s):  
Rigid Indentor

Exact Analysis of Dynamic Sliding Indentation at any Constant Speed on an Orthotropic or Transversely Isotropic Half-Space

2002 ◽  
Vol 69 (3) ◽  
pp. 340-345 ◽  
Author(s):  
L. M. Brock
Keyword(s):  
Exact Solutions ◽  
Closed Form ◽  
Plane Strain ◽  
Half Space ◽  
Contact Zone ◽  
Transversely Isotropic ◽  
Exact Formula ◽  
Constant Speed ◽  
Displacement Fields ◽  
Rigid Indentor

A plane-strain study of steady sliding by a smooth rigid indentor at any constant speed on a class of orthotropic or transversely isotropic half-spaces is performed. Exact solutions for the full displacement fields are constructed, and applied to the case of the generic parabolic indentor. The closed-form results obtained confirm previous observations that physically acceptable solutions arise for sliding speeds below the Rayleigh speed, for a single critical transonic speed, and for all supersonic speeds. Continuity of contact zone traction is lost for the latter two cases. Calculations for five representative materials indicate that contact zone width achieves minimum values at high, but not critical, subsonic sliding speeds. A key feature of the analysis is the factorization that gives, despite anisotropy, solution expressions that are rather simple in form. In particular, a compact function of the Rayleigh-type emerges that leads to a simple exact formula for the Rayleigh speed itself.

Contact problem of a rigid indentor in second order elasticity theory

1983 ◽  
Vol 34 (3) ◽  
pp. 370-386 ◽  
Author(s):  
G. C. W. Sabin ◽  
P. N. Kaloni
Keyword(s):  
Contact Problem ◽  
Elasticity Theory ◽  
Second Order ◽  
Rigid Indentor

Contact problem of a rigid indentor with rotational friction in second order elasticity

1989 ◽  
Vol 27 (3) ◽  
pp. 203-217 ◽  
Author(s):  
G.C.W. Sabin ◽  
P.N. Kaloni
Keyword(s):  
Contact Problem ◽  
Second Order ◽  
Rigid Indentor

The Sliding With Coulomb Friction of a Rigid Indentor Over a Power-Law Inhomogeneous Linearly Viscoelastic Half-Plane

1984 ◽  
Vol 51 (2) ◽  
pp. 289-293 ◽  
Author(s):  
J. R. Walton
Keyword(s):  
Shear Modulus ◽  
Half Plane ◽  
Power Law ◽  
Equations Of Motion ◽  
Closed Form Solution ◽  
Form Solution ◽  
Plane Boundary ◽  
Physical Parameters ◽  
Title Problem ◽  
Rigid Indentor

In a previous paper, the title problem was solved for a homogeneous power-law linearly viscoelastic half-plane. Such material has a constant Poisson’s ratio and a shear modulus with a power-law dependence on time. In this paper, the shear modulus is assumed also to have a power-law dependence on depth from the half-plane boundary. As in the earlier paper, only a quasi-static analysis is presented, that is, the enertial terms in the equations of motion are not retained and the indentor is assumed to slide with constant speed. The resulting boundary value problem is reduced to a generalized Abel integral equation. A simple closed-form solution is obtained from which all relevant physical parameters are easily computed.

The Sliding of a Rigid Indentor Over a Power Law Viscoelastic Layer

1978 ◽  
Vol 45 (1) ◽  
pp. 111-113 ◽  
Author(s):  
A. Nachman ◽  
J. R. Walton
Keyword(s):  
Friction Coefficient ◽  
Layer Thickness ◽  
Power Law ◽  
Asymptotic Expansions ◽  
Unit Length ◽  
Viscoelastic Layer ◽  
Normal Traction ◽  
Rigid Indentor

The problem of the sliding of a rigid asperity over a power law viscoelastic layer is examined in the realistic limit of infinite (dimensionless) layer thickness. For a contact interval of unit length, asymptotic expansions for the normal traction over the interval together with several other physically relevant quantities (e.g., the friction coefficient) are developed in terms of an appropriate asymptotic sequence of powers of the (dimensionless) layer thickness.

scholarly journals Hysteretic Friction for the Transient Rolling Contact Problem of Linear Viscoelasticity

2000 ◽  
Vol 68 (4) ◽  
pp. 589-595 ◽  
Author(s):  
D. L. Chertok ◽  
J. M. Golden ◽  
G. A. C. Graham
Keyword(s):  
Integral Equation ◽  
Contact Problem ◽  
Rolling Contact ◽  
Interval Length ◽  
Variable Speed ◽  
Variable Loading ◽  
Standard Linear ◽  
Transient Rolling ◽  
Rigid Indentor ◽  
Hysteretic Friction

The problem of a smooth rigid indentor under variable loading moving across a viscoelastic half-space in one direction with variable speed is considered. The motion is assumed to be frictionless and the standard linear model is adopted to describe the viscoelastic material response. An integral equation is derived and a numerical algorithm for its solution subject to appropriate subsidiary conditions is constructed. The contact interval length, pressure, and coefficient of hysteretic friction are presented and the results discussed.

Indentation of a half-space with a rigid indentor

1983 ◽  
Vol 19 (10) ◽  
pp. 1555-1578 ◽  
Author(s):  
George Z. Voyiadjis ◽  
N. Ellis Buckner
Keyword(s):  
Half Space ◽  
Rigid Indentor

The contact behavior between a foam core sandwich plate and a rigid indentor

2002 ◽  
Vol 33 (4) ◽  
pp. 325-332 ◽  
Author(s):  
R. Sburlati
Keyword(s):  
Sandwich Plate ◽  
Foam Core ◽  
Contact Behavior ◽  
Rigid Indentor
Sign in / Sign up

Export Citation Format

Share Document