The Surface Temperature of a Half-Plane Subjected to Rolling/Sliding Contact With Convection

2000 ◽  
Vol 122 (4) ◽  
pp. 864-866 ◽  
Author(s):  
F. D. Fischer ◽  
E. Werner ◽  
K. Knothe
Keyword(s):  
Integral Equation ◽  
Surface Temperature ◽  
Half Plane ◽  
Volterra Integral Equation ◽  
Fast Moving ◽  
Laplace Transformation ◽  
Sliding Contact ◽  
Transformation Technique ◽  
Analytical Expression

Based on earlier works by the authors an analytical expression for the surface temperature of a halfplane heated by fast moving rolling/sliding contact and cooled by convection on the surface of the halfplane is presented by applying the Laplace transformation technique and the solution of a Volterra integral equation of the second kind. [S0742-4787(00)00604-4]

scholarly journals Nonsteady frictional heating on a sliding contact

2018 ◽  
Vol 226 ◽  
pp. 03030
Author(s):  
Vladimir B. Zelentsov ◽  
Boris I. Mitrin
Keyword(s):  
Integral Equation ◽  
Singular Integral Equation ◽  
Contact Problem ◽  
Half Plane ◽  
Frictional Heating ◽  
Contact Stresses ◽  
Sliding Contact ◽  
Singular Equation ◽  
Static Contact ◽  
Class Of Functions

We consider quasi-static contact problem on frictional heating on a sliding contact of a rotating rigid cylinder and a half-plane. The cylinder is pressed towards the half-plane material. The problem is reduced to solution of a singular integral equation with respect to contact stresses. Solution of the singular equation is looked for in a class of functions limited on the edge, with two additional conditions to determine timedependent boundaries of the contact area. Temperature at the contact and inside the half-plane is determined in terms of contact stresses.

Conservative solute transport with periodic velocity and sinusoidal source concentration in semi-infinite porous media: An analytical solution

2014 ◽  
Vol 6 (1) ◽  
pp. 1024-1031
Author(s):  
R R Yadav ◽  
Gulrana Gulrana ◽  
Dilip Kumar Jaiswal
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Laplace Transformation ◽  
Seepage Velocity ◽  
Transformation Technique ◽  
Numerical Examples ◽  
One Dimensional ◽  
Porous Domain ◽  
Conservative Solute Transport ◽  
Source Concentration

The present paper has been focused mainly towards understanding of the various parameters affecting the transport of conservative solutes in horizontally semi-infinite porous media. A model is presented for simulating one-dimensional transport of solute considering the porous medium to be homogeneous, isotropic and adsorbing nature under the influence of periodic seepage velocity. Initially the porous domain is not solute free. The solute is initially introduced from a sinusoidal point source. The transport equation is solved analytically by using Laplace Transformation Technique. Alternate as an illustration; solutions for the present problem are illustrated by numerical examples and graphs.

Approximate Solution Of A Singular Integral Equation With A Multiplicative Cauchy Kernel In The Half-Plane

2008 ◽  
Vol 8 (2) ◽  
pp. 143-154 ◽  
Author(s):  
P. KARCZMAREK
Keyword(s):  
Integral Equation ◽  
Approximate Solution ◽  
Singular Integral Equation ◽  
Half Plane ◽  
Singular Integral ◽  
Trigonometric Polynomials ◽  
Cauchy Kernel

AbstractIn this paper, Jacobi and trigonometric polynomials are used to con-struct the approximate solution of a singular integral equation with multiplicative Cauchy kernel in the half-plane.

Cracking of a Graded Half Plane Due to Sliding Contact

2001 ◽  
Author(s):  
Frazil Erdogan ◽  
Serkan Dag
Keyword(s):  
Half Plane ◽  
Sliding Contact

On the Volterra integral equation relating creep and relaxation

2008 ◽  
Vol 24 (3) ◽  
pp. 035009 ◽  
Author(s):  
R S Anderssen ◽  
A R Davies ◽  
F R de Hoog
Keyword(s):  
Integral Equation ◽  
Volterra Integral Equation
Sign in / Sign up

Export Citation Format

Share Document