The Influence of Thermal Deformation on the Contact Temperature of Sliding Asperities

1992 ◽  
Vol 59 (2S) ◽  
pp. S102-S106
Author(s):  
C.-J. Lu ◽  
D. B. Bogy
Keyword(s):  
Surface Temperature ◽  
Integral Equations ◽  
Contact Pressure ◽  
Singular Integral ◽  
Contact Area ◽  
Thermal Deformation ◽  
Singular Integral Equations ◽  
Contact Temperature ◽  
Contact Conditions ◽  
Usual Assumption

The effect of thermal deformation on contact temperature is investigated by considering a spherical asperity sliding on the surface of a semi-infinite insulated solid. The usual assumption that thermal deformation does not change the contact conditions is examined. The problem is mathematically formulated using appropriate Green’s functions to derive singular integral equations for the contact pressure. The relations between the radius of contact area, indentation, surface temperature, and moving velocity are calculated. A two asperities model is used to explain the load partition due to thermal deformation.

Contact of Coated Systems Under Sliding Conditions

2006 ◽  
Vol 128 (4) ◽  
pp. 886-890 ◽  
Author(s):  
Lifeng Ma ◽  
Alexander M. Korsunsky ◽  
Kun Sun
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Contact Problems ◽  
Sliding Contact ◽  
Integration Scheme ◽  
Singular Behavior ◽  
Contact Conditions ◽  
Numerical Integration Scheme ◽  
Traction Distribution

The contact of coated systems under sliding conditions is considered within the framework of elasticity theory with the assumption of perfect bond between coating and substrate. Formulation is introduced in the form of a system of coupled singular integral equations of the second kind with Cauchy kernels that describe contact problems for coated bodies under complete, semi-complete and incomplete contact conditions. Accurate and efficient numerical method for the solution of sliding contact problems is described. Explicit results are presented for the interpolative Gauss-Jacobi numerical integration scheme for singular integral equations of the second kind with Cauchy kernels. The method captures correctly both regular and singular behavior of the traction distribution near the edges of contact. Several cases of sliding contact are considered to demonstrate the validity of the method.

SOLUTION TO THE MODEL PROBLEM OF EXCITATION OF LOADED CONIC SLOT ANTENNA BY METHOD OF SINGULAR INTEGRAL EQUATIONS

2016 ◽  
Vol 75 (20) ◽  
pp. 1799-1812
Author(s):  
V. A. Doroshenko ◽  
S.N. Ievleva ◽  
N.P. Klimova ◽  
A. S. Nechiporenko ◽  
A. A. Strelnitsky
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Model Problem ◽  
Singular Integral Equations ◽  
Slot Antenna

Singular integral equations in the bound-state problem

1965 ◽  
Vol 35 (3) ◽  
pp. 913-932 ◽  
Author(s):  
G. Cosenza ◽  
L. Sertorio ◽  
M. Toller
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Bound State ◽  
State Problem ◽  
Bound State Problem

scholarly journals Methods of solution of singular integral equations

2012 ◽  
Vol 6 (1) ◽  
pp. 15 ◽  
Author(s):  
Aloknath Chakrabarti ◽  
Subash Chandra Martha
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Singular Integral Equations
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