On some singular integral equations appearing in contact problems for the elastic cylinder

1992 ◽  
Vol 28 (2) ◽  
pp. 97-109 ◽  
Author(s):  
G. M. L. Gladwell
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Contact Problems ◽  
Elastic Cylinder

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.

scholarly journals APPLICATION OF SINGULAR INTEGRAL EQUATIONS IN SOLVING SOME CONTACT PROBLEMS IN THEORY OF ELASTICITY

2019 ◽  
Vol 1 (1) ◽  
pp. 46-55
Author(s):  
V. Gavdzinski ◽  
◽  
M. El–Sheikh ◽  
E. Maltseva ◽  
◽  
...  
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Contact Problems ◽  
Theory Of Elasticity

scholarly journals Regularity of the minimiser of one-dimensional interaction energies

2020 ◽  
Vol 26 ◽  
pp. 27
Author(s):  
M. Kimura ◽  
P. van Meurs
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Matrix Theory ◽  
Singular Integral Equations ◽  
Contact Problems ◽  
Nonlocal Interaction ◽  
Interaction Energies ◽  
Fredholm Type ◽  
Dimensional Interaction ◽  
Regularity Results

We consider both the minimisation of a class of nonlocal interaction energies over non-negative measures with unit mass and a class of singular integral equations of the first kind of Fredholm type. Our setting covers applications to dislocation pile-ups, contact problems, fracture mechanics and random matrix theory. Our main result shows that both the minimisation problems and the related singular integral equations have the same unique solution, which provides new regularity results on the minimiser of the energy and new positivity results on the solutions to singular integral equations.

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
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