A Mesh-Adapted Closed-Form Regular Kernel for 3D Singular Integral Equations

2008 ◽  
Vol 56 (6) ◽  
pp. 1687-1698 ◽  
Author(s):  
Francesca Vipiana ◽  
Alessia Polemi ◽  
Stefano Maci ◽  
Giuseppe Vecchi
Keyword(s):  
Closed Form ◽  
Integral Equations ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Regular Kernel

scholarly journals Biaxial Loading of a Plate Containing a Hole and Two Co-Axial Through Cracks

2018 ◽  
Vol 12 (3) ◽  
pp. 237-242
Author(s):  
Heorgij Sulym ◽  
Viktor Opanasovych ◽  
Mykola Slobodian ◽  
Yevhen Yarema
Keyword(s):  
Stress Intensity ◽  
Closed Form ◽  
Integral Equations ◽  
Singular Integral ◽  
Linear Elasticity ◽  
Stress Intensity Factors ◽  
Biaxial Loading ◽  
Isotropic Plate ◽  
Singular Integral Equations ◽  
Intensity Factors

Abstract The paper presents the solution linear elasticity problem for an isotropic plate weakened by a hole and two co-axial cracks. The plate is exerted by uniform traction at infinity. The corresponding 2D problem is solved by the method of Kolosova-Muskhelishvili complex potentials. The method implies reduction of the problem to simultaneous singular integral equations (SIE) for the functions defined the region of the cracks and hole. For particular case the solution the SIE is obtained analytically in a closed form. A thorough analysis of the stress intensity factors (SIF) is carried out for various cases of the hole shape: penny-shaped, elliptical and rectangular.

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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