Contact Mechanics of Graded Materials: Analyses Using Singular Integral Equations

2008 ◽  
Author(s):  
Serkan Dag ◽  
Glaucio H. Paulino ◽  
Marek-Jerzy Pindera ◽  
Robert H. Dodds ◽  
Fernando A. Rochinha ◽  
...  
Keyword(s):  
Contact Mechanics ◽  
Integral Equations ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Graded Materials

scholarly journals Detailed Solution of a System of Singular Integral Equations for Mixed Mode Fracture in Functionally Graded Materials

2020 ◽  
Vol 12 (1) ◽  
pp. 43
Author(s):  
Youn-Sha Chan ◽  
Edward Athaide ◽  
Kathryn Belcher ◽  
Ryan Kelly
Keyword(s):  
Integral Equations ◽  
Functionally Graded Materials ◽  
Singular Integral ◽  
Mixed Mode ◽  
Crack Problem ◽  
Singular Integral Equations ◽  
Functionally Graded ◽  
Fredholm Integral Equations ◽  
Mixed Mode Fracture ◽  
Graded Materials

A mixed mode crack problem in functionally graded materials is formulated to a system of Cauchy singular Fredholm integral equations, then the system is solved by the singular integral equation method (SIEM). This specific crack problem has already been solved by N. Konda and F. Erdogan (Konda & Erdogan 1994). However, many mathematical details have been left out. In this paper we provide a detailed derivation, both analytical and numerical, on the formulation as well as the solution to the system of singular Fredholm integral equations. The research results include crack displacement profiles and stress intensity factors for both mode I and mode II, and the outcomes are consistent with the paper by Konda & Erdogan (Konda & Erdogan 1994).

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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