Singular integral equations of the plane problem of the theory of elasticity for an infinite piecewise-uniform body with cracks

1985 ◽  
Vol 20 (6) ◽  
pp. 573-579 ◽  
Author(s):  
M. P. Savruk ◽  
N. V. Timoshuk
Keyword(s):  
Integral Equations ◽  
Plane Problem ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Theory Of Elasticity

Arbitrarily Oriented Crack Inside an Elliptical Inclusion

1993 ◽  
Vol 60 (3) ◽  
pp. 589-594 ◽  
Author(s):  
G. Anlas ◽  
M. H. Santare
Keyword(s):  
Integral Equations ◽  
Plane Problem ◽  
Green's Function ◽  
Singular Integral ◽  
Edge Dislocation ◽  
Singular Integral Equations ◽  
Complex Potentials ◽  
Elliptic Inclusion ◽  
Elliptical Inclusion ◽  
Arbitrarily Oriented Crack

The plane problem of an elastic elliptic inclusion containing a crack is solved. Complex potentials presented by Qaissaunee (1992) for an edge dislocation inside an elastic elliptical inclusion are used to obtain the Green’s function for this problem. The problem is formulated in terms of systems of singular integral equations which are solved numerically. Some detailed results are given for various crack inclusion geometries and material combinations.

scholarly journals CUBIC MECHANICAL METHOD FOR THE NONLINEAR SYSTEM OF SINGULAR INTEGRAL EQUATIONS

1990 ◽  
Vol 21 (3) ◽  
pp. 201-209
Author(s):  
R. P. Eissa ◽  
M. M. Gad
Keyword(s):  
Approximate Solution ◽  
Nonlinear System ◽  
Integral Equations ◽  
Nonlinear Equations ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Original System ◽  
Theory Of Elasticity ◽  
Discrete Operator ◽  
Mechanical Method

Many applied problems in the theory of elasticity can be reduced to the solution of singular integral equations either linear or nonlinear. In this paper we shall study a nonlinear system of singular integral equations which appear on the closed Lipanouv surface in an ideal medium [4]. We shall find a cubic mechanical method which corresponds to the system and prove its convergence; we obtained a discrete operator which corresponds to this system and study its properties and then a solution to the resulting system of the nonlinear equations which leads to an approximate solution for the original system and its convergence.

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
Sign in / Sign up

Export Citation Format

Share Document