Title : ( Stability and convergence analysis of singular integral equations for unequal arms branch crack problems in plane elasticity )
Authors: raziyeh ghorbanpoor , Jafar Saberi- Nadjafi , N.M.A. Nik Long , Majid Erfanian ,
Full TextAbstract
In this paper, an unequal arms branch crack problem in a plane elasticity is treated. Using distribution dislocation function and complex variable potential method, the problem is formulated into a singular integral equation. The appropriate integration scheme, in which a point dislocation is set at the origin and the distribution dislocation, is applied through all arms of the branch crack to solve the obtained singular integral equations numerically. Stability, convergence, the order of convergence, and the error term of the solution are an- alyzed. Some numerical examples are examined to describe the behavior of stress intensity factors at the endpoints of each branch crack.
Keywords
Singular integral equation; Branch crack problem; Complex potential method; Stress intensity factors
@article{paperid:1087642,
author = {Ghorbanpoor, Raziyeh and Saberi- Nadjafi, Jafar and N.M.A. Nik Long and Majid Erfanian},
title = {Stability and convergence analysis of singular integral equations for unequal arms branch crack problems in plane elasticity},
journal = {Applied Mathematical Modelling},
year = {2022},
volume = {103},
month = {March},
issn = {0307-904X},
pages = {731--749},
numpages = {18},
keywords = {Singular integral equation; Branch crack problem; Complex potential method; Stress intensity factors},
}
%0 Journal Article
%T Stability and convergence analysis of singular integral equations for unequal arms branch crack problems in plane elasticity
%A Ghorbanpoor, Raziyeh
%A Saberi- Nadjafi, Jafar
%A N.M.A. Nik Long
%A Majid Erfanian
%J Applied Mathematical Modelling
%@ 0307-904X
%D 2022
