Title :
Circular arc crack near an interface
Author_Institution :
St.-Peterburg State Univ., St. Petersburg, Russia
fDate :
June 30 2014-July 4 2014
Abstract :
The analytical solution of a plane problem for a bimaterial plane with a crack in the shape of the circular arc located near an interface is obtained. On the crack edges external load is applied. At infinity stresses and angles of rotation are given. Method of complex potentials of Kolosov - Muskhelishvili together with a superposition method is used for solving the problem. The boundary problem is reduced to a Fredholm equation of the second kind, which solution is constructed in a polynomial form. Formulas for stress intensity factors are obtained.
Keywords :
Fredholm integral equations; internal stresses; surface cracks; Fredholm equation; Kolosov-Muskhelishvili complex potentials; analytical solution; angles-of-rotation; bimaterial plane; boundary problem; circular arc interface crack; crack edge external load; infinity stresses; plane problem; polynomial form; stress intensity factors; superposition method; Materials; Mathematical model; Polynomials; Shape; Stress; Surface cracks;
Conference_Titel :
Vacuum Electron Sources Conference (IVESC), 2014 Tenth International
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4799-5770-5
DOI :
10.1109/IVESC.2014.6892030
