Title :
Circular arc crack near an interface
Author_Institution :
Fac. of Appl. Math. & Control Processes, St. Petersburg State Univ., St. Petersburg, Russia
fDate :
June 30 2014-July 4 2014
Abstract :
The analytical solution of a plane problem for two jointed half-planes 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.
Keywords :
computational geometry; Fredholm equation; analytical solution; angles of rotation; boundary problem; circular arc crack; complex Kolosov-Muskhelishvili potential; crack edge external load; infinity stresses; jointed half-planes; plane problem; polynomial form; superposition method; Integral equations; Materials; Polynomials; Shape; Stress; Surface cracks;
Conference_Titel :
Emission Electronics (ICEE), 2014 2nd International Conference on
Conference_Location :
St. Petersburg
DOI :
10.1109/Emission.2014.6893968
