Premium
Stress Distribution in a Long Circular Cylinder Containing an Elliptical Crack
Author(s) -
Lee DooSung
Publication year - 1997
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19970770909
Subject(s) - cylinder , stress intensity factor , elasticity (physics) , perpendicular , differential equation , mathematical analysis , mathematics , geometry , mechanics , materials science , fracture mechanics , physics , composite material
This paper deals with the three dimensional analysis of the stress distribution in a long circular cylinder containing an elliptical crack. The surface of the crack is perpendicular to the axis of the cylinder and is subjected to a constant pressure. The equations of the classical theory of elasticity are solved in terms of an unknown function which is then shown to be the solution of an integro‐differential equation. Numerical solution of the integro‐differential equation is obtained. The resultant stress intensity magnification factors for the elliptical crack in the cylinder are presented in graphical forms for various crack aspect ratios and proximity ratios.