Elastic stresses in bodies with elliptic,parabolic, and tunnel cracks |
| |
Authors: | V S Kirilyuk O I Levchuk |
| |
Institution: | (1) S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv |
| |
Abstract: | The paper gives explicit expressions of the elastic T-stress components T
I, T
II, and T
III for an elliptic crack in an unbounded body under uniform pressure and bending and expressions of all the T-stress components for parabolic and tunnel cracks under uniform loading. These formulas are derived by analyzing the asymptotic
behavior of the stress components near the crack front using special harmonic functions. The dependence of the T-stresses on Poisson’s ratio, semiaxes and parametric angle of the elliptic crack is studied. The expressions of T
I, T
II, and T
III for a penny-shaped crack under arbitrary uniform pressure and bending follow as a special case from the respective expressions
for an elliptic crack
__________
Translated from Prikladnaya Mekhanika, Vol. 43, No. 8, pp. 57–70, August 2007. |
| |
Keywords: | elastic T-stress elliptical crack parabolic crack tunnel crack potential method stress intensity factor SIF |
本文献已被 SpringerLink 等数据库收录! |
|