Stress analysis of quasi-orthotropic elastic plane

Abstract

The quasi-orthotropic elastic plane in which the characteristic roots of the fundamental differential equation for the orthotropic elastic plane are doubled is investigated. For the associated stress analysis, a rational mapping function is used and a closed-form solution is obtained. Therefore, the stress analysis is rigorous for the rational mapping function. The stress functions can be obtained without any integration. As a demonstration of the stress analysis, a half plane with an oblique edge crack is analyzed. Stress distributions and stress intensity factors are investigated. The relationships between the quasi-orthotropic elastic plane and isotropic plane with respect to the stress intensity factor are investigated. It is also determined that the stress intensity factors for the quasi-orthotropic elastic plane can be calculated from those of the isotropic elastic plane using a similar configuration and loading condition.