Determination and Analysis of the Order of Stress in a Homogeneous Field

Abstract

In a structure the presence of a geometric discontinuity of order or material reduces significantly its lifetime. Indeed, it is at these areas that the stress field is strongly disturbed and can reach very high critical levels resulting a damage process. The analysis of these unique areas can not only achieve an optimal design of the geometry of structures but also can choose materials for various assemblies. This analysis necessarily involves determining the parameters of the asymptotic uniqueness constraints. These parameters are the stress intensity factor, the tensor and standardized the order of singularity. This last parameter that indicates the severity of the singularity. It is directly connected to the geometric aspect, and incompatible materials present in the structure. This study focuses on the identification and analysis of this important parameter in the reliability of structures made of homogeneous materials.