Edge stress intensity functions along elliptic and part-elliptic 3D cracks

2021 ◽  
pp. 107477
Author(s):  
Zohar Yosibash ◽  
Yaron Schapira
Keyword(s):  
Stress Intensity ◽  
Edge Stress ◽  
Intensity Functions

scholarly journals Edge Stress Intensity Functions in Polyhedral Domains and their Extraction by a Quasidual Function Method

2005 ◽  
Vol 136 (1-4) ◽  
pp. 37-73 ◽  
Author(s):  
Zohar Yosibash ◽  
Netta Omer ◽  
Martin Costabel ◽  
Monique Dauge
Keyword(s):  
Stress Intensity ◽  
Function Method ◽  
Edge Stress ◽  
Intensity Functions

A Quasi-Dual Function Method for Extracting Edge Stress Intensity Functions

2004 ◽  
Vol 35 (5) ◽  
pp. 1177-1202 ◽  
Author(s):  
Martin Costabel ◽  
Monique Dauge ◽  
Zohar Yosibash
Keyword(s):  
Stress Intensity ◽  
Function Method ◽  
Dual Function ◽  
Edge Stress ◽  
Intensity Functions

scholarly journals Edge stress intensity functions in 3-D anisotropic composites

2008 ◽  
Vol 68 (5) ◽  
pp. 1216-1224 ◽  
Author(s):  
Z YOSIBASH ◽  
N OMER ◽  
M DAUGE
Keyword(s):  
Stress Intensity ◽  
Edge Stress ◽  
Intensity Functions

Relation between Stress Intensity Factor of a Small Edge Interface Crack and Intensity of Free-Edge Stress Singularity of Bonded Dissimilar Materials

2004 ◽  
Vol 261-263 ◽  
pp. 351-356
Author(s):  
Seiji Ioka ◽  
Shiro Kubo
Keyword(s):  
Stress Intensity Factor ◽  
Free Surface ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Edge Crack ◽  
Stress Singularity ◽  
Dissimilar Materials ◽  
Free Edge ◽  
Edge Stress ◽  
The Relationship

When two materials are bonded, the free-edge stress singularity usually develops near the intersection of the interface and the free-surface. Fracture in bonded dissimilar materials may therefore occur from an interface crack which develops at the intersection of interface and free-surface. Free-edge stress singularity is very important in the evaluation of strength of bonded dissimilar materials. In this study, the relationship between the stress intensity factor of a small edge crack on interface of bonded dissimilar materials and the intensity of free-edge stress singularity of bonded dissimilar materials with no crack under external mechanical loading was investigated numerically by using the boundary element method. The relationship was also investigated theoretically by using the principle of superposition. The results of numerical analyses were compared with those of theoretical analyses. It was found that stress intensity factors of small edge crack on interface K1 and K2 were proportional to the intensity of free-edge stress singularity of bonded dissimilar materials Kσ without crack irrespective of the combination of materials. The numerically determined proportional coefficient between K1 and Kσ agreed well with the theoretical one, and was not affected by crack length when proper normalizations were applied. From these results, it is suggested that stress intensity factor of small edge crack on interface can be used as a strength criterion of interface of bonded dissimilar materials.

Singular asymptotic expansion of the elastic solution along an edge around which material properties depend on the angular coordinate

2016 ◽  
Vol 22 (12) ◽  
pp. 2288-2308 ◽  
Author(s):  
Netta Omer ◽  
Zohar Yosibash
Keyword(s):  
Finite Element ◽  
Asymptotic Expansion ◽  
Stress Intensity ◽  
Asymptotic Solution ◽  
Finite Element Methods ◽  
Material Properties ◽  
Three Dimensional ◽  
Angular Coordinate ◽  
Angular Direction ◽  
Intensity Functions

The solution to the elasticity problem in three-dimensional polyhedral domains in the vicinity of an edge around which the material properties depend on the angular angle is addressed. This asymptotic solution involves a family of eigenpairs and their shadows which are being computed by means of p-finite element methods. In particular the examples we give explicitly provide the asymptotic solution for cracks and V-notch edges and explore the eigenvalues as a function of the change in material properties in the angular direction. We demonstrate that the singular exponents may change considerably by changing the material properties variation in the angular direction. These eigenpairs are necessary to allow the extraction of the edge stress intensity functions.

Sign in / Sign up

Export Citation Format

Share Document