scholarly journals A Numerical and Theoretical Study on Relationship between Stress Intensity Factor of a Small Edge Crack on Interface and Free-Edge Stress Singularity of Bonded Dissimilar Materials.

2002 ◽  
Vol 51 (12) ◽  
pp. 1373-1379 ◽  
Author(s):  
Seiji IOKA ◽  
Takashi MATSUDA ◽  
Shiro KUBO
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Edge Crack ◽  
Theoretical Study ◽  
Stress Singularity ◽  
Dissimilar Materials ◽  
Free Edge ◽  
Edge Stress

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.

Free-Edge Stress Intensity Factor for a Bonded Ductile Layer Subjected to Shear

1993 ◽  
Vol 60 (3) ◽  
pp. 715-720 ◽  
Author(s):  
E. D. Reedy
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Stress Singularity ◽  
Free Edge ◽  
Shear Loading ◽  
Plastic Layer ◽  
Element Analysis ◽  
Edge Stress ◽  
Ductile Layer

The stress state found in a thin, power-law hardening ductile layer bonded between a pair of rigid adherends and subjected to a shear loading is investigated. Within the context of a work-hardening plasticity theory, a stress singularity of type Krδ (δ < 0) exists at the point where the interface between one of the rigid adherends and the ductile layer intersects the stress-free edge. The intensity of this singularity (i.e., K) has been calculated for a plane strain condition using a technique that combines results of an asymptotic analysis of the stress singularity with those of a detailed finite element analysis. A dead-soft aluminum layer is considered first with emphasis placed on an assessment of the region dominated by the plastic stress singularity. Results for a fully plastic layer with negligible elastic strains are presented next. The relation defining the fully plastic, free-edge stress intensity factor for a shear loading depends only on a characteristic shear stress, layer thickness, and the layer’s hardening exponent.

Analysis of Edge Crack of Thin Strip during Cold Rolling

2010 ◽  
Vol 654-656 ◽  
pp. 222-225
Author(s):  
Hai Bo Xie ◽  
Zheng Yi Jiang ◽  
Dong Bin Wei ◽  
A. Kiet Tieu
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Cold Rolling ◽  
Crack Growth ◽  
Edge Crack ◽  
Free Edge ◽  
Thin Strip ◽  
Stress Intensity Factor Range ◽  
Strip Rolling

Cracks in metal product significantly decrease quality and productivity of the rolled thin strip. In this paper the stress intensity factor (SIF) solution of edge crack defect of thin strip during cold rolling was investigated, and a globe analysis was applied to the problem of free edge of thin strip. The effective stress intensity factor range is important because it represents the major physical cause of crack growth. The present study provides insights of the mechanics of edge crack growth that has been frequently observed during thin strip rolling. The efficiency and reliability of the SIF analytical modelling has been demonstrated. The proposed method for predicting edge crack is useful for producing defect-free products in rolling, and provides insights of the mechanism of edge crack growth.

STRESS INTENSITY FACTOR ANALYSIS OF AN EDGE CRACK PERPENDICULAR TO THE INTERFACE IN BI-MATERIALS

2019 ◽  
Vol 6 (1) ◽  
Author(s):  
Yongkang Hou ◽  
Shuo Zhang ◽  
Shujin Duan ◽  
Ruimei An
Keyword(s):  
Stress Intensity Factor ◽  
Finite Element ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Edge Crack ◽  
Stress Singularity ◽  
Crack Tip ◽  
Singular Element ◽  
Singular Finite Element ◽  
Element Method

The purpose of this paper is to investigate the stress intensity factor in the problem of a crack perpendicular to the interface in bi-materials. Based on the theory of an edge crack perpendicular to the interface between two dissimilar isotropic half-planes, the stress intensity factor was yield out from the stress singularity eigen-equation. The stress intensity factor for a composite beam segment with an edge crack under bending and tension was computed by the ordinary finite element and the singular finite element, and it was found that the singular element method is more accurate and applicable than the ordinary element method. The influence of the distance from the crack tip to the interface and the material’s mechanical properties to the stress intensity factor were analyzed. The results show that the stress intensity factor increases first, and then decreases with decreasing of the distance from the crack tip to the interface, and the stress intensity factor increases with increasing of the elastic modulus of the cracked material.

Edge Crack in an Elastic Strip on a Liquid Foundation

1989 ◽  
Vol 33 (03) ◽  
pp. 214-220
Author(s):  
Paul C. Xirouchakis ◽  
George N. Makrakis
Keyword(s):  
Stress Intensity Factor ◽  
Integral Equation ◽  
Fourier Transform ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Edge Crack ◽  
Applied Pressure ◽  
Theory Of Elasticity ◽  
Elastic Strip ◽  
Pressure Loading

The behavior of a long elastic strip with an edge crack resting on a liquid foundation is investigated. The faces of the crack are opened by an applied pressure loading. The deformation of the strip is considered within the framework of the linear theory of elasticity assuming plane-stress conditions. Fourier transform techniques are employed to obtain integral expressions for the stresses and displacements. The boundary-value problem is reduced to the solution of a Fredholm integral equation of the second kind. For the particular case of linear pressure loading, the stress-intensity factor is calculated and its dependence is shown on the depth of the crack relative to the thickness of the strip. Application of the present results to the problem of flexure of floating ice strips is discussed.

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