A Numerical Analysis of Singular Stress Fields at the Free Edge of Layered Composites

1986 ◽  
pp. 287-303 ◽  
Author(s):  
L. Anquez
Keyword(s):  
Numerical Analysis ◽  
Free Edge ◽  
Stress Fields ◽  
Layered Composites ◽  
Singular Stress ◽  
Singular Stress Fields

Singular Stress Fields at the Intersection of a Grain Boundary and a Stress-Free Edge in a Columnar Polycrystal

2010 ◽  
Vol 78 (1) ◽  
Author(s):  
E. D. Reedy
Keyword(s):  
Grain Boundary ◽  
Free Edge ◽  
Stress Fields ◽  
Singular Stress ◽  
Element Analysis ◽  
Boundary Orientation ◽  
Crystal Properties ◽  
Isotropic Media ◽  
Singular Stress Field ◽  
Singular Stress Fields

The singular stress field generated at the intersection of a grain boundary and a stress-free edge is investigated for a columnar polycrystal. An idealized, plane strain geometry that embeds four columnar cubic crystals within an effective isotropic media is analyzed. This idealized problem permits a detailed finite element analysis that can resolve the nature of stress singularities. Particular emphasis is placed on characterizing the magnitude of the stress fields and defining the size of the region dominated by the singularity. The effects of crystal and grain boundary orientation combinations and crystal properties are examined.

The detachment of an inclined micro-pillar adhered to a dissimilar substrate

2021 ◽  
pp. 1-22
Author(s):  
Nitish Kumar ◽  
Syed Nizamuddin Khaderi
Keyword(s):  
Stress Intensity ◽  
Axial Load ◽  
Interfacial Crack ◽  
Axial Loading ◽  
Stress Fields ◽  
Singular Stress ◽  
Elastic Mismatch ◽  
Bending Loads ◽  
Singular Stress Fields ◽  
The Moment

Abstract We investigate the mechanics of the detachment of an inclined micro-pillar adhered to a dissimilar substrate when subjected to a combination of an axial load and end moment. When the micro-pillar has adhered to the substrate, singular stress fields exist at the bi-material corners. The order of singularity is estimated using asymptotic analysis. The first two terms in the asymptotic expansion lead to singular stress fields. The magnitude of the singularity is evaluated in terms of the elastic mismatch between the pillar and substrate and the micro-pillar inclination. The asymptotic stress due to the moment loading is more sensitive to the micro-pillar inclination when compared to that due to the axial loading. They are insensitive to the micro-pillar inclination when the micro-pillar is rigid when compared to the substrate. A short interfacial crack is further assumed to exist at the bi-material corner. This crack is embedded in the corner singularity region and is loaded by the singular fields due to axial and bending loads. A boundary layer analysis is performed on the singular zone to estimate the stress intensity factor when a short crack embedded in it is subjected to the singular fields. The stress intensity factors are also calculated for a long interfacial crack at the bi-material corner, which extends beyond the singular zone. Using the above results, we investigate the detachment of the inclined micro-pillar under the combination of an axial load and end moment.

scholarly journals Intensity of Singular Stress Fields of an Embedded Fiber under Pull-Out Force

2018 ◽  
Vol 67 (12) ◽  
pp. 1073-1079 ◽  
Author(s):  
Nao-Aki NODA ◽  
Dong CHEN ◽  
Rei TAKAKI ◽  
Akane INOUE ◽  
Guowei ZHANG ◽  
...  
Keyword(s):  
Stress Fields ◽  
Singular Stress ◽  
Pull Out ◽  
Singular Stress Fields

Application of Stress Intensity to Design of Bi-Materials with a Wedge

2011 ◽  
Vol 413 ◽  
pp. 223-228
Author(s):  
Xue Cheng Ping ◽  
Xing Li ◽  
Xiao Xiang Xu
Keyword(s):  
Failure Criterion ◽  
Mechanical Load ◽  
Stress Component ◽  
Lap Joints ◽  
Stress Fields ◽  
Aviation Industry ◽  
Displacement Fields ◽  
Singular Stress ◽  
Glass Fiber Reinforced ◽  
Singular Stress Fields

Failure in anisotropic/isotropic bi-materials starts at the interface, and the interfacial failure is of interest to some engineering fields such as automobile and aviation industry. Many researchers have done a lot of research on this field, but many did not consider a specific stress component near the interface corner tip as a parameter of a failure criterion. Kun Cheol Shin, introducted a failure criterion for anisotropic/isotropic bi-materials problem with a wedge. But the process of obtaining the singular stress fields of anisotropic/isotropic bi-materials is complex. To solve this problem, we have taken a new method which is from Xuecheng-Ping and M.-C. Chen.The method is new, which is based on displacement and more easily in calculating the stress and displacement fields surrounding a wedge tip than before. Through this method, we establish a criterion base on the-plan. The failure criterion can be used not only to predict stress intensities of co-cured double lap joints that with thermal and mechanical load, but also to predict stress intensities of co-cured double lap joints that with different materials or lap length. And we describe the process of calculating singular stress fields and stress intensities of co-cured double lap joints with a wedge that consists of glass fiber reinforced composites and steel adherends.

Singular stress fields in cellular cores for structural sandwich panels

2001 ◽  
Vol 53 (1) ◽  
pp. 9-19 ◽  
Author(s):  
Jörg Hohe ◽  
Wilfried Becker ◽  
Sanjib Goswami
Keyword(s):  
Sandwich Panels ◽  
Stress Fields ◽  
Singular Stress ◽  
Singular Stress Fields
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