scholarly journals Analysis of Singular Stress Fields Along a Singular Line Near the Vertex in 3D Piezoelectric Bonded Joint Using a Conservative Integral In case of two real singularities

2017 ◽  
Author(s):  
CHONLADA LUANGARPA ◽  
HIDEO KOGUCHI
Keyword(s):  
Stress Fields ◽  
Singular Line ◽  
Singular Stress ◽  
Conservative Integral ◽  
Bonded Joint ◽  
Singular Stress Fields ◽  
Real Singularities

Analysis of Singular Stress Fields at 3D Piezoelectric Bonded Joints Using a Conservative Integral

2016 ◽  
Author(s):  
Chonlada Luangarpa ◽  
Hideo Koguchi
Keyword(s):  
Three Dimensional ◽  
Stress Singularity ◽  
Stress Fields ◽  
Bonded Joints ◽  
Singular Stress ◽  
Conservative Integral ◽  
Dimensional Finite Element ◽  
Refined Meshes ◽  
Singular Stress Fields ◽  
Three Dimensional Finite Element

Singular stress fields at a vertex of the interface in three-dimensional piezoelectric bonded joints are analyzed. A conservative integral based on the Betti reciprocal principle is applied for calculating the intensities of singularities. Eigenanalysis formulated using a three-dimensional finite element method (FEM) is used to calculate the order of stress singularity, angular functions of mechanical displacements, stresses, electric displacements and electric potential. A bimaterial bonded joint with three terms of singularities is investigated. In order to study the influence of mesh refinement and integral area on the accuracy of the results, two models with different element sizes and various integral areas are used. The results are compared with those obtained from conventional FEM, in which using extremely refined meshes near the singular point.

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
Sign in / Sign up

Export Citation Format

Share Document