Analysis of singular stress fields at 3D Piezoelectric bonded joints under electrical load using a conservative integral

2016 ◽  
Vol 2016 (0) ◽  
pp. OS07-02
Author(s):  
Chonlada LUANGARPA ◽  
Hideo KOGUCHI
Keyword(s):  
Stress Fields ◽  
Bonded Joints ◽  
Electrical Load ◽  
Singular Stress ◽  
Conservative Integral ◽  
Singular Stress Fields

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

A two-term stress function approach to evaluate stress distributions in bonded joints of different geometries

2002 ◽  
Vol 37 (5) ◽  
pp. 385-398 ◽  
Author(s):  
P Lazzarin ◽  
M Quaresimin ◽  
P Ferro
Keyword(s):  
Elastic Properties ◽  
Stress Function ◽  
Function Approach ◽  
Design Parameters ◽  
Bonded Joints ◽  
Stress Distributions ◽  
Singular Stress ◽  
Generalized Stress Intensity Factors ◽  
Singular Stress Field ◽  
Singular Stress Fields

The paper presents a method for the evaluation of the singular stress fields in bonded joints of different geometries. The stress distributions are represented by a two-term stress expansion, under the hypothesis that both the first and the second terms are in the variable separable form. The method is based on the stress function approach, where the formulation is completed analytically and the resulting set of ordinary differential equations is solved numerically. The capability of the formulation to account for the actual elastic properties of the substrates allows an accurate description of the singular stress field to be obtained even in the case of joints made of materials with comparable elastic properties. The influence of adhesive joint design parameters such as the type of joint, geometry and material properties on the generalized stress intensity factors will also be presented and discussed.

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