Evaluation of Intensity of Singularity at 3D Piezoelectric Bonded Joints Using a Conservative Integral

Author(s):  
Chonlada Luangarpa ◽  
Hideo Koguchi

In the present study, a conservative integral based on the Betti reciprocal principle is formulated in order to obtain the intensity of singularity at a vertex of the interface in three-dimensional piezoelectric bi-material bonded joints. To our knowledge, there are few studies on the determination of the intensity of singularity in the three-dimensional piezoelectric bonded joints. In addition, no study on the determination of the intensity of singularity in the 3D piezoelectric bonded joints using the conservative integral has been conducted. Eigenanalysis formulated using a three-dimensional finite element method (FEM) is used to calculate the order of stress singularity, angular variables of mechanical displacements, stresses, electric displacements and electric potential. In order to investigate the influence of an integral area on the accuracy of the results, models with various integral areas are used. The results are compared with those obtained from FEM.

Author(s):  
Chonlada Luangarpa ◽  
Hideo Koguchi

In the present study, a conservative integral based on the Betti reciprocal principle is extended for calculating the intensities of singularities at a vertex of the interface in three-dimensional piezoelectric bonded joints. Eigenanalysis formulated using a three-dimensional finite element method (FEM) is used to calculate the order of stress singularity, angular variables of mechanical displacements, stresses, electric displacements and electric potential. A model with applied both mechanical and electrical loading conditions are considered. In order to investigate the influence of mesh refinement and integral area on the accuracy of the results, models with various element sizes and integral areas are used. The results are compared with those obtained from conventional FEM, in which using extremely refined meshes near the singular point.


Author(s):  
Chonlada Luangarpa ◽  
Hideo Koguchi

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.


2011 ◽  
Vol 486 ◽  
pp. 5-8 ◽  
Author(s):  
Mohsen Loh-Mousavi ◽  
Amir Masoud Mirhosseini ◽  
Ghasem Amirian

In recent years, tube hydroforming has been applied in automobile and airplane industries, to decrease weight. In general, the determination of internal pressure path is a key factor in improving the formability in tube hydroforming. One of the effective methods in improving the tube hydroforming is using the pulsating internal pressure path. In this research, hydroforming of bi-layered tubes under pulsating pressure in x-shaped die is simulated by means of three dimensional finite element method. Some numerical results were compared with experimental results and show good correlation. Influence of pulsating pressure on the thickness and stress distribution have been also studied. It was shown that pulsating pressure improves the formability in hydroforming of bi-layered tubes via continues and gradual removing returnable wrinkling which is caused by a low pressure in this process. In addition, effect of some key parameters such as friction and die corner filling have been investigated.


2013 ◽  
Vol 387 ◽  
pp. 159-163
Author(s):  
Yi Chern Hsieh ◽  
Minh Hai Doan ◽  
Chen Tai Chang

We present the analyses of dynamics behaviors on a stroller wheel by three dimensional finite element method. The vibration of the wheel system causes by two different type barriers on the road as an experiment design to mimic the real road conditions. In addition to experiment analysis, we use two different packages to numerically simulate the wheel system dynamics activities. Some of the simulation results have good agreement with the experimental data in this research. Other interesting data will be measured and analyzed by us for future study and we will investigate them by using adaptive finite element method for increasing the precision of the computation results.


2001 ◽  
Author(s):  
Florin Ilinca ◽  
Jean-François Hétu

Abstract This paper presents simulations of co-injection molding problems computed by a three-dimensional finite element method. The polymer melts behave as generalized Newtonian fluids and non-isothermal effects are taken into account. In addition to the momentum, mass and energy equations, we solve two transport equations tracking the polymer/air and skin/core polymers interfaces. Solutions are shown for a center gated rectangular plate. The effect of varying the melt/mold temperature and the ratio between the skin and core materials is investigated. The solution obtained for the same skin and core materials is compared with those in which viscosities of core and skin materials are different. Finally, the solution for the co-injection of a C-shaped plate is presented.


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