Copper-CNT Hybrid TSVs: Thermo-Mechanical Stresses and Reliability Analysis

2015 ◽  
Vol 24 (03n04) ◽  
pp. 1550006 ◽  
Author(s):  
Leila Ladani

Through silicon vias (TSVs) play a critical role in today’s microelectronic technology as they enable fabrication of three-dimensional integrated circuits. Traditionally, copper has been used to fill TSVs. However, copper is prone to electro-migration and as the size of TSVs become smaller, copper resistance increases significantly, thereby reducing its potential for TSV material at nanoscales. A proposed hybrid structure is presented here in which Carbon Nanotube (CNT) bundles are grown vertically inside TSVs and encased with copper. The CNT bundles assists with increasing the strength of the hybrid structure and is likely to enhance the reliability of the package. Thermo-mechanical stress analysis and reliability evaluations is conducted to determine the effect of CNT bundles on stress distribution in the package and their impact on reliability of other critical components such as solder bumps that are used to join the silicon layers. The finite element analysis shows that addition of CNT material to the structure, even in small volume ratios tend to redistribute the stress and refocus it to inside the CNT material rather than interfaces. Interface stresses in low strength material typically cause delamination and failure in the package. Redistribution of stress is likely to enhance the reliability of the TSVs. Additional reliability analysis of the solder joints, shows that CNT additions enhances the number of cycles to failure four times. It is hypothesized that addition of CNTs decreases the local CTE mismatch between the silicon layers and assists in reducing the stress in solder bumps. This hypothesis is proven using finite element simulations.

2011 ◽  
Vol 374-377 ◽  
pp. 1916-1919
Author(s):  
Jian Xiao Zheng ◽  
Bin Li ◽  
Si Cong Yuan

The overall three-dimensional parametric model of the crankshaft has been completed based on the ANSYS Parametric Design Language (APDL) from the software of ANSYS and by combing the structure analysis capability with the statistical analysis capability of its PDS module, the reliability analysis of Monte Carlo finite element method (FEM) will be achieved according to the finite element analysis technology and the reliability basic principles. The 4110 diesel engine crankshaft was taken as an example, the parametric design will be introduced into the finite element structure analysis to implement the rapid adjustment of the structure parameter, produce the anatomic model automatically and complete the process of the structural analysis and reliability analysis. The process that the reliability analysis of the crankshaft has been realized will be described in detail. According to the results of probability analysis, the sensitivity relation between the design variable and the object variable will be obtained and at the same time the maximum stress probability distribution function of these dangerous parts and the main affective factor for object variable will be given, which will offer the useful data for the structure reliability optimization design.


Author(s):  
Nurullah Türker ◽  
Hümeyra Tercanlı Alkış ◽  
Steven J Sadowsky ◽  
Ulviye Şebnem Büyükkaplan

An ideal occlusal scheme plays an important role in a good prognosis of All-on-Four applications, as it does for other implant therapies, due to the potential impact of occlusal loads on implant prosthetic components. The aim of the present three-dimensional (3D) finite element analysis (FEA) study was to investigate the stresses on abutments, screws and prostheses that are generated by occlusal loads via different occlusal schemes in the All-on-Four concept. Three-dimensional models of the maxilla, mandible, implants, implant substructures and prostheses were designed according to the All-on-Four concept. Forces were applied from the occlusal contact points formed in maximum intercuspation and eccentric movements in canine guidance occlusion (CGO), group function occlusion (GFO) and lingualized occlusion (LO). The von Mises stress values for abutment and screws and deformation values for prostheses were obtained and results were evaluated comparatively. It was observed that the stresses on screws and abutments were more evenly distributed in GFO. Maximum deformation values for prosthesis were observed in the CFO model for lateral movement both in the maxilla and mandible. Within the limits of the present study, GFO may be suggested to reduce stresses on screws, abutments and prostheses in the All-on-Four concept.


1990 ◽  
Vol 18 (4) ◽  
pp. 216-235 ◽  
Author(s):  
J. De Eskinazi ◽  
K. Ishihara ◽  
H. Volk ◽  
T. C. Warholic

Abstract The paper describes the intention of the authors to determine whether it is possible to predict relative belt edge endurance for radial passenger car tires using the finite element method. Three groups of tires with different belt edge configurations were tested on a fleet test in an attempt to validate predictions from the finite element results. A two-dimensional, axisymmetric finite element analysis was first used to determine if the results from such an analysis, with emphasis on the shear deformations between the belts, could be used to predict a relative ranking for belt edge endurance. It is shown that such an analysis can lead to erroneous conclusions. A three-dimensional analysis in which tires are modeled under free rotation and static vertical loading was performed next. This approach resulted in an improvement in the quality of the correlations. The differences in the predicted values of various stress analysis parameters for the three belt edge configurations are studied and their implication on predicting belt edge endurance is discussed.


1996 ◽  
Vol 24 (4) ◽  
pp. 339-348 ◽  
Author(s):  
R. M. V. Pidaparti

Abstract A three-dimensional (3D) beam finite element model was developed to investigate the torsional stiffness of a twisted steel-reinforced cord-rubber belt structure. The present 3D beam element takes into account the coupled extension, bending, and twisting deformations characteristic of the complex behavior of cord-rubber composite structures. The extension-twisting coupling due to the twisted nature of the cords was also considered in the finite element model. The results of torsional stiffness obtained from the finite element analysis for twisted cords and the two-ply steel cord-rubber belt structure are compared to the experimental data and other alternate solutions available in the literature. The effects of cord orientation, anisotropy, and rubber core surrounding the twisted cords on the torsional stiffness properties are presented and discussed.


2013 ◽  
Vol 41 (1) ◽  
pp. 60-79 ◽  
Author(s):  
Wei Yintao ◽  
Luo Yiwen ◽  
Miao Yiming ◽  
Chai Delong ◽  
Feng Xijin

ABSTRACT: This article focuses on steel cord deformation and force investigation within heavy-duty radial tires. Typical bending deformation and tension force distributions of steel reinforcement within a truck bus radial (TBR) tire have been obtained, and they provide useful input for the local scale modeling of the steel cord. The three-dimensional carpet plots of the cord force distribution within a TBR tire are presented. The carcass-bending curvature is derived from the deformation of the carcass center line. A high-efficiency modeling approach for layered multistrand cord structures has been developed that uses cord design variables such as lay angle, lay length, and radius of the strand center line as input. Several types of steel cord have been modeled using the developed method as an example. The pure tension for two cords and the combined tension bending under various loading conditions relevant to tire deformation have been simulated by a finite element analysis (FEA). Good agreement has been found between experimental and FEA-determined tension force-displacement curves, and the characteristic structural and plastic deformation phases have been revealed by the FE simulation. Furthermore, some interesting local stress and deformation patterns under combined tension and bending are found that have not been previously reported. In addition, an experimental cord force measurement approach is included in this article.


2007 ◽  
Vol 35 (3) ◽  
pp. 226-238 ◽  
Author(s):  
K. M. Jeong ◽  
K. W. Kim ◽  
H. G. Beom ◽  
J. U. Park

Abstract The effects of variations in stiffness and geometry on the nonuniformity of tires are investigated by using the finite element analysis. In order to evaluate tire uniformity, a three-dimensional finite element model of the tire with imperfections is developed. This paper considers how imperfections, such as variations in stiffness or geometry and run-out, contribute to detrimental effects on tire nonuniformity. It is found that the radial force variation of a tire with imperfections depends strongly on the geometrical variations of the tire.


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