Torsional Stresses Near the Bonded Interface of a Tube-to-Tube Connected Cylindrically Orthotropic Circular Shaft with Radial Inhomogeneity

2018 ◽  
Vol 137 (1) ◽  
pp. 1-26 ◽  
Author(s):  
Chung-Hao Wang
2020 ◽  
pp. 89-94 ◽  
Author(s):  
Ekaterina V. Lovlya ◽  
Oleg A. Popov

RF inductor power losses of ferrite-free electrode-less low pressure mercury inductively-coupled discharges excited in closed-loop dielectric tube were studied. The modelling was made within the framework of low pressure inductive discharge transformer model for discharge lamps with tubes of 16, 25 and 38 mm inner diam. filled with the mixture of mercury vapour (7.5×10–3 mm Hg) and argon (0.1, 0.3 and 1.0 mm Hg) at RF frequencies of 1, 7; 3.4 and 5.1 MHz and plasma power of (25–500) W. Discharges were excited with the help of the induction coil of 3, 4 and 6 turns placed along the inner perimeter of the closed-loop tube. It was found that the dependence of coil power losses, Pcoil, on the discharge plasma power, Ppl, had the minimum while Pcoil decreased with RF frequency, tube diameter and coil number of turns. The modelling results were found in good qualitative agreement with the experimental data; quantitative discrepancies are believed to be due skin-effect and RF electric field radial inhomogeneity that were not included in discharge modelling.


Author(s):  
Lucas Copeland ◽  
Mukul Saran

Abstract This paper presents a mechanical cross-sectioning approach that produces an image clarity not yet demonstrated in published literature. It demonstrates how a critical sequence of polishing, basic slurry optimization and staining, in conjunction with correct imaging parameters can be used to highlight the growth morphology of the intermetallic compound (IMCs). Utilizing this approach, the paper describes the results of a SEM imaging study of the intermetallic formation and growth at the Cu-Al bond interface during thermal ageing for up to 4000hrs at 150 deg C. The paper uses direct SEM imaging to catalog observations which are used to create an initial model for IMC and void growth at the wire bonded interface. It examines the effect of aluminum splash and concludes that growth of intermetallics at the Cu-Al interface is rapid into the bond-pad aluminum than into the Cu-ball, but the growth thickness uniformity is much higher into the Cu-ball.


2009 ◽  
Vol 13 (9) ◽  
pp. 1073-1082
Author(s):  
Sylvain Chataigner ◽  
Jean-François Caron ◽  
Karim Benzarti ◽  
Marc Quiertant ◽  
Christophe Aubagnac

1996 ◽  
Author(s):  
Michail G. Galushkin ◽  
Vladimir S. Golubev ◽  
V. V. Dembovetsky ◽  
Yuri N. Zavalov ◽  
Valentina Y. Zavalova

Author(s):  
Ah-Young Park ◽  
Satish Chaparala ◽  
Seungbae Park

Through-silicon via (TSV) technology is expected to overcome the limitations of I/O density and helps in enhancing system performance of conventional flip chip packages. One of the challenges for producing reliable TSV packages is the stacking and joining of thin wafers or dies. In the case of the conventional solder interconnections, many reliability issues arise at the interface between solder and copper bump. As an alternative solution, Cu-Cu direct thermo-compression bonding (CuDB) is a possible option to enable three-dimension (3D) package integration. CuDB has several advantages over the solder based micro bump joining, such as reduction in soldering process steps, enabling higher interconnect density, enhanced thermal conductivity and decreased concerns about intermetallic compounds (IMC) formation. Critical issue of CuDB is bonding interface condition. After the bonding process, Cu-Cu direct bonding interface is obtained. However, several researchers have reported small voids at the bonded interface. These defects can act as an initial crack which may lead to eventual fracture of the interface. The fracture could happen due to the thermal expansion coefficient (CTE) mismatch between the substrate and the chip during the postbonding process, board level reflow or thermal cycling with large temperature changes. In this study, a quantitative assessment of the energy release rate has been made at the CuDB interface during temperature change finite element method (FEM). A parametric study is conducted to analyze the impact of the initial crack location and the material properties of surrounding materials. Finally, design recommendations are provided to minimize the probability of interfacial delamination in CuDB.


Author(s):  
István Ecsedi ◽  
Attila Baksa

AbstractThis paper deals with the Saint-Venant torsion of elastic, cylindrically orthotropic bar whose cross section is a sector of a circular ring shaped bar. The cylindrically orthotropic homogeneous elastic wedge-shaped bar strengthened by on its curved boundary surfaces by thin isotropic elastic shells. An analytical method is presented to obtain the Prandtl’s stress function, torsion function, torsional rigidity and shearing stresses. A numerical example illustrates the application of the developed analytical method.


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