Reliability Implications of Thermo-Mechanically and Electrically Induced Interfacial Sliding of Through-Silicon Vias in 3D Packages

Author(s):  
Lutz Meinshausen ◽  
Ming Liu ◽  
Tae-Kyu Lee ◽  
Indranath Dutta ◽  
Li Li

In conjunction with micro bumps, Through-Silicon-Vias (TSVs) are used for die stacking, leading to reduced footprints and a higher performance due to shorter communication bus-length. However the large difference between the thermal expansion of silicon and copper and an increased temperature of the die stack due to Joule heating lead to shear stress at the interface between TSV and substrate. Temperature activated interfacial diffusion in combination with the shear stress leads to diffusional interfacial sliding, resulting in TSV pro- or intrusion. In addition, electromigration (EM) at the interface leads to TSV motion. Against this background the protrusion/intrusion of Cu TSVs (ø 10 μm, length 100 μm) during fast and slow rate thermal cycling (TC) and during EM experiments was investigated. Parallel to the experimental investigation a finite element analysis (FEA) was performed to study the micro-mechanical responses of Cu-filled TSV during thermal cycling. For this purpose interfacial sliding was incorporated into the FE model by diffusional creep mechanism. The FE model captures the main features being observed in experiments such as stress hysteresis and intrusion/protrusion of the TSV relative to Si substrate.

2013 ◽  
Vol 859 ◽  
pp. 105-108
Author(s):  
Xiong Zhao ◽  
Xu Kuan Li ◽  
Qing Xin Ren ◽  
Tai Cheng ◽  
Xiao Lian Long

This paper reports a finite element analysis of the flexural behaviour of concrete-filled steel tubular members with elliptical section. A set of test data were used to verify the FE modeling. generally, good agreement was achieved. Typical curves of moment (M) versus deflection at mid-span (um), as well as stress distributions of steel tube and concrete of the composite members were compared and discussed. The results clearly show that the FE model is available for predicting the load-bearing capacities and the failure modes of the specimens.


2014 ◽  
Vol 115 (24) ◽  
pp. 243509 ◽  
Author(s):  
Chukwudi Okoro ◽  
Lyle E. Levine ◽  
Ruqing Xu ◽  
Klaus Hummler ◽  
Yaw Obeng

2011 ◽  
Vol 199-200 ◽  
pp. 1920-1923
Author(s):  
Wu Gui Jiang ◽  
Cheng Xu ◽  
Jian Fei Yu ◽  
Jian Shan Wang

Through-Silicon Vias (TSVs) technology, which is widely used in three-dimensional (3D) Microsystems packaging, has been investigated by using a strain gradient finite element method (FEM). A thermomechanical strain gradient constitutive law was embedded into the commercial software ABAQUS to consider the size dependence of thermal stresses in TSVs. Our numerical results show that when both thicknesses of SiO2 dielectric layer and Si substrate are kept to a constant, for a given via depth/radius ratio, the Mises stress decreases with the decrease in the radius above 100 nm, and then it increases markedly with the further decrease in the via radius below 100 nm, which is not consistent with the results obtained by the conventional FEM. It is also shown that as the whole size of the TSV structures is scaled down proportionally, for a given via depth/radius ratio, the peak Mises stresses are almost size scale- independent above 100 nm and exhibit a strong size scale effect below 100 nm.


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