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Frontiers of Mechanical Engineering

ISSN 2095-0233

ISSN 2095-0241(Online)

CN 11-5984/TH

Postal Subscription Code 80-975

2018 Impact Factor: 0.989

Front. Mech. Eng.    2018, Vol. 13 Issue (3) : 401-410    https://doi.org/10.1007/s11465-017-0457-7
RESEARCH ARTICLE
Analysis on annealing-induced stress of blind-via TSV using FEM
Jie SHAO1, Tielin SHI1, Li DU1, Lei SU2, Xiangning LU3, Guanglan LIAO1()
1. State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan 430074, China
2. School of Mechanical Engineering, Jiangnan University, Wuxi 214122, China
3. School of Mechanical and Electrical Engineering, Jiangsu Normal University, Xuzhou 221116, China
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Abstract

Copper-filled through silicon via (TSV) is a promising material owing to its application in high-density three-dimensional (3D) packaging. However, in TSV manufacturing, thermo-mechanical stress is induced during the annealing process, often causing reliability issues. In this paper, the finite element method is employed to investigate the impacts of via shape and SiO2 liner uniformity on the thermo-mechanical properties of copper-filled blind-via TSV after annealing. Top interface stress analysis on the TSV structure shows that the curvature of via openings releases stress concentration that leads to ~60 MPa decrease of normal stresses, sxx and syy, in copper and ~70 MPa decrease of sxx in silicon. Meanwhile, the vertical interface analysis shows that annealing-induced stress at the SiO2/Si interface depends heavily on SiO2 uniformity. By increasing the thickness of SiO2 linear, the stress at the vertical interface can be significantly reduced. Thus, process optimization to reduce the annealing-induced stress becomes feasible. The results of this study help us gain a better understanding of the thermo-mechanical behavior of the annealed TSV in 3D packaging.

Keywords through silicon via (TSV)      annealing-induced stress      interface stress      plastic deformation      finite element method     
Corresponding Author(s): Guanglan LIAO   
Just Accepted Date: 07 June 2017   Online First Date: 19 July 2017    Issue Date: 11 June 2018
 Cite this article:   
Jie SHAO,Tielin SHI,Li DU, et al. Analysis on annealing-induced stress of blind-via TSV using FEM[J]. Front. Mech. Eng., 2018, 13(3): 401-410.
 URL:  
https://academic.hep.com.cn/fme/EN/10.1007/s11465-017-0457-7
https://academic.hep.com.cn/fme/EN/Y2018/V13/I3/401
Fig.1  Sketch of the quarter-symmetric models. (a) Model A, ideal cylinder via; (b) Model B, via with curvature at the bottom and opening (The SiO2 layer of the two structures is 0.6 mm, and the coordinate system is centered on the copper edge at the symmetry axis); (c) boundary conditions
MaterialElements number in Model A
(ideal cylinder via)
Elements number in Model B
(via with curvature)
Cu10270 prism/6500 hexahedron10330 prism/6500 hexahedron
SiO2790 prism/9400 hexahedron810 prism/9400 hexahedron
Si2370 prism/33400 hexahedron2430 prism/33400 hexahedron
Tab.1  Element numbers of the models with different via shapes
MaterialElastic modulus/GPaShear modulus/GPaPoisson’s ratioCTE/(10−6·K−1)Modeling
Cu110 at 20 °C; 104 at 350 °C0.3017 at 20 °C; 19.3 at 350 °CIsotropic elastic-plastic
SiO271.40.160.52 at 20 °C; 0.68 at 350 °CIsotropic elastic
Si [100]Ex=Ey=170; Ez=131Gyz=Gzx=79.83; Gxy=51.13yz: 0.28; xz: 0.36; xy: 0.0643.1 at 20 °C; 4.4 at 350 °CAnisotropic elastic
Tab.2  Material properties used for FEM
Fig.2  (a) The von Mises stress (unit: MPa); (b) structure deformation
Fig.3  Stress distributions of Models A and B (unit: MPa). (a) sxx normal stress; (b) syy normal stress; (c) szz normal stress
Fig.4  Stresses in TSV structures of Models A and B. (a) Schematic diagram of the top interface and the paths; (b) sxx; (c) syy; (d) szz
Fig.5  Plasticity evolution of (a) the ideal via in Model A and (b) the via with the curvature in Model B, where the plastic areas are indicated in red and the non-plastic regions are yellow; (c) effective plastic strain evolution at specified points. Points PA and PB are the critical points of the via with curvature, and Points PC and PD are those of the ideal via
Fig.6  (a) Sketch of the Cu/SiO2 interface and SiO2/Si interface for the four models with ideal cylinder vias (Models A, C-1, C-2 and C-3), where the interfaces are located on the xz plane. The normal stress components (b) sxx, (c) syy, and (d) szz at the interfaces. The thickness of SiO2 at the top/bottom varies from 0.6 mm/0.6 mm (Model A), 0.75 mm/0.75 mm (Model C-1), 0.8 mm/0.7 mm (Model C-2) to 0.9 mm/0.6 mm (Model C-3), where the thickness of SiO2 in Models A and C-1 is uniform, and the thickness of SiO2 in Models C-2 and C-3 is distributed linearly
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