Abstract
There is an obvious incentive for using bow-free (temperature change insensitive) assemblies in various areas of engineering, including electron device and electronic packaging fields. The induced stresses in a bow-free assembly could be, however, rather high, considerably higher than in an assembly, whose bow is not restricted. The simplest and trivial case of a bow-free assembly is a tri-component body, in which the inner component is sandwiched between two identical outer components (“mirror” structure), is addressed in our analysis, and a simple and physically meaningful analytical stress model is suggested. It is concluded that if acceptable stresses (below yield stress of the solder material) are achievable, a mirror (bow-free, temperature-change-insensitive) design should be preferred, because it results in an operationally stable performance of the system.
Similar content being viewed by others
References
R.R. Tummala (ed.), Fundamentals of Microsystems Packaging (McGraw-Hill, New York, 2001)
S.P. Timoshenko, Analysis of bi-metal thermostats. J. Opt. Soc. Am. 11 (1925)
B.J. Aleck, Thermal stresses in a rectangular plate clamped along an edge. ASME J. Appl. Mech. 16 (1949)
S. Strinivas, Analysis of Bonded Joints. NASA Technical Note D-7855 (1975)
K. Roll, Analysis of stress and strain distribution in thin films and substrates. J. Appl. Phys. 47(7) (1976)
F.-V. Chang, Thermal contact stresses of bi-metal strip thermostat. Appl. Math. Mech. 4(3) (1983)
E. Suhir, Stresses in bi-metal thermostats. ASME J. Appl. Mech. 53(3) (1986)
E. Suhir, Interfacial stresses in bi-metal thermostats. ASME J. Appl. Mech. 56(3) (1989)
G.A. Lang et al., Thermal fatigue in silicon power devices. IEEE Trans. Electron. Dev. 17 (1970)
R. Zeyfang, Stresses and strains in a plate bonded to a substrate: semiconductor devices. Solid State Electron. 14 (1971)
J.H. Lau (ed.), Thermal Stress and Strain in Microelectronics Packaging (Van-Nostrand Reinhold, New York, 1993)
E. Suhir, Analysis of interfacial thermal stresses in a tri-material assembly. J. Appl. Phys. 89(7) (2001)
J.H. Lau, S.W. Lee (eds.), Chip Scale Packages: Design, Materials, Processes, Reliability, and Applications (McGraw-Hill, New York, 1999)
E. Suhir, A. Shakouri, Assembly bonded at the ends: could thinner and longer legs result in a lower thermal stress in a thermoelectric module (TEM) design? ASME J. Appl. Mech. 79(6) (2012)
E. Suhir, Thermal stress failures in electronics and photonics: physics, modeling, prevention. J. Therm. Stress. (2013)
E. Suhir, D. Shangguan, L. Bechou, Predicted thermal stresses in a tri-material assembly with application to silicon-based photovoltaic module. ASME J. Appl. Mech. 80 (2013)
E. Suhir, Thermal stress in through-silicon-vias: theory-of-elasticity approach. Microelectron. Reliab. 54 (2014)
E. Suhir, S. Kang, J. Nicolics, C. Gu, A. Bensoussan, L. Bechou, Analytical stress model for the evaluation of thermal stresses in a cylindrical tri-material body with application to optical fibers. J. Electr. Control Eng. 3(5) (2013)
E. Suhir, J. Weld, Electronic package with reduced bending stress. US Patent #5,627,407 (1997)
E. Suhir, Arrangement for reducing bending stress in an electronic package. US Patent #6,810,241 (2001)
E. Suhir, Device and method of controlling the bowing of a soldered or adhesively bonded assembly. US Patent #6,239,382 (2001)
E. Suhir, Bow free adhesively bonded assemblies: predicted stresses. Electrotech. Informationtech. 120(6) (2003)
E. Suhir, L. Bechou, B. Levrier, D. Calvez, Assessment of the size of the inelastic zone in a BGA assembly. 2013 IEEE Aerospace Conference, Big Sky, Montana, March 2013
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Suhir, E., Ghaffarian, R. & Nicolics, J. Predicted stresses in ball-grid-array (BGA) and column-grid-array (CGA) interconnections in a mirror-like package design. J Mater Sci: Mater Electron 27, 2430–2441 (2016). https://doi.org/10.1007/s10854-015-4042-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10854-015-4042-8