Abstract
A simple, easy-to-use and physically meaningful predictive model is suggested for the assessment of the thermal stresses in a ball-grid-array (BGA) or a column-grid-array (CGA) system with an epoxy adhesive at the peripheral portions of the assembly. It is shown that the application of such a design can lead to a considerable relief in the interfacial stress. The paper is a continuation and an extension of the recently published paper, in which a low modulus solder was considered for the peripheral portions of the assembly. The important difference is that while the soldering temperature has been assumed to be the same for the solder material throughout the assembly, the peripheral epoxy adhesive is applied at an appreciably lower (curing) temperature than the solder at the assembly’s mid-portion. The numerical example has indicated that the application of the CGA technology enables one to achieve a 19.25 % stress relief in the case of an epoxy adhesive, while a 34.11 % stress relief could be expected in the case of a low modulus solder at the assembly ends. When a BGA technology is considered, the application of an epoxy or a low modulus solder at the peripheral portions of the assembly leads to the stress relief of about 14.42 % in the case of an epoxy and of about 12.80 % in the case of a low modulus solder. When CGA technology is used, the application of an epoxy at the peripheral portions of the assembly leads to about 8.70 % stress relief, while the application of a low modulus solder results in about 24.10 % relief. It is concluded that, with the yield stress in shear of 1.85 kgf/mm2 for the solder in the assembly’s mid-portion and 1.35 kgf/mm2—for the peripheral solder material, the application of the CGA technology in combination with an epoxy adhesive or a low modulus solder at the assembly ends might enable one to avoid inelastic strains in the solder, thereby increasing dramatically its fatigue lifetime, just because the low-cycle fatigue situation will be replaced in such a case with the elastic fatigue condition.
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References
J.R. Martin, R.A. Anderson, Compliant diaphragm material. US Patent #4,837,068 (1989)
Z. Kovac et al., Compliant interface for semiconductor chip and method therefor. US Patent #6,133,639 (2000)
E. Suhir, Electronic assembly having improved resistance to delamination. US Patent #6,028,772 (2000)
E. Suhir, Device and method of controlling the bowing of a soldered or adhesively bonded assembly. US Patent #6,239,382 (2001)
T.H. Di Stefano et al., Compliant microelectronic mounting device. US Patent #6,370,032 (2002)
E. Suhir, Bi-material assembly adhesively bonded at the ends and fabrication method. US Patent #6,460,753 (2002)
E. Suhir, Coated optical glass fiber. US Patent #6,647,195 (2003)
Z. Kovac et al., Methods for making electronic assemblies including compliant interfaces. US Patent #6,525,429 (2003)
E.C. Paterson et al., Mechanical highly compliant thermal interface pad. US Patent #6,910,271 (2005)
Z. Kovac et al., Methods of making microelectronic assemblies including compliant interfaces. US Patent #6,870,272 (2005)
R. Zeyfang, Stresses and strains in a plate bonded to a substrate: semiconductor devices. Solid State Electron. 14, 1035–1039 (1971)
D. Chen, S.T. Cheng, T.D. Gerhardt, Thermal stresses in laminated beams. J. Therm. Stress. 5, 67–84 (1982)
F.-V. Chang, Thermal contact stresses of Bi-metal strip thermostat. Appl. Math. Mech. 4(3), 363–376 (1983)
J. Padovan, Anisotropic thermal stress analysis. Therm. Stress. I 1, 143–262 (1986)
E. Suhir, Calculated thermally induced stresses in adhesively bonded and soldered assemblies, in Proceedings of the International Symposium on Microelectronics, ISHM, Atlanta (1986)
E. Suhir, Stresses in bi-metal thermostats. ASME J. Appl. Mech. 53(3), 657–660 (1986)
E. Suhir, Die attachment design and its influence on the thermally induced stresses in the die and the attachment, in Proceedings of the 37th Electrical and Computer Conference, IEEE, Boston, (1987), pp. 508–517
E. Suhir, An approximate analysis of stresses in multilayer elastic thin films. ASME J. Appl. Mech. 55(3), 143–148 (1988)
A. Kuo, Thermal stresses at the edge of a bimetallic thermostat. ASME J. Appl. Mech. 56, 585–589 (1989)
E. Suhir, Interfacial stresses in bi-metal thermostats. ASME J. Appl. Mech. 56(3), 595–600 (1989)
E. Suhir, Axisymmetric elastic deformations of a finite circular cylinder with application to low temperature strains and stresses in solder joints. ASME J. Appl. Mech. 56(2), 328–333 (1989)
E. Suhir, B. Poborets, Solder glass attachment in cerdip/cerquad packages: thermally induced stresses and mechanical reliability, in Electronic Components and Technology Conference, 40th, IEEE, (1990), pp. 1043–1052
J.W. Eischen, C. Chung, J.H. Kim, Realistic modeling of the edge effect stresses in bimaterial elements. ASME J. Electron. Packag. 112(1), 16–23 (1990)
P.M. Hall et al., Strains in aluminum-adhesive-ceramic tri-layers. ASME J. Electron. Packag. 112(4), 288–302 (1990)
A.Y. Kuo, Thermal stress at the edge of a bi-metallic thermostat. ASME J. Appl. Mech. 56(3), 585–589 (1989)
C.A. Klein, Thermal stress modeling for diamond-coated optical windows, in 22nd Annual Boulder Damage Symposium, Boulder, (1990), pp. 488–509
J.T. Gillanders, R.A. Riddle, R.D. Streit, I. Finnie, Methods for determining the mode I and mode II fracture toughness of glass using thermal stresses. ASME J. Eng. Mater. Technol. 112, 151–156 (1990)
A.O. Cifuentes, Elastoplastic analysis of bi-material beams subjected to thermal loads. ASME J. Electron. Packag. 113(4), 355–358 (1991)
H.S. Morgan, Thermal stresses in layered electrical assemblies bonded with solder. ASME J. Electron. Packag. 113(4), 350–354 (1991)
T. Hatsuda, H. Doi, T. Hayasida, Thermal strains in flip-chip joints of die-bonded chip packages, in Proceedings of the EPS Conference, San-Diego (1991)
E. Suhir, Mechanical behavior and reliability of solder joint interconnections in thermally matched assemblies, in Proceedings of the 42nd Electronic Components and Technology Conference, IEEE, San-Diego, (1992), pp. 563–572
J.H. Lau (ed.), Thermal stress and strain in microelectronics packaging (Van-Nostrand Reinhold, New York, 1993)
V. Mishkevich, E. Suhir, Simplified approach to the evaluation of thermally induced stresses in bi-material structures, in Structural analysis in microelectronics and fiber optics, ed. by E. Suhir (ASME Press, New York, 1993), pp. 563–572
E. Suhir, Approximate evaluation of the elastic thermal stresses in a thin film fabricated on a very thick circular substrate. ASME J. Electron. Packag. 116(3), 171–176 (1994)
E. Suhir, Approximate evaluation of the interfacial shearing stress in circular double lap shear joints, with application to dual-coated optical fibers. Int. J. Solids Struct. 31(23), 3261–3283 (1994)
K.E. Hokanson, A. Bar-Cohen, Shear-based optimization of adhesive thickness for die bonding. IEEE Trans. Compon. Hybrids Manuf. Technol. 18(3), 578–584 (1995)
E. Suhir, Solder materials and joints in fiber optics: reliability requirements and predicted stresses, in Proceedings of the International Symposium on “Design and Reliability of Solders and Solder Interconnections”, Orlando, (1997), pp. 25–33
E. Suhir, Thermal stress failures in microelectronics and photonics: prediction and prevention. Future Circuits Int. 5, 20 (1999)
E. Suhir, Adhesively bonded assemblies with identical non-deformable adherends: predicted thermal stresses in the adhesive layer. Compos. Interfaces 6(2), 62 (1999)
E. Suhir, Predicted stresses in a circular substrate/thin-film system subjected to the change in temperature. J. Appl. Phys. 88(5), 2363–2370 (2000)
E. Carrera, An assessment of mixed and classical theories for the thermal stress analysis of orthotropic multilayered plates. J. Therm. Stress. 23(9), 97–831 (2000)
Y. Gao, J.-H. Zhao, A practical die stress model and its applications in flip-chip packages, in Proceedings of 7th Intersociety Conference on Thermal and Thermo-mechanical Phenomena in Electronic Systems, Las Vegas, (2000)
W.-R. Jong, M.-L. Chang, The analysis of warpage for integrated circuit devices. J. Reinf. Plast. Compos. 19(2), 64–180 (2000)
E. Suhir, Analysis of interfacial thermal stresses in a tri-material assembly. J. Appl. Phys. 89(7), 3685–3694 (2001)
J.-S. Bae, S. Krishnaswamy, Subinterfacial cracks in bi-material systems subjected to mechanical and thermal loading. Eng. Fract. Mech. 68(9), 1081–1094 (2001)
J.-S. Hsu et al., Photoelastic investigation on thermal stresses in bonded structures, in SPIE Congre`s Experimental Mechanics, vol. 4537 (Beijing, 2002), pp. 170–173, 15–17 Oct 2001
H.B. Fan, M.F. Yuen, E. Suhir, Prediction of delamination in a bi-material system based on free-edge energy evaluation, in 53-rd ECTC Proceedings, (2003), p. 1160
Y. Wen, C. Basaran, An analytical model for thermal stress analysis of multi-layered microelectronics packaging, in 54-th ECTC, (2004), pp. 369–385
D. Sujan et al., Engineering model for interfacial stresses of a heated bi-material structure with bond material used in electronic packages. IMAPS J. Microelectron. Electron. Packag. 2(2), 132–141 (2005)
E. Suhir, J. Nicolics, Analysis of a bow-free pre-stressed test specimen. ASME JAM 81(11), 114502 (2014)
E. Suhir, D. Ingman, Highly compliant bonding material and structure for micro- and opto-electronic applications, in ECTC’06 Proceedings, San Diego (2006)
E. Suhir, D. Ingman, Highly compliant bonding material and structure for micro- and opto-electronic applications, in Micro and opto-electronic materials and structures: physics, mechanics, design, packaging, reliability, ed. by E. Suhir, C.P. Wong, Y.C. Lee (Springer, Berlin, 2007)
E. Suhir, M. Vujosevic, Interfacial stresses in a bi-material assembly with a compliant bonding layer. J. Appl. Phys. D 41, 115504 (2008)
E. Suhir, T. Reinikainen, On a paradoxical situation related to lap shear joints: could transverse grooves in the adherends lead to lower interfacial stresses? J. Appl. Phys. D 41, 115505 (2008)
E. Suhir, “Global” and “Local” thermal mismatch stresses in an elongated bi-material assembly bonded at the ends, in Structural analysis in microelectronic and fiber-optic systems, symposium proceedings, ed. by E. Suhir (ASME Press, New York, 1995), pp. 101–105
E. Suhir, Predicted thermal mismatch stresses in a cylindrical bi-material assembly adhesively bonded at the ends. ASME J. Appl. Mech. 64(1), 15–22 (1997)
E. Suhir, Thermal stress in a polymer coated optical glass fiber with a low modulus coating at the ends. J. Mater. Res. 16(10), 2996–3004 (2001)
E. Suhir, Thermal stress in a bi-material assembly adhesively bonded at the ends. J. Appl. Phys. 89(1), 120–129 (2001)
E. Suhir, Thermal stress in an adhesively bonded joint with a low modulus adhesive layer at the ends. J. Appl. Phys. 55, 3657–3661 (2003)
E. Suhir, Interfacial thermal stresses in a Bi-material assembly with a low-yield-stress bonding layer. Model. Simul. Mater. Sci. Eng. 14, 1421 (2006)
E. Suhir, L. Bechou, B. Levrier, Predicted size of an inelastic zone in a ball-grid-array assembly. ASME J. Appl. Mech. 80, 021007 (2013)
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), 061010 (2012)
E. Suhir, On a paradoxical situation related to bonded joints: could stiffer mid-portions of a compliant attachment result in lower thermal stress? JSME J. Solid Mech. Mater. Eng. (JSMME) 3(7), 990–997 (2009)
E. Suhir, Thermal stress in a bi-material assembly with a “piecewise-continuous” bonding layer: theorem of three axial forces. J. Appl. Phys. D 42, 045507 (2009)
E. Suhir, Adhesively bonded assemblies with identical nondeformable adherends and inhomogeneous adhesive layer: predicted thermal stresses in the adhesive. J. Reinf. Plast. Compos. 17(14), 1588–1606 (1998)
E. Suhir, Adhesively bonded assemblies with identical nondeformable adherends and “piecewise continuous” adhesive layer: predicted thermal stresses and displacements in the adhesive. Int. J. Solids Struct. 37, 2229–2252 (2000)
E. Suhir, R. Ghaffarian, J. Nicolics, Could thermal stresses in a BGA/CGA-system be evaluated from a model intended for a homogeneously bonded assembly? J. Mater. Sci.: Mater. Electron. 27, 570–579 (2016)
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Suhir, E., Ghaffarian, R. Predicted stresses in a ball-grid-array (BGA)/column-grid-array (CGA) assembly with an epoxy adhesive at its ends. J Mater Sci: Mater Electron 27, 4399–4409 (2016). https://doi.org/10.1007/s10854-016-4310-2
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DOI: https://doi.org/10.1007/s10854-016-4310-2