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Erschienen in: Journal of Materials Science: Materials in Electronics 12/2015

04.09.2015

Predicted stresses in a ball-grid-array (BGA)/column-grid-array (CGA) assembly with a low modulus solder at its ends

verfasst von: Ephraim Suhir, Reza Ghaffarian

Erschienen in: Journal of Materials Science: Materials in Electronics | Ausgabe 12/2015

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Abstract

A simple, easy-to-use and physically meaningful predictive model is suggested for the assessment of thermal stresses in a ball-grid-array or a column-grid-array with a low modulus solder material 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 stresses, even to an extent that inelastic strains in the solder joints could be avoided. If this happens, the fatigue strength of the bond and of the assembly as a whole will be improved dramatically: low-cycle fatigue conditions will be replaced by the elastic fatigue condition, and Palmgren–Minor rule of linear accumulation of damages could be used instead of one of the numerous Coffin–Manson models to assess the lifetime of the material.

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Literatur
1.
Zurück zum Zitat J.R. Martin, R.A. Anderson, Compliant diaphragm material, U.S. Patent #4,837,068 (1989) J.R. Martin, R.A. Anderson, Compliant diaphragm material, U.S. Patent #4,837,068 (1989)
2.
Zurück zum Zitat Z. Kovac et al., Compliant interface for semiconductor chip and method therefor, U.S. Patent #6,133,639 (2000) Z. Kovac et al., Compliant interface for semiconductor chip and method therefor, U.S. Patent #6,133,639 (2000)
3.
Zurück zum Zitat E. Suhir, Electronic assembly having improved resistance to delamination, U.S. Patent #6,028,772 (2000) E. Suhir, Electronic assembly having improved resistance to delamination, U.S. Patent #6,028,772 (2000)
4.
Zurück zum Zitat E. Suhir, Device and method of controlling the bowing of a soldered or adhesively bonded assembly, U.S. Patent #6,239,382 (2001) E. Suhir, Device and method of controlling the bowing of a soldered or adhesively bonded assembly, U.S. Patent #6,239,382 (2001)
5.
Zurück zum Zitat T.H. Di Stefano et al., Compliant microelectronic mounting device, U.S. Patent #6,370,032 (2002) T.H. Di Stefano et al., Compliant microelectronic mounting device, U.S. Patent #6,370,032 (2002)
6.
Zurück zum Zitat E. Suhir, Bi-material assembly adhesively bonded at the ends and fabrication method, U.S. Patent #6,460,753 (2002) E. Suhir, Bi-material assembly adhesively bonded at the ends and fabrication method, U.S. Patent #6,460,753 (2002)
7.
Zurück zum Zitat E. Suhir, Coated optical glass fiber, U.S. Patent #6,647,195 (2003) E. Suhir, Coated optical glass fiber, U.S. Patent #6,647,195 (2003)
8.
Zurück zum Zitat Z. Kovac et al., Methods for making electronic assemblies including compliant interfaces, U.S. Patent #6,525,429 (2003) Z. Kovac et al., Methods for making electronic assemblies including compliant interfaces, U.S. Patent #6,525,429 (2003)
9.
Zurück zum Zitat E.C. Paterson et al., Mechanical highly compliant thermal interface pad, U.S. Patent #6,910,271 (2005) E.C. Paterson et al., Mechanical highly compliant thermal interface pad, U.S. Patent #6,910,271 (2005)
10.
Zurück zum Zitat Z. Kovac et al., Methods of making microelectronic assemblies including compliant interfaces, U.S. Patent #6,870,272 (2005) Z. Kovac et al., Methods of making microelectronic assemblies including compliant interfaces, U.S. Patent #6,870,272 (2005)
11.
Zurück zum Zitat R. Zeyfang, Stresses and strains in a plate bonded to a substrate: semiconductor devices. Solid State Electron. 14, 1035–1039 (1971)CrossRef R. Zeyfang, Stresses and strains in a plate bonded to a substrate: semiconductor devices. Solid State Electron. 14, 1035–1039 (1971)CrossRef
12.
Zurück zum Zitat D. Chen, S.T. Cheng, T.D. Gerhardt, Thermal stresses in laminated beams. J. Thermal Stress. 5, 67–84 (1982)CrossRef D. Chen, S.T. Cheng, T.D. Gerhardt, Thermal stresses in laminated beams. J. Thermal Stress. 5, 67–84 (1982)CrossRef
13.
Zurück zum Zitat F.-V. Chang, Thermal contact stresses of Bi-metal strip thermostat. Appl. Math. Mech. 4(3), 363–376 (1983)CrossRef F.-V. Chang, Thermal contact stresses of Bi-metal strip thermostat. Appl. Math. Mech. 4(3), 363–376 (1983)CrossRef
14.
Zurück zum Zitat J. Padovan, Anisotropic thermal stress analysis. Thermal Stress. I 1, 143–262 (1986) J. Padovan, Anisotropic thermal stress analysis. Thermal Stress. I 1, 143–262 (1986)
15.
Zurück zum Zitat E. Suhir, Calculated thermally induced stresses in adhesively bonded and soldered assemblies, in Proceedings of the International Symposium on Microelectronics, ISHM, Atlanta, Georgia (1986) E. Suhir, Calculated thermally induced stresses in adhesively bonded and soldered assemblies, in Proceedings of the International Symposium on Microelectronics, ISHM, Atlanta, Georgia (1986)
16.
Zurück zum Zitat E. Suhir, Stresses in Bi-metal thermostats. ASME J. Appl. Mech. 53(3), 657–660 (1986)CrossRef E. Suhir, Stresses in Bi-metal thermostats. ASME J. Appl. Mech. 53(3), 657–660 (1986)CrossRef
17.
Zurück zum Zitat 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, MA, (1987) pp. 508–517 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, MA, (1987) pp. 508–517
18.
Zurück zum Zitat E. Suhir, An approximate analysis of stresses in multilayer elastic thin films. ASME J. Appl. Mech. 55(3), 143–148 (1988)CrossRef E. Suhir, An approximate analysis of stresses in multilayer elastic thin films. ASME J. Appl. Mech. 55(3), 143–148 (1988)CrossRef
19.
Zurück zum Zitat A. Kuo, Thermal stresses at the edge of a bimetallic thermostat. ASME J. Appl. Mech. 56, 585–589 (1989)CrossRef A. Kuo, Thermal stresses at the edge of a bimetallic thermostat. ASME J. Appl. Mech. 56, 585–589 (1989)CrossRef
20.
Zurück zum Zitat E. Suhir, Interfacial stresses in Bi-metal thermostats. ASME J. Appl. Mech. 56(3), 595–600 (1989)CrossRef E. Suhir, Interfacial stresses in Bi-metal thermostats. ASME J. Appl. Mech. 56(3), 595–600 (1989)CrossRef
21.
Zurück zum Zitat 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)CrossRef 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)CrossRef
22.
Zurück zum Zitat 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 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
23.
Zurück zum Zitat 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)CrossRef 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)CrossRef
24.
Zurück zum Zitat P.M. Hall et al., Strains in aluminum–adhesive–ceramic trilayers. ASME J. Electron. Packag. 112(4), 288–302 (1990)CrossRef P.M. Hall et al., Strains in aluminum–adhesive–ceramic trilayers. ASME J. Electron. Packag. 112(4), 288–302 (1990)CrossRef
25.
Zurück zum Zitat A.Y. Kuo, Thermal stress at the edge of a Bi-metallic thermostat. ASME J. Appl. Mech. 56(3), 585–589 (1989)CrossRef A.Y. Kuo, Thermal stress at the edge of a Bi-metallic thermostat. ASME J. Appl. Mech. 56(3), 585–589 (1989)CrossRef
26.
Zurück zum Zitat C.A. Klein, Thermal stress modeling for diamond-coated optical windows, in 22nd Annual Boulder Damage Symposium, Boulder, CO, (Oct 24–26, 1990) pp. 488–509 C.A. Klein, Thermal stress modeling for diamond-coated optical windows, in 22nd Annual Boulder Damage Symposium, Boulder, CO, (Oct 24–26, 1990) pp. 488–509
27.
Zurück zum Zitat 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)CrossRef 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)CrossRef
28.
Zurück zum Zitat A.O. Cifuentes, Elastoplastic analysis of bimaterial beams subjected to thermal loads. ASME J. Electron. Packag. 113(4), 355–358 (1991)CrossRef A.O. Cifuentes, Elastoplastic analysis of bimaterial beams subjected to thermal loads. ASME J. Electron. Packag. 113(4), 355–358 (1991)CrossRef
29.
Zurück zum Zitat H.S. Morgan, Thermal stresses in layered electrical assemblies bonded with solder. ASME J. Electron. Packag. 113(4), 350–354 (1991)CrossRef H.S. Morgan, Thermal stresses in layered electrical assemblies bonded with solder. ASME J. Electron. Packag. 113(4), 350–354 (1991)CrossRef
30.
Zurück zum Zitat 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) 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)
31.
Zurück zum Zitat 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, CA (1992) pp. 563–572 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, CA (1992) pp. 563–572
32.
Zurück zum Zitat J.H. Lau (ed.), Thermal stress and strain in microelectronics packaging (Van-Nostrand Reinhold, New York, 1993) J.H. Lau (ed.), Thermal stress and strain in microelectronics packaging (Van-Nostrand Reinhold, New York, 1993)
33.
Zurück zum Zitat 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 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
34.
Zurück zum Zitat 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)CrossRef 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)CrossRef
35.
Zurück zum Zitat 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) 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)
36.
Zurück zum Zitat 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)CrossRef 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)CrossRef
37.
Zurück zum Zitat 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, FL (1997) pp. 25–33 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, FL (1997) pp. 25–33
38.
Zurück zum Zitat E. Suhir, Thermal stress failures in microelectronics and photonics: prediction and prevention. Future Circuits Int. 5, 20 (1999) E. Suhir, Thermal stress failures in microelectronics and photonics: prediction and prevention. Future Circuits Int. 5, 20 (1999)
39.
Zurück zum Zitat E. Suhir, Adhesively bonded assemblies with identical nondeformable adherends: predicted thermal stresses in the adhesive layer. Compos. Interface 6(2), 62 (1999) E. Suhir, Adhesively bonded assemblies with identical nondeformable adherends: predicted thermal stresses in the adhesive layer. Compos. Interface 6(2), 62 (1999)
40.
Zurück zum Zitat 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)CrossRef 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)CrossRef
41.
Zurück zum Zitat E. Carrera, An assessment of mixed and classical theories for the thermal stress analysis of orthotropic multilayered plates. J. Thermal Stress. 23(9), 97–831 (2000)CrossRef E. Carrera, An assessment of mixed and classical theories for the thermal stress analysis of orthotropic multilayered plates. J. Thermal Stress. 23(9), 97–831 (2000)CrossRef
42.
Zurück zum Zitat 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, NV (May 23–26, 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, NV (May 23–26, 2000)
43.
Zurück zum Zitat W.-R. Jong, M.-L. Chang, The analysis of warpage for integrated circuit devices. J. Reinf. Plast. Compos. 19(2), 64–180 (2000)CrossRef W.-R. Jong, M.-L. Chang, The analysis of warpage for integrated circuit devices. J. Reinf. Plast. Compos. 19(2), 64–180 (2000)CrossRef
44.
Zurück zum Zitat E. Suhir, Analysis of interfacial thermal stresses in a tri-material assembly. J. Appl. Phys. 89(7), 3685–3694 (2001)CrossRef E. Suhir, Analysis of interfacial thermal stresses in a tri-material assembly. J. Appl. Phys. 89(7), 3685–3694 (2001)CrossRef
45.
Zurück zum Zitat 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)CrossRef 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)CrossRef
46.
Zurück zum Zitat J.-S. Hsu et al., Photoelastic investigation on thermal stresses in bonded structures, in SPIE Congrès Experimental Mechanics (Beijing, 15–17 October 2001), vol 4537 (2002) pp. 170–173 J.-S. Hsu et al., Photoelastic investigation on thermal stresses in bonded structures, in SPIE Congrès Experimental Mechanics (Beijing, 15–17 October 2001), vol 4537 (2002) pp. 170–173
47.
Zurück zum Zitat 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) pp. 1160 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) pp. 1160
48.
Zurück zum Zitat Y. Wen, C. Basaran, An analytical model for thermal stress analysis of multi-layered microelectronics packaging, in 54-th ECTC (2004) pp. 369–385 Y. Wen, C. Basaran, An analytical model for thermal stress analysis of multi-layered microelectronics packaging, in 54-th ECTC (2004) pp. 369–385
49.
Zurück zum Zitat 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) (2005) 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) (2005)
50.
Zurück zum Zitat E. Suhir, J. Nicolics, Analysis of a bow-free pre-stressed test specimen. ASME JAM 81(11), 114502-1–114502-4 (2014) E. Suhir, J. Nicolics, Analysis of a bow-free pre-stressed test specimen. ASME JAM 81(11), 114502-1–114502-4 (2014)
51.
Zurück zum Zitat E. Suhir, D. Ingman, Highly compliant bonding material and structure for micro- and opto-electronic applications, in ECTC’06 Proceedings, San Diego (May 2006) E. Suhir, D. Ingman, Highly compliant bonding material and structure for micro- and opto-electronic applications, in ECTC’06 Proceedings, San Diego (May 2006)
52.
Zurück zum Zitat 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)CrossRef 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)CrossRef
53.
Zurück zum Zitat E. Suhir, M. Vujosevic, Interfacial stresses in a Bi-material assembly with a compliant bonding layer. J. Appl. Phys. D 41, 115504 (2008)CrossRef E. Suhir, M. Vujosevic, Interfacial stresses in a Bi-material assembly with a compliant bonding layer. J. Appl. Phys. D 41, 115504 (2008)CrossRef
54.
Zurück zum Zitat 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)CrossRef 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)CrossRef
55.
Zurück zum Zitat 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, “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
56.
Zurück zum Zitat 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)CrossRef 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)CrossRef
57.
Zurück zum Zitat 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)CrossRef 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)CrossRef
58.
Zurück zum Zitat E. Suhir, Thermal stress in a Bi-material assembly adhesively bonded at the ends. J. Appl. Phys. 89(1), 120–129 (2001)CrossRef E. Suhir, Thermal stress in a Bi-material assembly adhesively bonded at the ends. J. Appl. Phys. 89(1), 120–129 (2001)CrossRef
59.
Zurück zum Zitat 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, Thermal stress in an adhesively bonded joint with a low modulus adhesive layer at the ends. J. Appl. Phys. 55, 3657–3661 (2003)
60.
Zurück zum Zitat 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)CrossRef 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)CrossRef
61.
Zurück zum Zitat E. Suhir, L. Bechou, B. Levrier, Predicted size of an inelastic zone in a ball-grid-array assembly. ASME J. Appl. Mech. 80, 021007-1–021007-5 (2013) E. Suhir, L. Bechou, B. Levrier, Predicted size of an inelastic zone in a ball-grid-array assembly. ASME J. Appl. Mech. 80, 021007-1–021007-5 (2013)
62.
Zurück zum Zitat 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), 061010-1–061010-8 (2012)CrossRef 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), 061010-1–061010-8 (2012)CrossRef
63.
Zurück zum Zitat 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)CrossRef 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)CrossRef
64.
Zurück zum Zitat 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, 045507-1–045507-7 (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, 045507-1–045507-7 (2009)
65.
Zurück zum Zitat 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 inhomogeneous adhesive layer: predicted thermal stresses in the adhesive. J. Reinf. Plast. Compos. 17(14), 1588–1606 (1998)
66.
Zurück zum Zitat 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)CrossRef 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)CrossRef
Metadaten
Titel
Predicted stresses in a ball-grid-array (BGA)/column-grid-array (CGA) assembly with a low modulus solder at its ends
verfasst von
Ephraim Suhir
Reza Ghaffarian
Publikationsdatum
04.09.2015
Verlag
Springer US
Erschienen in
Journal of Materials Science: Materials in Electronics / Ausgabe 12/2015
Print ISSN: 0957-4522
Elektronische ISSN: 1573-482X
DOI
https://doi.org/10.1007/s10854-015-3635-6

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