A simple, easy-to-apply and physically meaningful analytical (“mathematical”) stress model is developed for the prediction of the thermally induced stresses in a circular adhesively bonded assembly with identical adherends. The assembly is fabricated at an elevated temperature and is subsequently cooled down to a lower temperature. The developed model can be helpful for stress-strain analyses and physical design of electronic and photonic assemblies of the type in question, and particularly those employed in holographic memory systems.
Issue Section:
Research Papers
References
1.
Timoshenko
, S. P.
, 1925, “Analysis of Bi-Metal Thermostats
,” J. Opt. Soc. Am.
No. 11
, pp. 233
–255
.2.
Aleck
, B. J.
, “Thermal Stresses in a Rectangular Plate Clamped Along an Edge
,” ASME J. Appl Mech.
Vol. 16
, 1949.3.
Namson
, S. S.
, Thermal Stress and Low Cycle Fatigue
, McGraw-Hill
, New York
, 1966.4.
Boley
, B. A.
and Weiner
, J. H.
, Theory of Thermal Stresses
Quantum
, New York
, 1974.5.
Noda
, N.
, Hetnarski
, R. B.
, and Tanigawa
, Y.
, Thermal Stress
, 2nd ed. Taylor and Francis
, London
, 2004.6.
Thermal Stress and Strain in Microelectronics Packaging
, J. H.
Lau
, Ed., VanNostrand Reinhold
, New York
, 1993.7.
Suhir
, E.
, “Analytical Thermal Stress Modeling in Electronic and Photonic Systems
,” ASME Appl. Mech. Rev
. Vol. 62
, No. 4
, 2009.8.
Chen
, W. T.
and Nelson
, C. W.
, 1979, “Thermal Stresses in Bonded Joints C. W.
,” IBM J. Res. Dev.
, Vol. 23
, No. 2
, pp. 178
–188
.9.
Chang
, F.-V.
, 1983, “Thermal Contact Stresses of Bi-Metal Strip Thermostat
,” Appl. Math. Mech
., Vol. 4
, No. 3
, pp. 363
–376
.10.
Bolger
, J. C.
and Mooney
, C. T.
, “Die Attach in Hi-Rel P-DIPs: Polyimides or Low Chloride Epoxies?
,” IEEE CPMT Transactions
, CHMT-7, No. 4
, 1984.11.
Suhir
, E.
, 1986, “Stresses in Bi-Metal Thermostats
,” ASME J. Appl. Mech
., Vol. 53
, No. 3
, pp. 657
–660
.12.
Suhir
, E.
, 1989, “Interfacial Stresses in Bi-Metal Thermostats
,” ASME J. Appl. Mech
., Vol. 56
, No. 3
, pp. 595
–600
.13.
Suhir
, E.
, “Calculated Thermally Induced Stresses in Adhesively Bonded and Soldered Assemblies
,” Proceedings of the International Symposium on Microelectronics
, Atlanta
, GA
, Oct. 1986. ISHM, 1986.14.
Zeyfang
, R.
, 1971, “Stresses and Strains in a Plate Bonded to a Substrate: Semiconductor Devices
,” Solid State Electron
. Vol. 14
, pp. 1035
–1039
.15.
Grimado
, P. B.
, 1978, “Interlamina Thermo-Elastic Stresses in Layered Beams
,” J. Therm. Stresses
, Vol. 1
, pp. 75
–86
.16.
Chen
, D.
, Cheng
, S.
, Geerhardt
, T. D.
, 1982, “Thermal Stresses in Laminated Beams
,” J. Therm. Stresses
, Vol. 5
, pp. 164
–172
.17.
Kuo
, A.
, 1989, “Thermal Stresses at the Edge of a Bimetallic Thermostat
,” ASME J. Appl. Mech.
, Vol. 56
, pp. 585
–589
.18.
Kuo
, A. Y.
, 1990, “Thermal Stress at the Edge of a Bi-Metallic Thermostat
,” ASME J. Appl. Mech.
, Vol. 57
, pp. 317
–330
.19.
Eischen
, J. W.
, Chung
, C.
, and Kim
, J. H.
, 1990, “Realistic Modeling of the Edge Effect Stresses in Bimaterial Elements
,” ASME J. Electron. Packag.
, Vol. 112
, pp. 16
–23
.20.
Suhir
, E.
, 1989, “Axisymmetric Elastic Deformations of a Finite Circular Cylinder with Application to Low Temperature Strains and Stresses in Solder Joints
,” ASME J. Appl. Mech
., Vol. 56
, No. 2
, pp. 841
–865
.21.
Suhir
, E.
, “Mechanical Reliability of Flip-Chip Interconnections in Silicon-on-Silicon Multichip Modules
,” IEEE Conference on Multichip Modules
, IEEE
, March 1993, Santa Cruz
, CA
.22.
Suhir
, E.
and Poborets
, B.
, 1990, “Solder Glass Attachment in Cerdip/Cerquad Packages: Thermally Induced Stresses and Mechanical Reliability
,” ASME J. Electron. Packag
., Vol. 112
, No. 2
, pp. 204
–209
.23.
Suhir
, E.
, 1999, “Adhesively Bonded Assemblies with Identical Nondeformable Adherends: Predicted Thermal Stresses in the Adhesive Layer
,” Compos. Interfaces
, Vol. 6
, No. 2
, pp. 135
–154
.24.
Suhir
, E.
, 1998, “Adhesively Bonded Assemblies with Identical Nondeformable Adherends and Inhomogeneous Adhesive Layer: Predicted Thermal Stresses in the Adhesive
,” J. Reinf. Plast. Compos.
, Vol. 17
, No. 14
, pp. 1588
–1606
.25.
Suhir
, E.
, 2000, “Adhesively Bonded Assemblies with Identical Nondeformable Adherends and “Piecewise Continuous Adhesive Layer: Predicted Thermal Stresses and Displacements in the Adhesive
”, Int. J. Solids Struct.
, Vol. 37
, pp. 2229
–2252
.26.
See http://www.piworld.com/article/photopolymer-holograms-top-list-disruptive-technologies-security-printing-pi-news/1.
27.
Psaltis
, D.
, Brady
, D.
, Gu
, X. G.
, and Lin
, S.
, 1990, “Holography in Artificial Neural Networks
,” Nature
, Vol. 343
, pp. 325
–330
.28.
Ohar
, L.
, Echnoes
, M. G.
, Katz
, H. E.
, Hale
, A.
, Schilling
, M. L.
, and Harris
, A. L.
, 1998, “Temperature-Induced Changes in Photopolymer Volume Holograms
,” Appl. Phys. Lett.
, Vol. 73
, No. 10
, pp. 1337
–1339
.29.
Timoshenko
, S. P.
and Woinowsky-Krieger
, S.
, Theory of Plates and Shells
, McGraw-Hill
, New York
, 1959.30.
Timoshenko
, S. P.
and Goodier
, J. N.
, Theory of Elasticity
, 3rd ed., McGraw-Hill
, New York
, 1970.31.
Sneddon
, I. N.
, Special Functions of Mathematical Physics and Chemistry
Oliver and Boyd
, Edinburgh
, 1956.32.
Janke
, E.
, Emde
, F.
, and Lösch
, F.
, Tafeln Höherer Functionen
, B. G.
Tenbrer
, Ed., Verlagsgesellschaft
, Stuttgart
, 1960 (in German).33.
Suhir
, E.
, 1988, “An Approximate Analysis of Stresses in Multilayer Elastic Thin Films
,” ASME J. Appl. Mech
., Vol. 55
, No. 3
, pp. 143
–148
.Copyright © 2012
by American Society of Mechanical Engineers
You do not currently have access to this content.