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scientific edition of Bauman MSTU

SCIENCE & EDUCATION

Bauman Moscow State Technical University.   El № FS 77 - 48211.   ISSN 1994-0408

Mechanical Stresses Estimation in Silicon and Glass Bonded at Elevated Temperature

# 12, December 2014
DOI: 10.7463/1214.0745310
Article file: SE-BMSTU...o965.pdf (519.77Kb)
author: L.S. Sinev

During electrostatic bonding, also known as anodic bonding, silicon is bonded to glass by applying an external voltage and simultaneous heating to the temperatures of 200…450 °C. While cooling to the working temperature after bonding, pieces are mutually deformed. Due to mismatch between the linear thermal expansion coefficients of anodically bonded glass and silicon samples an internal stress state is generated. Such stresses are called thermal mismatch stresses. Aim of this paper is to define the technological and design solutions to reach minimal thermal mismatch stresses in resulting bond.
Nonlinear dependence of linear thermal expansion coefficients of bonded sample materials on the temperature makes it difficult to minimize thermal mismatch stresses by choosing the materials with close average thermal expansion coefficients within particular temperature range. To assess means of lowering thermal mismatch stress this paper offers to use two different ways to describe the assemblies: two thin bonded layers and multilayered composite material.
Based on properties of two brands of bonded glasses (LK5, Borofloat 33) and silicon the described mathematical models were used to evaluate thermal mismatch stresses at temperature Tw in samples, bonded at several different fixed temperatures Tb. The paper shows that the coefficient stresses on the silicon surface depend on the ratio of thicknesses of glass bonded to silicon wafer. Based on such evaluations it was concluded that by varying thickness of glass one can obtain zero thermal mismatch stress at a particular depth of material or obtain stress of some defined value at this depth.
Models of assembly description used in this paper can be applied to optimize anodic bonding process parameters. The paper presents such usage aimed to minimize thermal mismatch stresses in the range of operating temperatures of obtained device.

References
  1. Wallis G., Pomerantz D.I. Field Assisted Glass-Metal Sealing. Journal of Applied Physics , 1969, vol. 40, no. 10, pp. 3946–3949. DOI: 10.1063/1.1657121
  2. Wei J., Xie H., Nai M. L., Wong C.R., Lee L.C. Low temperature wafer anodic bonding. Journal of Micromechanics and Microengineering , 2003, vol. 13, no. 2, pp. 217-222. DOI: 10.1088/0960-1317/13/2/308
  3. Sinev L.S. Features of application of electrostatic silicon compounds with glass in microsystems technology . Inzhenernyi vestnik MGTU im. N.E. Baumana = Engineering Herald of the Bauman MSTU, 2014, no. 5. Available at: http://engbul.bmstu.ru/doc/722572.html, accessed 20.08.2014. (in Russian).
  4. OST 11 0041-85. Steklo elektrovakuumnoe. Terminy i opredeleniya [Industry Standard 11 0041-85. Electrovacuum glass. Terms and definitions]. Moscow, 1985. 42 p. (in Russian).
  5. Mazurin O.V., Totesh A.S., Strel'tsina M.V., Shvayko-Shvaykovskaya T.P. Teplovoe rasshirenie stekla [ Thermal expansion of glass ]. Leningrad, Nauka Publ., 1969. 216 p. (in Russian).
  6. Zemen Y., Prewitz T., Geipel T. The impact of yield strength of the interconnector on the internal stress of the solar cell within a module. 5th World Conference on Photovoltaic Energy Conversion , Valencia, Spain, 2010, pp. 4073-4078.
  7. Li L., Guo Y., Zheng D. Stress Analysis for Processed Silicon Wafers and Packaged Micro-devices. In: Suhir E., Lee Y. C., Wong C. P., eds. Micro- and Opto-Electronic Materials and Structures: Physics, Mechanics, Design, Reliability, Packaging . Springer US , 2007, pp. B677 - B709. DOI: 10.1007/0-387-32989-7_45
  8. Sinev L.S., Ryabov V.T. Coefficient of Thermal Expansion Balancing for Field Assisted Bonding of Silicon to Glass. Nano- i mikrosistemnaya tekhnika = Journal of Nano and Microsystem Technique , 2011, no. 5 (130), pp. 24-27. (in Russian).
  9. Christensen R.M. Mechanics of composite materials . New York, Wiley-Interscience, 1979. 348 p. (Russ. ed.: Christensen R.M. Vvedenie v mekhaniku kompozitov . Moscow, Mir Publ., 1982. 336 p.).
  10. Jones R.M. Mechanics of composite materials . CRC Press, 1998. 538 p.
  11. Sinev L.S., Ryabov V.T. Coefficient of Thermal Expansion Mismatch Induced Stress Calculation for Field Assisted Bonding of Silicon to Glass. Nano- i mikrosistemnaya tekhnika = Journal of Nano and Microsystem Technique , 2014, no. 9 (170), pp. 32-37. (in Russian).
  12. Cozma A., Puers B. Characterization of the electrostatic bonding of silicon and Pyrex glass. Journal of Micromechanics and Microengineering , 1995, vol. 5, no. 2, pp. 98-102. DOI: 10.1088/0960-1317/5/2/010
  13. Alfutov N.A., Zinov'ev P.A., Popov B.G. Raschet mnogosloynykh plastin i obolochek iz kompozitsionnykh materialov [ Calculation of laminated plates and shells made of composite materials ]. Moscow, Mashinostroenie Publ., 1984. 264 p. (in Russian).
  14. Vasil'ev V.V. Mekhanika konstruktsiy iz kompozitsionnykh materialov [Mechanics of structures made of composite materials]. Moscow, Mashinostroenie Publ., 1988. 272 p. (in Russian).
  15. Silicon (Si), lattice parameter, thermal expansion. In: Madelung O., Rössler U., Schulz M., eds. Group IV Elements, IV-IV and III-V Compounds. Part b – Electronic, Transport, Optical and Other Properties . Springer Berlin Heidelberg , 2002. P. 1-17. (Ser . Landolt-Börnstein - Group III Condensed Matter ; vol. 41A1b). DOI: 10.1007/10832182_445
  16. Bao M. Mechanics of Beam and Diaphragm Structures. Analysis and Design Principles of MEMS Devices . Amsterdam, Elsevier, 2005, pp. 33-114. DOI: 10.1016/B978-044451616-9/50003-5
  17. Schott Borofloat 33. The versatile floated borosilicate glass - with an infinite number of applications. SCHOTT Technical Glass Solutions GmbH: company website. Available at: http://www.schott.com/borofloat/russian/download/borofloat_33_e.pdf, accessed 01.11.2014.
  18. LK5 glass type. Lytkarino Optical Glass Factory, JSC : company website. Available at: http://lzos.ru/glass_pdf/LK5.pdf, accessed 09.10.2007.

 


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