Effective thermal expansion coefficient of a sintered glass–eucryptite composite
Source abstract
Abstract
The paper focuses on a glass–ceramic composite consisting of lead borate glass matrix containing isolated eucryptite granules (hereafter called inhomogeneities) having negative thermal expansion coefficient. We discuss the dependence of the overall thermal expansion on the size of the particles and the temperature of sintering as well as the process of the diffusion of lithium from eucryptite into the glass matrix. The latter leads to the formation of interphase zones between the matrix and inhomogeneities. The overall thermal expansion coefficient is measured experimentally and modeled using various micromechanical schemes. The best agreement for the entire range of variation of the eucryptite volume fraction is provided by Maxwell homogenization scheme.
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Research context
OpenAlex topics: Composite Material Mechanics · Advanced Mathematical Modeling in Engineering · Advanced ceramic materials synthesis
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References (34)
Show source-provided references
1. Allred RE, Drotning WD, Warren WE (1990) Thermal-expansion of β-eucryptite filled bismaleimide and glass bismaleimide composites. In: Allred RE, Martinez RJ, Wischmann KB (eds) Electronic materials—our future. Society for Advancement Material and Process Engineering, Covina, pp 413–427
2. Belke RE, Trojanowsk GF, Zakraysek L (1989) Metal matrix composite for semiconductor device packages|consists of aluminium and β-eucryptite. Patent Number: US4806704-A, Patent Assignee: General Electric Co
3. Benveniste Y (1987) A new approach to the application of Mori-Tanaka’s theory in composite materials. Mech Mater 6:147–15710.1016/0167-6636(87)90005-6 ↗
4. Bobkova NM (2009) Low-melting glass based on lead-borate systems. Glass Ceram 66(5–6):206–20910.1007/s10717-009-9170-2 ↗
5. Donald IW (1993) Preparation, properties and chemistry of glass- and glass-ceramic-to-metal seals and coatings. J Mater Sci 28(11):2841–2886. doi: 10.1007/BF0035468910.1007/BF00354689 ↗
6. Fridlyander IN, Klyagina NS, Tykachinskii ID, Dain EP, Gordeeva GD (1974) Composite materials with a low coefficient of thermal expansion. Met Sci Heat Treat 16:495–49710.1007/BF01166782 ↗
7. Garcia-Moreno O, Borrell A, Bittmann B (2011) Alumina reinforced eucryptite ceramics: very low thermal expansion material with improved mechanical properties. J Eur Ceram Soc 31:1641–164810.1016/j.jeurceramsoc.2011.03.033 ↗
8. Geodakyan DA, Petrosyan BV, Geodakyan KD (2007) Design and synthesis of fusible glass solder with previously assigned properties. Glass Ceram 64(9–10):326–33210.1007/s10717-007-0083-7 ↗
9. Grigoriev IS, Melikhov EZ (1991) Handbook of physical values. Energoatomizdat, Moscow (in Russian)
10. Hashin Z, Shtrikman S (1963) A variational approach to the theory of the elastic behavior of multiphase materials. J Mech Phys Solids 11:127–14010.1016/0022-5096(63)90060-7 ↗
11. Hill R (1963) Elastic properties of reinforced solids: Some theoretical principles. J Mech Phys Solids 11:357–37210.1016/0022-5096(63)90036-X ↗
12. Kanaun SK, Levin VM (2008) Self-consistent methods for composites, vol 1: static problems. Springer, Berlin
13. Kerner EH (1956) The elastic and thermoelastic properties of composite media. P Phys Soc S-B 69(8):808-813. doi: 10.1088/0370-1301/69/8/30510.1088/0370-1301/69/8/305 ↗
14. Levin VM (1967) On the coefficients of thermal expansion of heterogeneous material. Mech Solids 2:58–61 (English translation of Izvestia AN SSSR, Mekhanika Tverdogo Tela)
15. Mandal S, Chakrabarti S, Ghatak S, Das SK (2005) Ultra low and negative expansion glass–ceramic materials produced from pyrophyllite and blast furnace slag. Bull Mater Sci 28(5):437–44310.1007/BF02711233 ↗
16. Mori T, Tanaka K (1973) Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metall 21:571–57410.1016/0001-6160(73)90064-3 ↗
17. Pogrebenkov VM, Kostikov KS, Sudarev EA, Elistratova AV, Kamyshnaya KS, Kolesova TV (2015) Low-melting glass–ceramic composites with low linear thermal expansion coefficient for radio-electronics. Appl Mech Mater 756:313–31810.4028/www.scientific.net/AMM.756.313 ↗
18. Reimanis IE, Seick C, Fitzpatrick K (2007) Spontaneous ejecta from β-eucryptite composites. J Am Ceram Soc 90:2497–250110.1111/j.1551-2916.2007.01744.x ↗
19. Rosen BW, Hashin Z (1970) Effective thermal expansion coefficients and specific heats of composite materials. Int J Eng Sci 8:157–17310.1016/0020-7225(70)90066-2 ↗
20. Sevostianov I (2007) Dependence of the effective thermal pressure coefficient of a particulate composite on particles size. Int J Fract 145:333–34010.1007/s10704-007-9132-z ↗
21. Sevostianov I (2011) On the thermal expansion of composite materials and cross-property connection between thermal expansion and thermal conductivity. Mech Mater 45:20–3310.1016/j.mechmat.2011.10.001 ↗
22. Sevostianov I (2014) On the shape of effective inclusion in the Maxwell homogenization scheme for anisotropic elastic composites. Mech Mater 75:45–5910.1016/j.mechmat.2014.03.003 ↗
23. Sevostianov I, Giraud A (2013) Generalization of Maxwell homogenization scheme for elastic material containing inhomogeneities of diverse shape. Int J Eng Sci 64:23–3610.1016/j.ijengsci.2012.12.004 ↗
24. Sevostianov I, Kachanov M (2006) Homogenization of a nanoparticle with graded interface. Int J Fract 139:121–12710.1007/s10704-006-8369-2 ↗
25. Sevostianov I, Kachanov M (2007) Nanoparticle reinforced materials: effect of interphase layers on the overall properties. Int J Solids Struct 44:1304–131510.1016/j.ijsolstr.2006.06.020 ↗
26. Sevostianov I, Kachanov M (2014) On some controversial issues in theories of effective properties. Mech Mater 69:93–105. doi: 10.1016/j.mechmat.2013.09.01010.1016/j.mechmat.2013.09.010 ↗
27. Shen L, Li J (2003) Effective elastic moduli of composites reinforced by particle or fiber with an inhomogeneous interface. Int J Solids Struct 40:1393-140910.1016/S0020-7683(02)00659-5 ↗
28. Shen L, Li, J (2005) Homogenization of a fibre/sphere with an inhomogeneous interphase for the effective elastic moduli of composites. Proc Roy Soc L A-461:1475-150410.1098/rspa.2005.1447 ↗
29. Sighinolfi D (2010) Thermal expansion of lithium aluminium silicate glass-ceramics. Ceram Forum Int CFI 87(3):E36
30. Shimada T, Mizuno M, Kurachi K, Kato N, Sakurada O, Hashiba M, Nurishi Y (1996) Simultaneous fabrication of a composite with low thermal expansion and high strength in the eucryptite-yttria-stabilized PSZ system. J Mater Sci 31:3691–3695. doi: 10.1007/BF0035278110.1007/BF00352781 ↗
31. Taiheiyo Cement Corp(Onod-C) (2001) Composite ceramic for structure components such as precision machines, comprises eucryptite, silicon nitride and/or silicon carbide, and has preset thermal expansion coefficient and Young’s modulus. Patent Number: JP2001302338-A
32. Tummala RR, Friedberg AL (1970) Thermal expansion of composite materials. J Appl Phys 41:5104–510710.1063/1.1658618 ↗
33. Turner PS (1946) Thermal expansion stresses in reinforced plastics. J Res Nat Bureau Stand 37:239–25010.6028/jres.037.015 ↗
34. Xu H, Heaney PJ, Yates DM, von Dreele RB, Bourke MA (1999) Structural mechanisms underlying near-zero thermal expansion in β-eucryptite: a combined synchrotron x-ray and neutron Rietveld analysis. J Mater Res 14:313810.1557/JMR.1999.0421 ↗