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The Stiffness and Thermal Expansion Coefficient of Iron Particulate Epoxy Composites Defined by Considering the Particle Contiguity


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DOI: https://doi.org/10.15866/iremos.v7i4.1821

Abstract


A theoretical model for the determination of the stiffness and the thermal expansion coefficient of particulate composites is presented in this work. This model takes into consideration the influence of neighboring spherical particles on the thermo mechanical constants of the composite material consisting of matrix and filler. A microstructural composite model which represents the basic cell of the composite at a microscopic scale was transformed to a tetraphase spherical representative volume element, (R. V. E.), in order that classical theory of linear elasticity is applied. This work constitutes a modified consideration of body – centered tetrahedral models that appeared in the literature. The obtained theoretical results using this model were compared with experimental results carried out on iron particles reinforced epoxy resin composites as well as with other theoretical values derived from well known expressions given in the literature and derived by other scientists. Finally an observation of the fracture surface of the specimens was performed through S. E. Microscopy.
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Keywords


Particle-Reinforced Composites; Filler Volume Fraction; Unit Cell; Elastic Properties; Thermal Properties; Scanning Electron Microscopy

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References


Nielsen, L.E., Mechanical properties of polymers and composites, 2, (Marcel Dekker Inc,1974)

Kerner, E. H.: The Elastic and Thermo-Elastic Properties of Composite Media, Proc. Phys. Soc. London, B69 (2), pp. 808-813, 1956
http://dx.doi.org/10.1088/0370-1301/69/8/305

Hashin, Z., Shtrikman, S.: A Variational Approach to the Theory of the Elastic Behavior of Multiphase Materials, J. Mechanics and Physics of Solids 11, pp. 127-140, 1963
http://dx.doi.org/10.1016/0022-5096(63)90060-7

Hojo Z, Toyoshima W, Tamura M, et al. Short and longterm strength and characteristics of particulate-field cast epoxy resin. Polym Eng Sci. 1, 605, 1974.

Alter H. Filler particle size and mechanical properties of Polymers. J Appl Polym Sci. 9 pp 1525–1531, 1966.
http://dx.doi.org/10.1002/app.1965.070090427

Baldin WM. Yield strength of metalls as a funstion of grain size. Acta Mech 1958; 6: 141.

Bhattacharya SK, Basu S and De SK. Effect of particle size on the mechanical properties of poly(vinyl chloride) –icoper particulate composites. J Mater Sci 1978; 13: 2109.
http://dx.doi.org/10.1007/BF00541664

Landon G, Lewis G and Boden GF. The influence of particle size on the tensile strength of particulate-filled polymers. J Mater Sci. 12, 1605–1613, 1977.
http://dx.doi.org/10.1007/BF00542811

Benveniste Y. The effective mechanical behavior of composite materials with imperfect contact between the constituents. Mech Mater. 4, 197–208, 1985
http://dx.doi.org/10.1016/0167-6636(85)90016-X

Hashin Z. Thermoelastic properties of fiber composites with imperfect interface. Mech Mater 1990; 8: 333–348.
http://dx.doi.org/10.1016/0167-6636(90)90051-G

Schrager, M. The Effect of Spherical Inclusions on the Ultimate Strength of Polymer Composites, J. Appl. Polym. Sci. 22, p. 2379- 2381,1978
http://dx.doi.org/10.1002/app.1978.070220826

Paul B. Prediction of Elastic Constants of Multiphase Materials. Transaction of the Metallurgical Society of AIME, 218, pp. 36–41,1960

Guth, E. Theory of Filler Reinforcement, J. Appl. Phys. 16, pp. 20-25,1945.
http://dx.doi.org/10.1063/1.1707495

Smallwood, H. M.: Limiting Law of the Reinforcement of Rubber, J. Appl. Phys. 15, pp. 758-766, 1944
http://dx.doi.org/10.1063/1.1707385

Counto UJ. The effect of the elastic modulus of the aggregate on the elastic modulus, creep and creep recovery of concrete. Mag Concr Res. 16: 129, 1964
http://dx.doi.org/10.1680/macr.1964.16.48.129

Takahashi, K., Ikeda, M., Harakawa, K., Tanaka, K., Sakai, T. Analysis of the Effect of Interfacial Slippage on the Elastic Moduli ofa Particle Filled Polymer, J. Polym. Sci., Pol. Phys. Ed. 16, pp. 415-425, 1978.

Schapery, R. A.: Thermal Expansion Coefficients of Composite Materials Based on Energy Principles, J. Compo Mat. 2 pp. 380-404, 1968
http://dx.doi.org/10.1177/002199836800200308

Kingery WD. Note on the thermal expansion and microstresses in two-face composite. J Amer Ceram Soc. 40 351 – 377, 1957
http://dx.doi.org/10.1111/j.1151-2916.1957.tb12550.x

Arthur G and Coulson JA. Physical properties of uranium dioxide–stainless steel cermets. J Nucl Mater. 13, p.p. 242–253, 1964.
http://dx.doi.org/10.1016/0022-3115(64)90045-5

Thomas, J. P., AD 287-826 General Dynamics, Fort Worth, Tex., 1960

Fahmi AA and Ragai AI. Thermal expansion behavior of two- phase solids. J Appl Phys. 41 p.p. 5108–5111, 1970.
http://dx.doi.org/10.1063/1.1658619

Wang, T.T. and Kwei, T.K. Effect of induced thermal stresses on the coefficients of thermal expansion and densities of filled polymers, J. Polym. Sc. Part A-2, 7, p.p. 889 – 896, 1969

Malliaris A and Turner DT. Influence of particle size on the electrical resistivity of compacted mixtures of polymeric and metallic powders. J Appl Phys 1971; 42: 614–618.
http://dx.doi.org/10.1063/1.1660071

Tummala RR and Friedberg AL. Thermal expansion of composite materials. Symposium on thermal expansion of solids. J Appl Phys. 11, 5104, 1970
http://dx.doi.org/10.1063/1.1658618

J. Hughes, The carbon fibre/epoxy interface—A review Composites Science and Technology, 41 pp. 13–45, 1991
http://dx.doi.org/10.1016/0266-3538(91)90050-Y

Chen S., Jang B. Fracture behaviour of interleaved fiber-resin composites, Composites Science and Technology, 41 pp 77-97, 1991
http://dx.doi.org/10.1016/0266-3538(91)90054-S

Drzal L. T., Interfacial behaviour of aramid and graphite fibers in an epoxy matrix, 15th National SAMPE Techn. Conference. 15, pp. 190-201. Azusa, California, 1983

Drzal L.T. The epoxy interphase in composites Adv. Polym. Sci., 75, pp. 1–32, 1985
http://dx.doi.org/10.1007/BFb0017913

Aboudi J., Arnold S., Pindera M.J.,Response of functionally graded composites to thermal gradients, Composites Engineering 4 pp. 1–18, 1994
http://dx.doi.org/10.1016/0961-9526(94)90003-5

Aboudi J., Pindera M.J., Arnold S. Elastic response of metal matrix composites with tailored microstructures to thermal gradients International Journal of Solids and Structures, 31, pp. 1393–1428, 1994
http://dx.doi.org/10.1016/0020-7683(94)90184-8

Qiu Y.P., Weng G.J., Elastic Moduli of Thickly Coated Particle and Fiber-Reinforced Composites, J. Appl. Mech. 58, pp 388- 398, 1991
http://dx.doi.org/10.1115/1.2897198

Hashin Z. Thermoelastic properties of particulate composites with imperfect interface, Journal of the Mechanics and Physics of Solids pp. 745–762, 1991
http://dx.doi.org/10.1016/0022-5096(91)90023-H

Lombardo N. Bulk modulus of a particulate composite with inhomogeneous interphase. Research Report No. 2004/01, School of Mathematical and Geospatial Sciences, RMIT University, 2004.

Shen L., Li J., Effective elastic moduli of composites reinforced by particle or fiber with an inhomogeneous interphase Int J Solids Struct, 40, pp. 1393–1409, 2003
http://dx.doi.org/10.1016/S0020-7683(02)00659-5

Zhong Y., Wang J., Wu Y.M, Huang Z.P. Effective moduli of particle-filled composite with inhomogeneous interphase: Part II – mapping method and evaluation Compos Sci Technol, 64, pp. 1353–1362, 2004
http://dx.doi.org/10.1016/j.compscitech.2003.10.010

Y.M. Wu, Z.P. Huang, Y. Zhong, J. Wang Effective moduli of particle-filled composite with inhomogeneous interphase: Part I – bounds Compos Sci Technol, 64, pp. 1345–1351, 2004
http://dx.doi.org/10.1016/j.compscitech.2003.10.009

E.J. Garboczi, J.G. Berryman, Elastic moduli of a material containing composite inclusions: effective medium theory and finite element computations, Mechanics of Materials 33, pp 455–470, 2001
http://dx.doi.org/10.1016/S0167-6636(01)00067-9

Einstein A. Berichtigung zu meiner Arbeit: Eine neue Bestimmung der Molekuldimensionen. Ann Phys. 34, 591–592, 1911.
http://dx.doi.org/10.1002/andp.19113390313


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