A theoretical model for the evaluation of the elastic modulus and thermal expansion coefficient of particulate composites is presented in this study. This model takes into consideration the influence of neighboring spherical particles on the thermomechanical constants of the composites 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 six-phase spherical representative volume element in order to apply the classical theory of elasticity to this. 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 expression given in the literature.
NielsenLE. Mechanical properties of polymers and composites. Vol. 2, New York: Marcel Dekker Inc., 1974.
2.
KernerEH. The elastic and thermo-elastic properties of composite media. Proc Phys Soc1956; 69B: 808–813.
3.
HashinZShtrikmanJ. A variational approach to the elastic behavior of multiphase minerals. J Mech Phys Solids1963; 11: 127–140.
4.
Hojo Z, Toyoshima W, Tamura M, et al. Short and long-term strength and characteristics of particulate-field cast epoxy resin. Polym Eng Sci 1974; 14: 605.
5.
Alter H. Filler particle size and mechanical properties of Polymers. J Appl Polym Sci 1966; 9: 1525–1531.
6.
Baldin WM. Yield strength of metalls as a funstion of grain size. Acta Mech 1958; 6: 141.
7.
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.
8.
LandonGLewisGBodenGF. The influence of particle size on the tensile strength of particulate-filled polymers. J Mater Sci1977; 12: 1605–1613.
9.
BenvenisteY. The effective mechanical behavior of composite materials with imperfect contact between the constituents. Mech Mater1985; 4: 197–208.
10.
HashinZ. Thermoelastic properties of fiber composites with imperfect interface. Mech Mater1990; 8: 333–348.
11.
EinsteinA. Uber die von Molekular kinetischen theorie der Warme geförderten Bewegung von in Ruhenden Flussigkeiten suspendierten Teilchen. Ann Phys1905; 17: 549–549.
12.
EinsteinA. Eine neue Bestimmung der Molekuldimensionen. Ann Phys1906; 19: 289–306.
13.
EinsteinA. Berichtigung zu meiner Arbeit: Eine neue Bestimmung der Molekuldimensionen. Ann Phys1911; 34: 591–592.
14.
Paul B. Prediction of Elastic Constants of Multiphase Materials. Transaction of the Metallurgical Society of AIME 1960; 218: 36–41.
15.
GuthG. Theory of filler reinforcement. J Appl Phys1945; 16: 20–25.
16.
SmallwoodHM. Limiting law of the reinforcement of rubber. J Appl Phys1944; 15: 758–766.
17.
Counto UJ. The effect of the elastic modulus of the aggregate on the elastic modulus, creep and creep recovery of concrete. Mag Concr Res 1964; 16: 129.
18.
Takahashi K, Ikeda M, Harakawa K, et al. Analysis of the effect of the interfacial slippage on the elastic moduli of a particle filled polymer. J Polym Sci Part B: Polym Phys 1978; 16: 415.
19.
Schapery RA. Thermal expansion coefficient of composite materials based on energy principles. J Comp Mater 1968; 2: 380–404.
20.
Kingery WD. Note on the thermal expansion and microstresses in two-face composite. J Amer Ceram Soc 1957; 40: 351.
WangTTKweiTK. Effect of induced thermal stress on the coefficient of thermal expansion and densities of filled polymers. J Polym Sci1969; 7(5): 889–896.
25.
MalliarisATurnerDT. Influence of particle size on the electrical resistivity of compacted mixtures of polymeric and metallic powders. J Appl Phys1971; 42: 614–618.
26.
Tummala RR and Friedberg AL. Thermal expansion of composite materials. Symposium on thermal expansion of solids. J Appl Phys 1970; 11(13): 5104.
27.
Torquato SJ. Effective stiffness tensor of composite media. II Applications to isotropic dispersions. J Mech Phys Solids 1998; 46(8): 1411.
28.
Gibianski LV and Torquato SJ. New method to generate free-point bounds on effective properties of composites: Application to viscoelasticity. J Mech Phys Solids 1998; 46(4): 749–783.
29.
O’ RourkeJPIngberMSWeiserMW. The effective elastic constants of solids containing spherical exclusions. J Compos Mater1997; 31(9): 910–934.
30.
KachanovMSevostianovI. On quantitative characterization of microstructures and effective properties. Int J Solids Struct2005; 42: 309–336.
31.
WangWJasiukI. Effective elastic constants of particulate composites with inhomogeneous interphases. J Compos Mater1998; 32(15): 1391–1424.
32.
KhanKAMulianaAH. Effective thermal properties of viscoelastic composites having field-dependent constituent properties. Acta Mech2010; 209: 153–178.
33.
SevostianovI. On the thermal expansion of composite materials and cross-property connection between thermal expansion and thermal conductivity. Mech Mater2012; 45: 20–33.
34.
YinHMSunLZ. Elastic modelling of periodic composites with particle interactions. Philos Mag Lett2005; 85(4): 163–173.
